Asymptotic correlation functions of Coulomb gases on an annulusTwo-dimensional Coulomb gases on an annulus at a special inverse temperature β = 2 are studied by using the orthogonal polynomial method borrowed from the theory of random matrices. The…Taro Nagao·Mar 27, 2026SaveLearn
Lieb-Robinson bounds for Bose-Hubbard Hamiltonians: A review with a simplified proofWe review recent progress on state-dependent Lieb--Robinson bounds for Bose--Hubbard Hamiltonians. In particular, Kuwahara, Vu, and Saito established that, for general bounded-density initial states,…Marius Lemm, Carla Rubiliani·Mar 27, 2026SaveLearn
Exponential decay of correlations at high temperature in H2|2n nonlinear sigma modelsWe consider a family of nonlinear sigma models on Zd whose target space is the hyperbolic super manifold H2|2n, n >1, introduced by Crawford as an extension of Zirnbauer's…Margherita Disertori, Javier Durán Fernández, Luca Fresta·Mar 27, 2026SaveLearn
A mathematical theory of topological invariants of quantum lattice systemsWe show that Hall conductance and its non-abelian and higher-dimensional analogs are obstructions to promoting a symmetry of a state to a gauge symmetry. To do this, we define a local Lie algebra…Adam Artymowicz, Anton Kapustin, Bowen Yang·Mar 27, 2026SaveLearn
The Hirota Identity for Hyperpfaffian τ-Functions in Charge-L EnsemblesWe study log-gas ensembles with inverse temperature β = L2 using a confluent Vandermonde representation that admits a formulation in the exterior algebra of a finite-dimensional vector space.…Christopher D. Sinclair·Mar 26, 2026SaveLearn
Critical curve of two-matrix models ABBA, A\B,A\B and ABAB, Part I: Monte CarloFor a family of two-matrix models \[ 12 Tr(A2+B2) - g4 Tr(A4+B4) - cases h2 Tr( A BA B) \\ h4…Carlos I. Pérez Sánchez·Mar 26, 2026SaveLearn
New convergence bound for the cluster expansion in canonical ensembleWe perform a cluster expansion in the canonical ensemble with periodic boundary conditions, introducing a new choice of polymer activities that differs from the standard ones. This choice leads to an…Giuseppe Scola·Mar 26, 2026SaveLearn
The Maxwell class exact solutions to the Schr\"odinger equation and continuum mechanics modelsBy applying the nonlinear Legendre transform to the continuity equation, this paper derives exact solutions to the Schr\"odinger equation and the equations of continuum mechanics. A generalized…E. E. Perepelkin, B. I. Sadovnikov, N. G. Inozemtseva et al.·Mar 26, 2026SaveLearn
Chern-Simons theory in mathematics, condensed matter theory and cosmologyVarious applications of Chern-Simons theory in algebraic topology, in particular knot theory, condensed matter physics and cosmology are reviewed. Special attention is paid to appearances of…Jürg Fröhlich·Mar 26, 2026SaveLearn
A Concentration of Measure Phenomenon in Lattice Yang-MillsWe demonstrate that the pushforward of the product of Haar measures by the lattice Yang-Mills action concentrates as a Gaussian. It is also sketched how, using this fact, one can recover the…Tamer Tlas·Mar 26, 2026SaveLearn
KdV integrability in GUE correlatorsOkounkov [36] proved a remarkable formula relating n-point GUE (Gaussian unitary ensemble) correlators of a fixed genus to Witten's intersection numbers of the same genus. The partition function of…Di Yang·Mar 26, 2026SaveLearn
The Dynamic Doppler Spectrum Induced by Nonlinear Sensor Motion: Relativistic Kinematics and 4D Frenet-Serret Spacetime GeometryFundamental to the analysis of nonlinear relativistic motion is the precise characterization of the induced dynamic Doppler effects. In this work, we analyze the electromagnetic signals observed by…Bryce M. Barclay, Alex Mahalov·Mar 25, 2026SaveLearn
Particle-Hole Pair Localization on the Fermi Surface and its Impact on the Correlation EnergyIn recent years it has been shown how approximate bosonization can be used to justify the random phase approximation for the correlation energy of interacting fermions in a mean-field scaling limit.…Niels Benedikter·Mar 25, 2026SaveLearn
Determinant Formulas for Scattering Matrices of Schr\"odinger Operators with Finitely Many Concentric δ-ShellsWe study stationary scattering for Schr\"odinger operators in R3 with finitely many concentric δ--shell interactions of constant real strengths. Starting from the self--adjoint…Masahiro Kaminaga·Mar 25, 2026SaveLearn
On symbol correspondences for quark systems II: AsymptoticsWe study the semiclassical asymptotics of twisted algebras induced by symbol correspondences for quark systems (SU(3)-symmetric mechanical systems) as defined in our previous paper [3]. The linear…P. A. S. Alcântara, P. de M. Rios·Mar 25, 2026SaveLearn
Factorized dispersion relations for two coupled systemsWe establish that the dispersion relations of any physical system composed of two coupled subsystems, governed by a space-time homogeneous Lagrangian, admit a factorized form G1G2=γ…Alexander Figotin·Mar 24, 2026SaveLearn
Spectral Structure of the Mixed Hessian of the Dispersionless Toda τ-FunctionWe study the mixed Hessian of the dispersionless Toda τ-function for the one-harmonic s-fold symmetric conformal map f(w)=rw+aw1-s. This Hessian is the susceptibility matrix generated by…Oleg Alekseev·Mar 24, 2026SaveLearn
Deformation quantization for systems with second-class constraints in deformed fermionic phase spaceIn order to quantize systems involving second-class constraints, one should use Dirac bracket instead of Poisson bracket. Furthermore, one can specify a star product in which the term linear in…Bing-Sheng Lin, Tai-Hua Heng·Mar 24, 2026SaveLearn
Interfacial instability as a trigger for dryout inception in two-phase CO2 flowProgress in particle physic leads to increasing in detector luminosity and a consequent increasing overheating induced by Joule effect. An effective cooling strategy is the exploitation of…G. Cantini, G. Arnone, F. Capone et al.·Mar 24, 2026SaveLearn
Dirac Operators, APS Boundary Conditions, and Spectral Flow on a Finite Warped CylinderWe study the Dirac operator on a finite warped cylinder coupled to a background U(1) gauge field. We identify the intrinsic endpoint operators defining the Atiyah-Patodi-Singer (APS) boundary…Taro Kimura, Sanchita Sharma·Mar 24, 2026SaveLearn
Information-theoretic structure for the Tsallis q-entropy in statistical physicsIn this work, we derive information-theoretic properties for a modified Tsallis entropy, hereinafter referred to as q-entropy. We introduce the notions of joint q-entropy, conditional q-entropy,…Marco A. S. Trindade·Mar 24, 2026SaveLearn
Edge density expansions for the classical Gaussian and Laguerre ensemblesRecent work of Bornemann has uncovered hitherto hidden integrable structures relating to the asymptotic expansion of quantities at the soft edge of Gaussian and Laguerre random matrix ensembles.…Peter J. Forrester, Anas A. Rahman, Bo-Jian Shen·Mar 24, 2026SaveLearn
The Spatial Hydrodynamic Attractor: Resurgence of the Gradient ExpansionFar-from-equilibrium kinetic systems collapse onto a hydrodynamic attractor, traditionally approximated by a gradient expansion. While temporal gradient series are non-Borel summable and require…Mahdi Kooshkbaghi·Mar 23, 2026SaveLearn
The Spectral Shift Function for Non-Self-Adjoint PerturbationsThis paper is devoted to the definition and analysis of the spectral shift function (SSF) associated with non-self-adjoint perturbations of self-adjoint operators. Motivated by applications in…Vincent Bruneau, Nicolas Frantz, François Nicoleau·Mar 23, 2026SaveLearn
Homogenization of point interactionsWe consider a non-relativistic quantum particle in Rd, d=2 or d = 3, interacting with singular zero-range potentials concentrated on a large collection of points. We analyze the…Domenico Cafiero, Michele Correggi, Davide Fermi·Mar 22, 2026SaveLearn