On Yang-Mills Stability Bounds and Plaquette Field Generating FunctionWe consider the Yang-Mills (YM) QFT with group U(N). We take a finite lattice regularization ⊂ a Zd, d = 2,3,4, with a∈ (0,1] and L (even) sites on a side. Each bond…Paulo A. Faria da Veiga, Michael O'Carroll·May 15, 2022SaveLearn
Adjoint-based optimization of two-dimensional Stefan problemsA range of optimization cases of two-dimensional Stefan problems, solved using a tracking-type cost-functional, is presented. A level set method is used to capture the interface between the liquid…Tomas Fullana, Vincent Le Chenadec, Taraneh Sayadi·May 15, 2022SaveLearn
Random matrix theory and moments of moments of L-functionsWe give an analytic proof of the asymptotic behaviour of the moments of moments of the characteristic polynomials of random symplectic and orthogonal matrices. We therefore obtain alternate, integral…J. C. Andrade, C. G. Best·May 15, 2022SaveLearn
Irreducible representations of Z22-graded N =2 supersymmetry algebra and Z22-graded supermechanicsIrreducible representations (irreps) of Z22-graded supersymmetry algebra of N=2 are obtained by the method of induced representation and they are used to derive…N. Aizawa, S. Doi·May 15, 2022SaveLearn
Good geodesics satisfying the timelike curvature-dimension conditionLet (M,d,m,,≤,τ) be a causally closed, K-globally hyperbolic, regular measured Lorentzian geodesic space satisfying the weak timelike curvature-dimension…Mathias Braun·May 14, 2022SaveLearn
Virial Expansions for Correlation Functions in Canonical EnsembleThe infinite set of coupled integral nonlinear equations for correlation functions in the case of classical canonical ensemble is considered. Some kind of graph expansions of correlation functions in…A. L. Rebenko·May 14, 2022SaveLearn
Dynamical maps and symmetroidsStarting from the canonical symmetroid S(G) associated with a groupoid G, the issue of describing dynamical maps in the groupoidal approach to Quantum Mechanics is addressed. After…Florio M. Ciaglia, Fabio Di Cosmo, Alberto Ibort et al.·May 13, 2022SaveLearn
On generalization of Lipschitz groups and spin groupsThis paper presents some new Lie groups preserving fixed subspaces of geometric algebras (or Clifford algebras) under the twisted adjoint representation. We consider the cases of subspaces of fixed…E. R. Filimoshina, D. S. Shirokov·May 12, 2022SaveLearn
p-Adic quantum calculus and ideals of compact operatorsThe paper proposes a construction of a quantum differentiation operator defined on the spaces of complex-valued functions of p-adic argument, and taking values in the algebra of bounded operators…Evgeny I. Zelenov·May 12, 2022SaveLearn
Average capacity of quantum entanglementAs an alternative to entanglement entropies, the capacity of entanglement becomes a promising candidate to probe and estimate the degree of entanglement of quantum bipartite systems. In this work, we…Lu Wei·May 12, 2022SaveLearn
Linear transformations of Srivastava's HC triple hypergeometric functionWe explore the large set of linear transformations of Srivastava's HC triple hypergeometric function. This function has been recently linked to the massive one-loop conformal scalar 3-point…S. Friot, G. Suchet-Bernard·May 12, 2022SaveLearn
Uniform estimates for oscillatory integrals with homogeneous polynomial phases of degree 4In this paper we consider the uniform estimates for oscillatory integrals with a two-order homogeneous polynomial phase. The estimate is sharp and the result is an analogue of the more general…M. Ruzhansky, A. R. Safarov, G. A. Khasanov·May 12, 2022SaveLearn
Sum rules for Clebsch-Gordan coefficients from group theory and Runge-Lenz-Pauli vectorWe present sum rules for Clebsch-Gordan coefficients in the framework of SO(4) group-theoretical description of the hydrogen atom. The main results are obtained using properties of the Runge-Lenz-…Jean-Christophe Pain·May 12, 2022SaveLearn
Calabi-Yau/Landau-Ginzburg Correspondence for Weil-Peterson Metrics and tt* StructuresThe aim of this paper is to rigorously establish the Calabi-Yau/Landau-Ginzburg (CY/LG) correspondence for the tt* geometry structure--a generalized version of variation of Hodge structures.…Xinxing Tang, Junrong Yan·May 11, 2022SaveLearn
Finite size corrections relating to distributions of the length of longest increasing subsequencesConsidered are the large N, or large intensity, forms of the distribution of the length of the longest increasing subsequences for various models. Earlier work has established that after centring…Peter J. Forrester, Anthony Mays·May 11, 2022SaveLearn
Mathematical theory for electromagnetic scattering resonances and field enhancement in a subwavelength annular gapThis work presents a mathematical theory for electromagnetic scattering resonances in a subwavelength annular hole embedded in a metallic slab, with the annulus width h1. The model is…Junshan Lin, Wangtao Lu, Hai Zhang·May 11, 2022SaveLearn
A fully noncommutative analog of the Painlev\'e IV equation and a structure of its solutionsWe study a fully noncommutative generalisation of the commutative fourth Painlev\'e equation that possesses solutions in terms of an infinite Toda system over an associative unital division ring…Irina Bobrova, Vladimir Retakh, Vladimir Rubtsov et al.·May 10, 2022SaveLearn
Bound states in soft quantum layersWe develop a general approach to study three-dimensional Schroedinger operators with confining potentials depending on the distance to a surface. The main idea is to apply parallel coordinates based…David Krejcirik, Jan Kriz·May 10, 2022SaveLearn
Notes on Spinors and Polyforms II: Quaternions and OctonionsPauli matrices are 2x2 tracefree matrices with a real diagonal and complex (complex-conjugate) off-diagonal entries. They generate the Clifford algebra Cl(3). They can be generalised by replacing the…Niren Bhoja, Kirill Krasnov·May 10, 2022SaveLearn
Non-self-adjoint relativistic point interaction in one dimensionThe one-dimensional Dirac operator with a singular interaction term which is formally given by A|δ0δ0|, where A is an arbitrary 2× 2 matrix and δ0 stands for the…Lukáš Heriban, Matěj Tušek·May 10, 2022SaveLearn
Notes on Spinors and Polyforms I: General CaseIt is well-known that the Clifford algebra Cl(2n) can be given a description in terms of creation/annihilation operators acting in the space of inhomogeneous differential forms on Cn. We refer to…Niren Bhoja, Kirill Krasnov·May 10, 2022SaveLearn
Small denominators and large numerators of quasiperiodic Schrödinger operatorsWe initiate an approach to simultaneously treat numerators and denominators of Green's functions arising from quasi-periodic Schrödinger operators, which in particular allows us to study…Wencai Liu·May 10, 2022SaveLearn
A mixed-norm estimate of the two-particle reduced density matrix of many-body Schr\"odinger dynamics for deriving the Vlasov equationWe re-examine the combined semi-classical and mean-field limit in the N-body fermionic Schr\"odinger equation with pure state initial data using the Husimi measure framework. The Husimi measure…Li Chen, Jinyeop Lee, Yue Li et al.·May 9, 2022SaveLearn
On the characteristic polynomial of the eigenvalue moduli of random normal matricesWe study the characteristic polynomial pn(x)=Πj=1n(|zj|-x) where the zj are drawn from the Mittag-Leffler ensemble, i.e. a two-dimensional determinantal point process which…Sung-Soo Byun, Christophe Charlier·May 9, 2022SaveLearn
Quadratic symmetry algebras and spectrum of the 3D nondegenerate quantum superintegrable systemIn this paper, we present the quadratic associative symmetry algebra of the 3D nondegenerate maximally quantum superintegrable system. This is the complete symmetry algebra of the system. It is…Mohasena Ahamed, Md Fazlul Hoque·May 9, 2022SaveLearn