November 2006 arXiv papers

Martin H. Weissman

The space of elliptic modular forms of fixed weight and level can be identfied with a space of intertwining operators, from a holomorphic discrete series representation of SL2(R) to a space of automorphic forms. Moreover, multiplying elliptic modular forms corresponds to a branching problem involving tensor products of holomorphic discrete series representat

P. Coleman

An introduction to the physics of heavy fermion compounds is presented, attempting to highlight the conceptual developments and emphasize the mysteries and open questions that persist in this active field of research.

Jun Goryo, Mahito Kohmoto, Yong-Shi Wu

In this paper we propose the quantized spin Hall effect (SHE) in the vortex state of a rotating p-wave paired Fermi system in an inhomogeneous magnetic field and in a weak periodic potential. It is the three dimensional extension of the spin Hall effect for a 3He-A superfluid film studied in Ref. [1]. It may also be considered as a generalization of the 3D q

Patrick D'Astous, Pierre Robillard, Françoise Détienne, Willemien Visser

Peer review meetings (PRMs) are formal meetings during which peers systematically analyze artifacts to improve their quality and report on non-conformities. This paper presents an approach based on protocol analysis for quantifying the influence of participant roles during PRMs. Three views are used to characterize the seven defined participant roles. The pr

Jean-Marie Burkhardt, Françoise Détienne, Susan Wiedenbeck

The goal of our study is to evaluate the effect on program comprehension of three factors that have not previously been studied in a single experiment. These factors are programmer expertise (expert vs. novice), programming task (documentation vs. reuse), and the development of understanding over time (phase 1 vs. phase 2). This study is carried out in the c

Cyril Petitjean, Diego V. Bevilaqua, Eric J. Heller, Philippe Jacquod

Motivated by neutron scattering experiments, we investigate the decay of the fidelity with which a wave packet is reconstructed by a perfect time-reversal operation performed after a phase space displacement. In the semiclassical limit, we show that the decay rate is generically given by the Lyapunov exponent of the classical dynamics. For small displacement

Brian A. Powell, William H. Kinney

We consider the effects on the primordial power spectrum of a period of radiation-dominated expansion prior to the inflationary era. If inflation lasts a total of only 60 e-folds or so, the boundary condition for quantum modes cannot be taken in the short-wavelength limit as in the standard perturbation calculation. Instead, the boundary condition is set by

Michael Beeson

Let C be a real-analytic Jordan curve in $R^3$. Then C cannot bound infinitely many disk-type minimal surfaces which provide relative minima of area.

Pavle V. M. Blagojevic, Aleksandra S. Dimitrijevic Blagojevic, John McCleary

In combinatorial problems it is sometimes possible to define a $G$-equivariant mapping from a space $X$ of configurations of a system to a Euclidean space $\mathbb{R}^m$ for which a coincidence of the image of this mapping with an arrangement $\mathcal{A}$ of linear subspaces insures a desired set of linear conditions on a configuration. Borsuk-Ulam type the

Gonzalo J. Olmo

We study modified theories of gravity of the f(R) type in Palatini formalism. For a generic f(R) lagrangian, we show that the metric can be solved as the product of a scalar function times a rank-two tensor (or auxiliary metric). The scalar function is sensitive to the local energy-momentum density. The auxiliary metric satisfies a set of equations very simi

Mark Hannam, Sascha Husa, Bernd Bruegmann, Jose A. Gonzalez

It is well-known that Bowen-York initial data contain spurious radiation. Although this ``junk'' radiation has been seen to be small for non-spinning black-hole binaries in circular orbit, its magnitude increases when the black holes are given spin. It is possible to reduce the spurious radiation by applying the puncture approach to multiple Kerr bla

Antonio Enea Romano

We show that positive averaged acceleration obtained in LTB models through spatial averaging can require integration over a region beyond the event horizon of the central observer. We provide an example of a LTB model with positive averaged acceleration in which the luminosity distance does not contain information about the entire spatially averaged region,

Rubens Viana Ramos

In this work, are used Chaitin number Omega and the fact that the general decomposition of an N-way disentangled state is an irreducible sentence whose number of coefficients grows in a non-polynomial way with N, to construct a problem that can never be solved in P.

M. Revnivtsev, A. Vikhlinin, S. Sazonov

We use Chandra deep observations of the Galactic Center (GC) region to improve the constraints on the unresolved fraction of the Galactic X-ray background (also known as the Galactic ridge X-ray emission). We emphasize the importance of correcting the measured source counts at low fluxes for bias associated with Poisson noise. We find that at distances of 2&

J. -P. Blaizot, E. Iancu, U. Kraemmer, A. Rebhan

We apply the previously proposed scheme of approximately self-consistent hard-thermal-loop resummations in the entropy of high-temperature QCD to N=4 supersymmetric Yang-Mills (SYM) theories and compare with a (uniquely determined) R[4,4] Padé approximant that interpolates accurately between the known perturbative result and the next-to-leading order strong-

I. Agullo, J. Navarro-Salas, Gonzalo J. Olmo, Leonard Parker

The Hawking effect can be rederived in terms of two-point functions and in such a way that it makes it possible to estimate, within the conventional semiclassical theory, the contribution of ultrashort distances to the Planckian spectrum. For Schwarzschild black holes of three solar masses the analysis shows that Hawking radiation is very robust up to freque

A. Paramekanti, E. Zhao

Angle resolved photoemission experiments by Kanigel, et al (cond-mat/0605499) [Nature Physics 2, 447 (2006)] have made a remarkable observation that low energy electronic excitations in the normal state of underdoped cuprate superconductors exist on open ``Fermi arcs'' instead of a closed Fermi surface. These arcs shrink upon cooling, with the arc le

Levent Akant, Govind S. Krishnaswami

This work concerns single-trace correlations of Euclidean multi-matrix models. In the large-N limit we show that Schwinger-Dyson equations imply loop equations and non-anomalous Ward identities. Loop equations are associated to generic infinitesimal changes of matrix variables (vector fields). Ward identities correspond to vector fields preserving measure an

Girma Hailu, S. -H. Henry Tye

We study corrections to the anomalous mass dimension and their effects in the Seiberg duality cascade in the Klebanov-Strassler throat, where $\mathcal{N}=1$ supersymmetric $SU(N+M)\times SU(N)$ gauge theory with bifundamental chiral superfields and a quartic tree level superpotential in four dimensions is dual to type IIB string theory on $AdS_5 \times T^{1

Constantinos Simserides

Under an in-plane magnetic field, the density of states of quasi two-dimensional carriers deviates from the occasionally stereotypic step-like form both quantitatively and qualitatively. For the first time, we study how this affects the spin-subband populations and the spin-polarization as functions of the temperature, T, and the in-plane magnetic field, B,

Florentin Smarandache

A great number of articles widen a known scientific result $P(a)$ (such as: a theorem, an inequality, or a math/physics/chemical etc. proposition or formula) by a simple recurrence procedure and using, in the proof, the proposition $P(a)$ itself. We present, as examples, the generalizations of Hölder's inequality, of Minkovski's inequality, of Tcheby

Jian Zhai

An upper bound of blow up rate for the Navier-Stokes equations with small data in L^2(R^3) is obtained.

Michael C. Abbott, David A. Lowe

A quantum deformation of three-dimensional de Sitter space was proposed in hep-th/0407188. We use this to calculate the entropy of Kerr-de Sitter space, using a canonical ensemble, and find agreement with the semiclassical result.

Eugene V. Sukhorukov, Andrew N. Jordan

We generalize the stochastic path integral formalism by considering Hamiltonian dynamics in the presence of general Markovian noise. Kramers' solution of the activation rate for escape over a barrier is generalized for non-Gaussian driving noise in both the overdamped and underdamped limit. We apply our general results to a Josephson junction detector me

Jian Zhai

We consider the interior regularity of Leray-Hopf solutions to Navier-Stokes equations on critical case L^2_w(0,T;L^\infty(R^3)). Particularly, an open problem proposed in [KK] was solved.

Ralf Schiffler

We consider the Ptolemy cluster algebras, which are cluster algebras of finite type $A$ (with non-trivial coefficients) that have been described by Fomin and Zelevinsky using triangulations of a regular polygon. Given any seed $\zS$ in a Ptolemy cluster algebra, we present a formula for the expansion of an arbitrary cluster variable in terms of the cluster v

Kanokkuan Chaicherdsakul

This paper extends the calculation of quantum corrections to the cosmological correlation $<ζζ>$, which has been done by Weinberg for a loop of minimally coupled scalars, to other types of matter loops and a general and realistic potential. It is shown here that departures from scale invariance are never large even when Dirac, vector, and conformal scalar fi

Jochen Bruening, Vladimir Geyler, Konstantin Pankrashkin

We give a self-contained presentation of the theory of self-adjoint extensions using the technique of boundary triples. A description of the spectra of self-adjoint extensions in terms of the corresponding Krein maps (Weyl functions) is given. Applications include quantum graphs, point interactions, hybrid spaces, singular perturbations.

E. V. Tkalya

We propose a model for description of the process of Nuclear Excitation by Electron Transition (NEET) near the $K$-shell ionization threshold of an atom. We explain the experimental results for the $^{197}$Au cross section excitation $σ_{N^*}$ obtained by S.Kishimoto et al. Phys. Rev. C {\bf 74}, 031301(R) (2006) using synchrotron radiation near the Au $K$-e

Sacha Davidson, Gino Isidori, Alessandro Strumia

We consider models where one Majorana neutrino is massless at tree level (like the see saw with two right-handed neutrinos), and compute the contribution to its mass m generated by two-loop quantum corrections. The result is m \sim 10^{-13}eV in the SM and m \sim 10^{-10} eV (tanBeta/10)^4 in the MSSM, compatible with the restricted range suggested by Afflec

Alessandro Mossa, Cecilia Clementi

The recently discovered supersymmetric generalizations of Langevin dynamics and Kramers equation can be utilized for the exploration of free energy landscapes of systems whose large time-scale separation hampers the usefulness of standard molecular dynamics techniques. The first realistic application is here presented. The system chosen is a minimalist model

Reijo Keskitalo, Hannu Kurki-Suonio, Vesa Muhonen, Jussi Valiviita

The improved data on the cosmic microwave background (CMB) anisotropy allow a better determination of the adiabaticity of the primordial perturbation. Interestingly, we find that recent CMB data seem to favor a contribution of a primordial isocurvature mode where the entropy perturbation is positively correlated with the primordial curvature perturbation and

Francesco Giacosa

A chiral invariant Lagrangian describing the tetraquark-quarkonia interaction is considered at the leading and subleading order in the large-$N_{c}$ expansion. Spontaneous chiral symmetry breaking generates mixing of scalar tetraquark and quarkonia states and non-vanishing tetraquark condensates. In particular, the mixing strength is related to the decay str

Hari K. Kunduri, James Lucietti, Harvey S. Reall

We determine the most general near-horizon geometry of a supersymmetric, asymptotically anti-de Sitter, black hole solution of five-dimensional minimal gauged supergravity that admits two rotational symmetries. The near-horizon geometry is that of the supersymmetric, topologically spherical, black hole solution of Chong et al. This proves that regular supers

Douglas C. Heggie, Piet Hut, Shin Mineshige, Jun Makino

(Simplified) We present a theoretical framework which establishes how the core radius of a star cluster varies with the mass of an assumed central black hole. Our result is that the ratio of core to half-mass radius varies as the 3/4 power of the ratio of the black hole to cluster mass, when the system is well relaxed. The theory compares favourably with a n

Olaf Hohm

We analyze the symmetries that are realized on the massive Kaluza-Klein modes in generic D-dimensional backgrounds with three non-compact directions. For this we construct the unbroken phase given by the decompactification limit, in which the higher Kaluza-Klein modes are massless. The latter admits an infinite-dimensional extension of the three-dimensional

Michele Della Morte, Patrick Fritzsch, Jochen Heitger

We perform the non-perturbative renormalization of matrix elements of the static-light axial current by a computation of its scale dependence in lattice QCD with two flavours of massless O(a) improved Wilson quarks. The regularization independent factor that relates any running renormalized matrix element of the axial current in the static effective theory t

Martin Lemoine, Jerome Martin

We build a realistic model of curvaton cosmology, in which the energy content is described by radiation, WIMP dark matter and a curvaton component. We calculate the curvature and isocurvature perturbations, allowing for arbitrary initial density perturbations in all fluids, following all species and their perturbations from the onset of dark matter freeze-ou

Joshua Pepper, Richard Pogge, D. L. DePoy, J. L. Marshall

The Kilodegree Extremely Little Telescope (KELT) project is a small-aperture transit survey of bright stars. The project has completed commissioning runs searching for transits in the Hyades and Praesepe, and is well into a multi-year survey of a large portion of the Northern Hemisphere. Here we describe the setup of the telescope and discuss the early data.

Luca Grisa

We study intersecting D-brane models, that describe at low energies a two dimensional chiral fermion theory localized at the intersection. The fermions are coupled to gauge fields in the bulk. The resulting low energy theory is equivalent to the Gross-Neveu model with dynamical chiral symmetry breaking. No Nambu-Goldstone boson associated with spontaneously

Bertrand Eynard

This article is a short review on the relationship between convergent matrix integrals, formal matrix integrals, and combinatorics of maps. We briefly summarize results developed over the last 30 years, as well as more recent discoveries. We recall that formal matrix integrals are identical to combinatorial generating functions for maps, and that formal matr

Jean-François Delmas, Benjamin Jourdain

The Metropolis Hastings algorithm and its multi-proposal extensions are aimed at the computation of the expectation $<π,f>$ of a function $f$ under a probability measure $π$ difficult to simulate. They consist in constructing by an appropriate acceptation/rejection procedure a Markov chain $(X_k,k\geq 0)$ with transition matrix $P$ such that $π$ is reversibl

Laura Andrianopoli, Riccardo D&#39;Auria, Sergio Ferrara, Mario Trigiante

We present the main features of the physics of extremal black holes embedded in supersymmetric theories of gravitation, with a detailed analysis of the attractor mechanism for BPS and non-BPS black-hole solutions in four dimensions.

Eric D. Chisolm

I briefly review the &#39;&#39;decohering histories&#39;&#39; or &#39;&#39;consistent histories&#39;&#39; formulation of quantum theory, due to Griffiths, Omnes, and Gell-Mann and Hartle (and the subject of my graduate work with George Sudarshan). I also sift through the many meanings that have been attached to decohering histories, with an emphasis on the m

Elias Kiritsis, Francesco Nitti

We investigate the conditions for obtaining four-dimensional massless spin-2 states in the spectrum of fluctuations around an asymptotically $AdS_5$ solution of Einstein-Dilaton gravity. We find it is only possible to have normalizable massless spin-2 modes if the space-time terminates at some IR point in the extra dimension, far from the UV AdS boundary, an

Tamas Matolcsi, Mate Matolcsi

The Global Positioning System (GPS) provides an excellent educational example as to how the theory of general relativity is put into practice and becomes part of our everyday life. This paper gives a short and instructive derivation of an important formula used in the GPS, and is aimed at graduate students and general physicists. The theoretical background o

Robert Lipshitz, Ciprian Manolescu, Jiajun Wang

In a previous paper, Sarkar and the third author gave a combinatorial description of the hat version of Heegaard Floer homology for three-manifolds. Given a cobordism between two connected three-manifolds, there is an induced map between their Heegaard Floer homologies. Assume that the first homology group of each boundary component surjects onto the first h

Dimitris Kalles, Athanassios Papagelis

When genetic algorithms are used to evolve decision trees, key tree quality parameters can be recursively computed and re-used across generations of partially similar decision trees. Simply storing instance indices at leaves is enough for fitness to be piecewise computed in a lossless fashion. We show the derivation of the (substantial) expected speed-up on

D. Ebert, K. G. Klimenko

Diquark excitations of dense quark matter are considered in the framework of the Nambu -- Jona-Lasinio model with three types of massless quarks in the presense of a quark number chemical potential $μ$. We investigate the effective action of meson- and diquark fields at sufficiently high values of $μ$, where the color--flavor locked (CFL) phase is realized,

Fabio Mezzacapo, Massimo Boninsegni

We present results of a theoretical study of para-hydrogen and ortho-deuterium clusters at low temperature (0.5 K < T < 3.5 K), based on Path Integral Monte Carlo simulations. Clusters of size up to N=21 para-hydrogen molecules are nearly entirely superfluid at T < 1 K. For 21 < N < 30, the superfluid response displays strong variations with N, reflecting st

Antonio Montes, Montserrat Manubens

This is the continuation of Montes&#39; paper &#34;On the canonical discussion of polynomial systems with parameters&#34;. In this paper we define the Minimal Canonical Comprehensive Groebner System (MCCGS) of a parametric ideal and fix under which hypothesis it exists and is computable. An algorithm to obtain a canonical description of the segments of the M

Meinolf Geck

Let $\cH$ be the one-parameter Hecke algebra associated to a finite Weyl group $W$, defined over a ground ring in which ``bad&#39;&#39; primes for $W$ are invertible. Using deep properties of the Kazhdan--Lusztig basis of $\cH$ and Lusztig&#39;s $\ba$-function, we show that $\cH$ has a natural cellular structure in the sense of Graham and Lehrer. Thus, we ob

H. -W. Hammer, Timo A. Lahde, L. Platter

Few-body systems with large scattering length a have universal properties that do not depend on the details of their interactions at short distances. The rate constant for three-body recombination of bosonic atoms of mass m into a shallow dimer scales as \hbar a^4/m times a log-periodic function of the scattering length. We calculate the leading and subleadi

S. Deser, M. Henneaux

We reconsider the consistency constraints on a free massless symmetric, rank 2, tensor field in a background and confirm that they uniquely require it to be the linear deviation about (cosmological) Einstein gravity. Neither adding non-minimal higher derivative terms nor changing the gauge transformations by allowing terms non-analytic in the cosmological co

Michael Baker, Françoise Détienne, Kristine Lundt, Arnauld Séjourné

In this paper, we propose an analytical framework that aims to bring out the nature of participants&#39; contributions to co-design meetings, in a way that synthesises content and function dimensions, together with the dimension of dialogicality. We term the resulting global vision of contribution, the &#34;interactive profile&#34;.

H. C. Eggers, P. Lipa

Taking up and extending earlier suggestions, we show how two- and threedimensional shapes of second-order HBT correlations can be described in a multivariate Edgeworth expansion around gaussian ellipsoids, with expansion coefficients, identified as the cumulants of pair momentum difference q, acting as shape parameters. Off-diagonal terms dominate both the c

P. Selvelli, J. Danziger, P. Bonifacio

A new measure of reddening (E$_{(B-V)}$$\sim$0.00) has been obtained from the comparison between the observed and the theoretical intensity decrement for 20 emission lines of the $\ion{He}{ii}$ Fowler (n$\to$3) series. This value has been confirmed by the STIS and IUE continuum distribution, and by the value of n$_H$ from the damped profile of the IS H Ly-$α

Andreas Henrici, Thomas Kappeler

In this paper we prove that near the equilibirum position any periodic FPU chain with an odd number of particles admits a Birkhoff normal form up to order 4, and we obtain an explicit formula of the Hessian of its Hamiltonian at the fixed point.

J. Dajka, S. Rogozinski, L. Machura, J. Łuczka

We consider mesoscopic non-superconducting rings with an effective capacitance. We propose a Hamiltonian model describing magnetic flux in such rings. Next we incorporate dissipation and thermal fluctuations into our kinetic model. We consider kinetics in limiting regimes of strong and weak coupling to thermal bath.

Alexander Westphal

We present a new way to construct de Sitter vacua in type IIB flux compactifications, in which the interplay of the leading perturbative and non-perturbative effects stabilize all moduli in dS vacua at parametrically large volume. Here, the closed string fluxes fix the dilaton and the complex structure moduli while the universal leading perturbative quantum

A. Friedrich, A. K. Kolezhuk, I. P. McCulloch, U. Schollwock

We use the dynamical density matrix renormalization group technique to show that the high-energy part of the spectrum of a S=1 Haldane chain, placed in a strong external magnetic field $H$ exceeding the Haldane gap $Δ$, contains edge singularities, similar to those known to exist in the low-energy spectral response. It is demonstrated that in the frequency r

Kai-Uwe Schmidt

A constant-amplitude code is a code that reduces the peak-to-average power ratio (PAPR) in multicode code-division multiple access (MC-CDMA) systems to the favorable value 1. In this paper quaternary constant-amplitude codes (codes over Z_4) of length 2^m with error-correction capabilities are studied. These codes exist for every positive integer m, while bi

Sebastian de Haro, Atle Hahn

We generalize several results on Chern-Simons models on Sigma x S1 in the so-called &#34;torus gauge&#34; which were obtained in arXiv:math-ph/0507040 to the case of general (simply-connected simple compact) structure groups and general link colorings. In particular, we give a non-perturbative evaluation of the Wilson loop observables corresponding to a spec

Kai-Uwe Schmidt

The peak-to-mean envelope power ratio (PMEPR) of a code employed in orthogonal frequency-division multiplexing (OFDM) systems can be reduced by permuting its coordinates and by rotating each coordinate by a fixed phase shift. Motivated by some previous designs of phase shifts using suboptimal methods, the following question is considered in this paper. For a

Xiaoqing Yue, Yucai Su

Let L be the Lie algebra of Block type over a field F of characteristic zero, defined with basis {L_{i,j} | i,j\in Z} and relations [L_{i,j},L_{k,l}]=((j+1)k-(l+1)i)L_{i+k,j+l}. Then L is Z^2-graded. In this paper, Z^2-graded L-modules of the intermediate series are classified.

André Ferrari

We derive an analytical solution to the computation of the output of a Lyot coronagraph for a given complex amplitude on the pupil plane. This solution, which does not require any simplifying assumption, relies on an expansion of the entrance complex amplitude on a Zernike base. According to this framework, the main contribution of the paper is the expressio

Giulia Ricciardi

A dynamical approach to semi-inclusive decays based on an effective running coupling for the strong interactions is described.

Rahul Marathe, A. M. Jayannavar, Abhishek Dhar

Motivated by recent studies on models of particle and heat quantum pumps, we study similar simple classical models and examine the possibility of heat pumping. Unlike many of the usual ratchet models of molecular engines, the models we study do not have particle transport. We consider a two-spin system and a coupled oscillator system which exchange heat with

Ingo Piepers

The assumption that complex systems function optimally at the edge of chaos seems applicable to the international system as well. In this paper I argue that the normal chaotic war dynamic of the European international system (1495-1945) was temporarily (1657-1763) interrupted by a more simplified dynamic, resulting in more intense Great Power wars and in a d

Françoise Détienne, Jean-Marie Burkhardt, Willemien Visser

Empirical software engineering is concerned with measuring, or estimating, both the effort put into the software process and the quality of its product. We defend the idea that measuring process effort and product quality and establishing a relation between the two cannot be performed without a model of cognitive and collective activities involved in softwar

Andreas Cap, A. Rod Gover

We develop the natural tractor calculi associated to conformal and CR structures as a fundamental tool for the study of Fefferman&#39;s construction of a canonical conformal class on the total space of a circle bundle over a non--degenerate CR manifold of hypersurface type. In particular we construct and treat the basic objects that relate the natural bundle

Hisato Eguchi, Yuji Koike, Kazuhiro Tanaka

Establishing the twist-3 formalsim for the single transverse spin asymmetry, we present a complete single-spin-dependent cross section for SIDIS, $ep^\uparrow\to eπX$, associated with the twist-3 distribution for the transversely polarized nucleon. We emphasize that the consistency condition from the Ward identities for color gauge invariance is crucial to p

Karl Schlechta

We try a conceptual analysis of inheritance diagrams, first in abstract terms, and then compare to &#34;normality&#34; and the &#34;small/big sets&#34; of preferential and related reasoning. The main ideas are about nodes as truth values and information sources, truth comparison by paths, accessibility or relevance of information by paths, relative normality

Matthew Moulson

Numerous recent measurements of kaon decays are described, with an emphasis on results offering constraints on chiral perturbation theory calculations. An up-to-date estimate of |Vus|f+(0) based on semileptonic kaon decay rates is presented.

Zhan-jun Zhang

We propose a protocol ${\cal D}_n$ for faithfully teleporting an arbitrary $n$-qudit state with the tensor product state (TPS) of $n$ generalized Bell states (GBSs) as the quantum channel. We also put forward explicit protocol ${\cal D}&#39;_n$ and ${\cal D}&#39;&#39;_n$ for faithfully teleporting an arbitrary $n$-qudit state with two classes of $2n$-qudit G

Han-Ying Guo

If our universe is asymptotic to a de Sitter space, it should be closed with curvature in $O(Λ)$ in view of dS special relativity. Conversely, its evolution can fix on Beltrami systems of inertia in the dS-space without Einstein&#39;s `argument in a circle&#39;. Gravity should be local dS-invariant based on localization of the principle of inertia.

Lachezar S. Georgiev

We review the topological quantum computation scheme of Das Sarma et al. from the perspective of the conformal field theory for the two-dimensional critical Ising model. This scheme originally used the monodromy properties of the non-Abelian excitations in the Pfaffian quantum Hall state to construct elementary qubits and execute logical NOT on them. We exte

R. M. Yulmetyev, P. Hänggi, D. G. Yulmetyeva, S. Shimojo

To analyze the crucial role of fluctuation and relaxation effects for the function of the human brain we studied some statistical quantifiers that support the information characteristics of neuromagnetic brain responses (magnetoencephalogram, MEG). The signals to a flickering stimulus of different color combinations have been obtained from a group of control

Davoud Kamani

In this manuscript we study the cosmological constant of a $(p+1)$-dimensional world, which lives in the higher dimensional bulk space. We assume the extra dimensions are compact on tori. We consider two cases: positive and negative bulk cosmological constant. It is pointed out that the tiny cosmological constant of our world can be obtained by the dynamics

N. D. Hari Dass, Manu Mathur

We explicitly construct and characterize all possible independent loop states in 3+1 dimensional loop quantum gravity by regulating it on a 3-d regular lattice in the Hamiltonian formalism. These loop states, characterized by the (dual) angular momentum quantum numbers, describe SU(2) rigid rotators on the links of the lattice. The loop states are constructe

Louis E. Strigari, Savvas M. Koushiappas, James S. Bullock, Manoj Kaplinghat

We examine the prospects for detecting gamma-rays from dark matter annihilation in the six most promising dwarf spheroidal (dSph) satellite galaxies of the Milky Way. We use recently-measured velocity dispersion profiles to provide a systematic investigation of the dark matter mass distribution of each galaxy, and show that the uncertainty in the gamma-ray f

Tohru Eguchi, Yuji Sugawara, Anne Taormina

When we describe non-compact or singular Calabi-Yau manifolds by CFT, continuous as well as discrete representations appear in the theory. These representations mix in an intricate way under the modular transformations. In this article, we propose a method of combining discrete and continuous representations so that the resulting combinations have a simpler

Yungui Gong, Bin Wang, Anzhong Wang

We have investigated the thermodynamical properties of dark energy. Assuming that the dark energy temperature $T\sim a^{-n}$ and considering that the volume of the Universe enveloped by the apparent horizon relates to the temperature, we have derived the dark energy entropy. For dark energy with constant equation of state $w>-1$ and the generalized Chaplygin

Christine A. Kelley, Deepak Sridhara, Joachim Rosenthal

The performance of codes defined from graphs depends on the expansion property of the underlying graph in a crucial way. Graph products, such as the zig-zag product and replacement product provide new infinite families of constant degree expander graphs. The paper investigates the use of zig-zag and replacement product graphs for the construction of codes on

Derek K. Wise

The geometric content of the MacDowell-Mansouri formulation of general relativity is best understood in terms of Cartan geometry. In particular, Cartan geometry gives clear geometric meaning to the MacDowell-Mansouri trick of combining the Levi-Civita connection and coframe field, or soldering form, into a single physical field. The Cartan perspective allows

Mei Xiaochun

Based on the Schwarzschild solution of the Einstein equation of gravitational field, it is proved that the speed of light speed would change and isotropy of light speed would be violated in gravitational field with spherical symmetry. On the surface of the earth, the speed of light vertical to the surface is 0.2m/s less than that parallel to the surface. It

Jeffrey C. Morton

Interest in weak cubical n-categories arises in various contexts, in particular in topological field theories. In this paper, we describe a concept of double bicategory, namely a strict model of the theory of bicategories in Bicat. We show that in a special case one can reduce this to what we call a Verity double bicategory, after Domenic Verity. This is a w

B. Andrei Bernevig, Han-Dong Chen

This paper has been withdrawn.

Andrew N. Norris

It is fairly well known that rotation in three dimensions can be expressed as a quadratic in a skew symmetric matrix via the Euler-Rodrigues formula. A generalized Euler-Rodrigues polynomial of degree 2n in a skew symmetric generating matrix is derived for the rotation matrix of tensors of order $n$. The Euler-Rodrigues formula for rigid body rotation is rec

Liang-Kai Wu, Xiang-Qian Luo, He-Sheng Chen

We present results for phase structure of lattice QCD with two degenerate flavors ($N_f=2$) of Wilson quarks at finite temperature $T$ and small baryon chemical potential $μ_B$. Using the imaginary chemical potential for which the fermion determinant is positive, we perform simulations at points where the ratios of pseudo-scalar meson mass to the vector meso

Rahul Malhotra

Recently several Higgsless models of electroweak symmetry breaking have been proposed in which unitarity of $W,Z$ scattering amplitudes is partially restored through a tower of massive vector gauge bosons. These massive states are expected to couple mainly to $W$ and $Z$ and should appear as resonances in $WW$ and $WZ$ fusion at the CERN Large Hadron Collide

A. Rau, R. Schwarz, S. R. Kulkarni, E. O. Ofek

Understanding and quantifying the contribution of known classes of transient and variable sources is an important lesson to be learned from the manifold of pre-cursors programs of the near-future large synoptic sky survey programs like SkyMapper, Pan-STARRS and LSST. With this goal in mind, we undertook photometric and spectroscopic follow-up observations of

M. R. Kibler

We briefly describe in this paper the passage from Mendeleev&#39;s chemistry (1869) to atomic physics (in the 1900&#39;s), nuclear physics (in the 1932&#39;s) and particle physics (from 1953 to 2006). We show how the consideration of symmetries, largely used in physics since the end of the 1920&#39;s, gave rise to a new format of the periodic table in the 19

Ruy Exel

A semigroupoid is a set equipped with a partially defined associative operation. Given a semigroupoid Λwe construct a C*-algebra C*(Λ) from it. We then present two main examples of semigroupoids, namely the Markov semigroupoid associated to an infinite 0-1 matrix, and the semigroupoid associated to a row-finite higher-rank graph without sources. In both case

Mitsuru Honda, Yasuko S. Honda

We propose a modified version of the X-ray spectral index and an intrinsic cutoff frequency of inverse Compton radiation from the brightest knot of the M87 jet, in conjunction with an application of the new conceptions of injection and diffusive shock acceleration (DSA) of electrons in magnetized filamentary plasma to the specified source. The drop of the X-

J. Hernandez-Sanchez, C. G. Honorato, F. Procopio, G. Tavares-Velasco

In the framework of the electroweak chiral Lagrangian, the one-loop induced effects of the anomalous $tbW$ coupling, which includes both left- and right-handed complex components, on the static electromagnetic properties of the $W$ boson and the $t$ quark are studied. The attention is focused mainly on the CP-violating electromagnetic properties. It is found

Ben W. Reichardt

A quantum computer -- i.e., a computer capable of manipulating data in quantum superposition -- would find applications including factoring, quantum simulation and tests of basic quantum theory. Since quantum superpositions are fragile, the major hurdle in building such a computer is overcoming noise. Developed over the last couple of years, new schemes for

D. J. Bohm, P. G. Davies, B. J. Hiley

We discuss the relation between the q-number approach to quantum mechanics suggested by Dirac and the notion of "pregeometry" introduced by Wheeler. By associating the q-numbers with the elements of an algebra and regarding the primitive idempotents as "generalized points" we suggest an approach that may make it possible to dispense with an a priori given sp

Howard Barnum, Jonathan Barrett, Matthew Leifer, Alexander Wilce

We prove generic versions of the no-cloning and no-broadcasting theorems, applicable to essentially {\em any} non-classical finite-dimensional probabilistic model that satisfies a no-signaling criterion. This includes quantum theory as well as models supporting ``super-quantum&#39;&#39; correlations that violate the Bell inequalities to a larger extent than

Stefan Heinrich

We use entropy numbers in combination with the polynomial method to derive a new general lower bound for the n-th minimal error in the quantum setting of information-based complexity. As an application, we improve some lower bounds on quantum approximation of embeddings between finite dimensional L_p spaces and of Sobolev embeddings.