Volume-Dependent Field TheoriesWe develop the axiom system proposed by Kontsevich and Segal to define volume-dependent field theories (VFTs), a class of non-topological quantum field theories whose dependence on the background…Richard Wedeen·Feb 8, 2024SaveLearn
Signature change by a morphism of spectral triplesWe present a connection between twisted spectral triples and pseudo-Riemannian spectral triples, rooted in the fundamental interplay between twists and Krein products. A concept of morphism of…Gaston Nieuviarts·Feb 8, 2024SaveLearn
Ground state energy of the low density Bose gas with two-body and three-body interactionsIn the present paper we study the low density Bose gas in the thermodynamic limit interacting via two-body and three-body interaction potentials. We prove that the leading order of the ground state…François L. A. Visconti·Feb 8, 2024SaveLearn
Triangular solutions to the reflection equation for Uq(sln)We study solutions of the reflection equation related to the quantum affine algebra Uq(sln). First, we explain how to construct a family of stochastic integrable vertex models with…Dmitry Kolyaskin, Vladimir V Mangazeev·Feb 8, 2024SaveLearn
Asymptotic Quantum State Discrimination for Mixtures of Unitarily Related StatesGiven a mixture of states, finding a way to optimally discriminate its elements is a prominent problem in quantum communication theory. In this paper, we will address mixtures of density operators…Alberto Acevedo, Janek Wehr·Feb 7, 2024SaveLearn
Energy of a non-linear viscoelastic model compatible with fractional relaxationRecently, a non-linear model of viscoelasticity based on Rational Extended Thermodynamics was proposed in [arXiv:2312.05116]. This theory extends the evolution of the viscous stress beyond the linear…Andrea Giusti, Andrea Mentrelli, Tommaso Ruggeri·Feb 7, 2024SaveLearn
Time-domain constraints for Positive Real functions: Applications to the dielectric response of a passive materialThis paper presents a systematic approach to derive physical bounds for Positive Real (PR) functions directly in the Time-Domain (TD). The theory is based on Cauer's representation of an arbitrary PR…Sven Nordebo, Martin Stumpf·Feb 7, 2024SaveLearn
Exact solutions for the probability density of various conditioned processes with an entrance boundaryThe probability density is a fundamental quantity for characterizing diffusion processes. However, it is seldom known except in a few renowned cases, including Brownian motion and the…Alain Mazzolo·Feb 7, 2024SaveLearn
Combinatorial 2d higher topological quantum field theory from a local cyclic A∞ algebraWe construct combinatorial analogs of 2d higher topological quantum field theories. We consider triangulations as vertices of a certain CW complex . In the "flip theory," cells of…Justin Beck, Andrey Losev, Pavel Mnev·Feb 6, 2024SaveLearn
The open XYZ spin 1/2 chain: Separation of Variables and scalar products for boundary fields related by a constraintWe consider the open XYZ spin chain with boundary fields. We solve the model by the new Separation of Variables approach introduced in arXiv:1904.00852. In this framework, the transfer matrix…G. Niccoli, V. Terras·Feb 6, 2024SaveLearn
Macroscopic Fluctuation Theory versus large-deviation-induced GENERICRecent developments in Macroscopic Fluctuation Theory show that many interacting particle systems behave macroscopically as a combination of a gradient flow with Hamiltonian dynamics. This…D. R. Michiel Renger·Feb 6, 2024SaveLearn
Notes on Lagrangian continuum mechanicsIn Continuum Mechanic a simple material body B is represeted by a three-dimensional differentiable manifold and the configuration space is given by the space of embeddings $Emb (…V. M. Jiménez·Feb 5, 2024SaveLearn
Poisson-Lie analogues of spin Sutherland models revisitedSome generalizations of spin Sutherland models descend from `master integrable systems' living on Heisenberg doubles of compact semisimple Lie groups. The master systems represent Poisson--Lie…L. Feher·Feb 5, 2024SaveLearn
Generalized dynamical phase reduction for stochastic oscillatorsPhase reduction is an important tool for studying coupled and driven oscillators. The question of how to generalize phase reduction to stochastic oscillators remains actively debated. In this work,…Pierre Houzelstein, Peter J. Thomas, Benjamin Lindner et al.·Feb 5, 2024SaveLearn
High-fugacity expansion and crystallization in non-sliding hard-core lattice particle models without a tiling constraintIn this paper, we prove the existence of a crystallization transition for a family of hard-core particle models on periodic graphs in arbitrary dimensions. We establish a criterion under which…Qidong He, Ian Jauslin·Feb 4, 2024SaveLearn
Preserving the Hermiticity of the One-Body Density Matrix for a Non-Interacting Fermi GasThe one-body density matrix (ODM) for a zero temperature non-interacting Fermi gas can be approximately obtained in the semiclassical regime through different -expansion techniques. One would…L. M. Farrell, D. Eaton, P. Chitnelawong et al.·Feb 3, 2024SaveLearn
Bosonic Laplacians in higher spin Clifford analysisIn this article, we firstly introduce higher spin Clifford analysis, which are considered as generalizations of classical Clifford analysis by considering functions taking values in irreducible…Chao Ding, John Ryan·Feb 3, 2024SaveLearn
Inverse problems for a generalized fractional diffusion equation with unknown historyInverse problems for a diffusion equation containing a generalized fractional derivative are studied. The equation holds in a time interval (0,T) and it is assumed that a state u (solution of…Jaan Janno·Feb 1, 2024SaveLearn
Modeling of heat conduction through rate equationsStarting from a classical thermodynamic approach, we derive rate-type equations to describe the behavior of heat flow in deformable media. Constitutive equations are defined in the material…Claudio Giorgi, Angelo Morro, Federico Zullo·Feb 1, 2024SaveLearn
Solutions of the loop equations of a class of generalized Frobenius manifoldsWe prove the existence and uniqueness of solution of the loop equation associated with a semisimple generalized Frobenius manifold with non-flat unity, and show, for a particular example of one…Si-Qi Liu, Haonan Qu, Yuewei Wang et al.·Feb 1, 2024SaveLearn
WDVV solutions associated with the genus one holomorphic differentialConsider the genus one Hurwitz space H1(n0,…,nm) of ramified covering of fixed degree with m+1 prescribed poles of order n0+1,…,nm+1, respectively. Based on a recent…Chaabane Rejeb·Feb 1, 2024SaveLearn
Duality of quantum geometriesQuantum connections are defined by parallel transport operators acting on a Hilbert space. They transport tangent operators along paths in parameter space. The metric tensor of a Riemannian manifold…Jan Naudts·Jan 31, 2024SaveLearn
Characterization of Green's function of discrete Schr\"odinger operator on a finite graph by its spanning subgraphsThe Green's function of the discrete Sch\"odinger operator on a finite graph is considered. This setting reproduces Laplacian and signless Laplacian by adjusting appropriate potentials. We show two…Yusuke Higuchi, Etsuo Segawa·Jan 30, 2024SaveLearn
Maurer-Cartan methods in perturbative quantum mechanicsWe reformulate the time-independent Schr\"odinger equation as a Maurer-Cartan equation on the superspace of eigensystems of the former equation. We then twist the differential so that its cohomology…Andrey Losev, Tim Sulimov·Jan 30, 2024SaveLearn
The point scatterer approximation for wave dynamicsGiven an open, bounded and connected set ⊂R3 and its rescaling of size 1, we consider the solutions of the Cauchy problem for the…Andrea Mantile, Andrea Posilicano·Jan 30, 2024SaveLearn