Cutkosky's Theorem for Massive One-Loop Feynman Integrals -- Part 1We formulate and prove Cutkosky's Theorem regarding the discontinuity of Feynman integrals in the massive one-loop case up to the involved intersection index. This is done by applying the…Maximilian Mühlbauer·Jun 16, 2022SaveLearn
Six-dimensional supermultiplets from bundles on projective spacesThe projective variety of square-zero elements in the six-dimensional minimal supersymmetry algebra is isomorphic to P1 × P3. We use this fact, together with the pure…Fabian Hahner, Simone Noja, Ingmar Saberi et al.·Jun 16, 2022SaveLearn
Macroscopic loops in the 3d double-dimer modelThe double dimer model is defined as the superposition of two independent uniformly distributed dimer covers of a graph. Its configurations can be viewed as disjoint collections of self-avoiding…Alexandra Quitmann, Lorenzo Taggi·Jun 16, 2022SaveLearn
Algebraic Properties of Riemannian ManifoldsAlgebraic properties are explored for the curvature tensors of Riemannian manifolds, using the irreducible decomposition of curvature tensors. Our method provides a powerful tool to analyze the…Youngjoo Chung, Chi-Ok Hwang, Hyun Seok Yang·Jun 16, 2022SaveLearn
Very special special functions: Chebyshev polynomials of a discrete variable and their physical applicationsOver nearly six decades, the Chebyshev polynomials of a discrete real variable have found applications in spin physics, spin tomography, in the development of operator expansions, and in defining…David J. Siminovitch·Jun 16, 2022SaveLearn
The Hierarchical Graphene modelThe hierarchical graphene model is a simple toy model which is useful to understand the mechanics of renormalization group flows in super-renormalizable systems. It is based on a model of interacting…Ian Jauslin·Jun 16, 2022SaveLearn
Topological insulators in semiclassical regimeWe study solutions of 2 × 2 systems (h Dt + D) Ψt = 0 on R2 in the semiclassical regime h → 0. Our Dirac operator D is a standard model for…Alexis Drouot·Jun 16, 2022SaveLearn
Harmonic analysis in operator algebras and its applications to index theory and topological solid state systemsThis monograph develops the theory of Besov spaces for abelian group actions on semifinite von Neumann algebras and then proves Peller criteria for traceclass properties of associated Hankel…Hermann Schulz-Baldes, Tom Stoiber·Jun 15, 2022SaveLearn
Wave function asymptotics for scattering of three-particles with Coulomb interactionThe coordinate asymptotics of the wave function for the problem of scattering of three particles with Coulomb interaction is constructed. Representation of hyperspherical functions is used to reduce…S. L. Yakovlev·Jun 15, 2022SaveLearn
Comment on "Nonperturbative Calculation of Born-Infeld Effects on the Schrodinger Spectrum of the Hydrogen Atom" [Phys. Rev. Lett. 96 (2006) 030402, arXiv:math-ph/0506069]It is shown that the solution for the electrostatic potential used in [Phys. Rev. Lett. 96 (2006) 030402, arXiv:math-ph/0506069] is not correct and therefore cannot provide a more accurate spectrum…Mikhail N. Smolyakov·Jun 15, 2022SaveLearn
Particle models from special Jordan backgrounds and spectral triplesWe put forward a definition for spectral triples and algebraic backgrounds based on Jordan coordinate algebras. We also propose natural and gauge-invariant bosonic configuration spaces of fluctuated…Fabien Besnard, Shane Farnsworth·Jun 14, 2022SaveLearn
Strict monotonicity, continuity and bounds on the Kertész line for the random-cluster model on ZdIsing and Potts models can be studied using the Fortuin-Kasteleyn representation through the Edwards-Sokal coupling. This adapts to the setting where the models are exposed to an external field of…Ulrik Thinggaard Hansen, Frederik Ravn Klausen·Jun 14, 2022SaveLearn
A Kustaanheimo-Stiefel regularization of the elliptic restricted three-body problem and the detection of close encounters with fast Lyapunov indicatorsWe present the Kustaanheimo-Stiefel (KS) regularization of the elliptic restricted three-body problem (ER3BP) at the secondary body P2, and discuss its use to study a category of transits through…Mattia Rossi, Massimiliano Guzzo·Jun 14, 2022SaveLearn
Decimations for One- and Two-dimensional Ising and Rotator Models II: Continuous versus Discrete SymmetriesWe show how decimated Gibbs measures which have an unbroken continuous symmetry due to the Mermin-Wagner theorem, although their discrete equivalents have a phase transition, still can become…Matteo D'Achille, Arnaud Le Ny, Aernout C. D. van Enter·Jun 14, 2022SaveLearn
Laplace-Beltrami operator on the orthogonal group in Cartesian coordinatesUsing the embedded gradient vector field method (see P. Birtea, D. Comanescu, Hessian operators on constraint manifolds, J. Nonlinear Science 25, 2015), we present a general formula for the…Petre Birtea, Ioan Casu, Dan Comanescu·Jun 14, 2022SaveLearn
Reconstruction of smooth shape defects in waveguides using locally resonant frequenciesThis article aims to present a new method to reconstruct slowly varying width defects in 2D waveguides using locally resonant frequencies. At these frequencies, locally resonant modes propagate in…Angèle Niclas, Laurent Seppecher·Jun 13, 2022SaveLearn
Besov Wavefront SetWe develop a notion of wavefront set aimed at characterizing in Fourier space the directions along which a distribution behaves or not as an element of a specific Besov space. Subsequently we prove…Claudio Dappiaggi, Paolo Rinaldi, Federico Sclavi·Jun 13, 2022SaveLearn
The singularity theorems of General Relativity and their low regularity extensionsOn the occasion of Sir Roger Penrose's 2020 Nobel Prize in Physics, we review the singularity theorems of General Relativity, as well as their recent extension to Lorentzian metrics of low…Roland Steinbauer·Jun 13, 2022SaveLearn
On the almost-circular symplectic induced Ginibre ensembleWe consider the symplectic induced Ginibre process, which is a Pfaffian point process on the plane. Let N be the number of points. We focus on the almost-circular regime where most of the points…Sung-Soo Byun, Christophe Charlier·Jun 13, 2022SaveLearn
Multinomial probability distribution and quantum deformed algebrasThe multinomial coefficient and their recurrence relations from the generalized quantum deformed algebras are examined. Moreover, the R(p,q)- deformed multinomial probability distribution…Fridolin Melong·Jun 13, 2022SaveLearn
Charged Particle Motion in Spherically Symmetric Distributions of Magnetic MonopolesThe classical equations of motion of a charged particle in a spherically symmetric distribution of magnetic monopoles can be transformed into a system of linear equations, thereby providing a type of…Robert Littlejohn, Philip Morrison, Jeffrey Heninger·Jun 12, 2022SaveLearn
Mathematical models of topologically protected transport in twisted bilayer grapheneTwisted bilayer graphene gives rise to large moir\'e patterns that form a triangular network upon mechanical relaxation. If gating is included, each triangular region has gapped electronic Dirac…Guillaume Bal, Paul Cazeaux, Daniel Massatt et al.·Jun 11, 2022SaveLearn
Dynamical Localization for Random Band Matrices up to W N1/4We prove that a large class of N× N Gaussian random band matrices with band width W exhibits dynamical Anderson localization at all energies when W N1/4. The proof uses the…Giorgio Cipolloni, Ron Peled, Jeffrey Schenker et al.·Jun 11, 2022SaveLearn
An efficient geometric method for incompressible hydrodynamics on the sphereWe present an efficient and highly scalable geometric method for two-dimensional ideal fluid dynamics on the sphere. The starting point is Zeitlin's finite-dimensional model of hydrodynamics. The…Paolo Cifani, Milo Viviani, Klas Modin·Jun 11, 2022SaveLearn
The Malyuzhinets-Popov diffraction problem revisitedIn this paper, the high-frequency diffraction of a plane wave incident along a planar boundary turning into a smooth convex contour, so that the curvature undergoes a jump, is asymptotically…Ekaterina A. Zlobina, Aleksei P. Kiselev·Jun 11, 2022SaveLearn