The evolution operator connecting the Lagrangian and Hamiltonian formalisms for contact systemsSome mechanical systems with dissipation can be described within the framework of the so-called contact mechanics: a modified form of the Euler-Lagrange equations stemming from Herglotz's variational…Xavier Gràcia, Ángel Martínez-Muñoz, Xavier Rivas et al.·Nov 17, 2025SaveLearn
Quantization and Algebraic IndexThis article reviews the program on connecting Batalin-Vilkovisky (BV) quantization with index theories of algebraic type. We explain how the classical algebraic index theorem can be proved in terms…Si Li·Nov 17, 2025SaveLearn
Dispersive estimates and long-time validity for Bogoliubov dynamics of interacting Bose gasesWe consider the Bogoliubov approximation for the many-body quantum dynamics of weakly interacting Bose gases and establish a uniform-in-time validity of the Bogoliubov theory. The proof relies on a…Phan Thành Nam, Simone Rademacher, Avy Soffer·Nov 16, 2025SaveLearn
Subcriticality at High Temperatures in Spin Lattice SystemsWe provide new sufficient conditions for subcriticality of classical and quantum spin lattice systems, formulated in terms of the uniqueness of Kubo-Martin-Schwinger (KMS) states. This is achieved by…Nicolò Drago, Lorenzo Pettinari, Christiaan J. F. van de Ven·Nov 16, 2025SaveLearn
Mathematical results for the nonlinear Winter's modelIn recent years, Winter's nonlinear model has been adopted in theoretical physics as the prototype for the study of quantum resonances and the dynamics of observables in the context of nonlinear…Andrea Sacchetti·Nov 16, 2025SaveLearn
Solutions of Three-Dimensional Stationary Gas Dynamics EquationsThis paper examines the three-dimensional stationary equations of a polytropic gas and employs symmetry methods to construct exact analytical solutions. In the Chaplygin gas case, the analysis yields…O. V. Kaptsov·Nov 16, 2025SaveLearn
The conditional probabilities and the empirical laws in a free scalar QFT in curved spacetimeUnlike QFT in Minkowski spacetime (QFTM), QFT in curved spacetime (QFTCS) suffers from a conceptual obscurity on the empirical (experimentally verifiable/falsifiable) laws. We propose to employ the…Hideyasu Yamashita·Nov 15, 2025SaveLearn
Intrinsic volumes of the quantum state space and mutually unbiased basesPrevious studies on the geometrical properties of the state space of a finite-level quantum system have determined its volume and surface area. Building on this foundation, we derive explicit…Zsombor Szilágyi, Mihály Weiner·Nov 14, 2025SaveLearn
Coupled Proca theories: Green-hyperbolicity, quantization and applications to polarization measurementThe Proca field describes a massive relativistic spin-1 particle and was originally formulated in Minkowski spacetime. Here we consider a variety of generalizations in globally hyperbolic…Christopher J. Fewster, Christiane K. M. Klein·Nov 14, 2025SaveLearn
Solving a Nonlinear Eigenvalue Equation in Quantum Information Theory: A Hybrid Approach to Entanglement QuantificationNonlinear eigenvalue equations arise naturally in quantum information theory, particularly in the variational quantification of entanglement. In this work, we present a hybrid analytical and…Abrar Ahmed Naqash, Fardeen Ahmad Sofi, Mohammad Haris Khan et al.·Nov 14, 2025SaveLearn
Boundary Compactified Imaginary Liouville TheoryWe generalize the construction of Compactified Imaginary Liouville Theory (CILT), a non-unitary logarithmic Conformal Field Theory (CFT) defined on closed surfaces, to surfaces with boundary.…Yang Xiao, Yuxiao Xie·Nov 14, 2025SaveLearn
The Birman--Solomyak theorem revisited: a novel elementary proof, generalisation, and applicationsWe provide a new short proof for the Birman--Solomyak theorem for Hilbert--Schmidt operators and give an application to a Schr\"odinger--Poisson system.V. Bach, A. F. M. ter Elst, J. Rehberg·Nov 14, 2025SaveLearn
Enhancing Micromagnetics Simulations with a Third-Order Semi-Implicit Projection MethodMicromagnetics depends on high-fidelity numerical methods for magnetization dynamics. This work proposes a third-order temporal accuracy scheme for the Landau-Lifshitz-Gilbert equation, addressing…Changjian Xie, Cheng Wang·Nov 14, 2025SaveLearn
-convergence of a diffeomorphism-natural MDL functional to Einstein-Hilbert with Gibbons-Hawking-York boundary termWe prove a \(\)-convergence result for a diffeomorphism-natural discrete MDL-type functional to the Einstein-Hilbert action with the Gibbons-Hawking-York boundary term. On boundary-fitted,…Marko Lela·Nov 14, 2025SaveLearn
Phase transitions in the Ising model on random graphsWe study phase transitions in the Ising model on random graphs using graph limits. We show that the critical temperatures are determined by the eigenvalues of the kernel operator associated with the…Artem Alexandrov, Georgi S. Medvedev·Nov 13, 2025SaveLearn
Wightman axiomatics of the bootstrap construction of the 1+1 dimensional Sinh-Gordon modelThe integrable bootstrap program allows one to express the tempered distributions associated with the multipoint functions of the integrable 1+1 dimensional Sinh-Gordon quantum field theory by means…Karol K. Kozlowski, Alex Simon·Nov 13, 2025SaveLearn
Multi-component Pfaff-Toda hierarchy within bilinear formalismUsing the free fermions technique and non-abelian bosonization rules we introduce the multi-component Pfaff-Toda hierarchy. The tau-function is defined as vacuum expectation value of a Clifford group…A. Savchenko, A. Zabrodin·Nov 13, 2025SaveLearn
Lenard-Balescu thermalization: rigorous derivation from a toy modelWe study the long-time dynamics of a tagged particle coupled to a background of N other particles, all interacting through long-range pairwise forces in the mean-field scaling, with the background…Mitia Duerinckx, Corentin Le Bihan·Nov 13, 2025SaveLearn
Splitting obstructions and Z2 invariants in time-reversal symmetric topological insulatorsThe Fu-Kane-Mele Z2 index characterizes two-dimensional time-reversal symmetric topological phases of matter. We shed some light on some features of this index by investigating…Alessandro Ferreri, Domenico Monaco, Gabriele Peluso·Nov 13, 2025SaveLearn
Geometric foundations of thermodynamics in the quantum regimeIn this work, we present a geometrical formulation of quantum thermodynamics based on contact geometry and principal fiber bundles. The quantum thermodynamic state space is modeled as a contact…Álvaro Tejero, Martín de la Rosa·Nov 13, 2025SaveLearn
Total partition function with fermionic number fluxes of local toric Calabi--Yau threefold and KP integrabilityAganagic, Dijkgraaf, Klemm, Mari\~no and Vafa adkmv predicted that the open string partition function on a smooth toric Calabi--Yau threefold should be a tau-function of multi-component KP…Zhiyuan Wang, Chenglang Yang, Jian Zhou·Nov 13, 2025SaveLearn
The zipper condition for 4-tensors in two-dimensional topological order and the higher relative commutants of a subfactor arising from a commuting squareResearchers in condensed matter physics recently study two-dimensional topological order in terms of tensor networks involving certain 3- and 4-tensors. Their 3-tensors satisfying the "zipper…Yasuyuki Kawahigashi·Nov 13, 2025SaveLearn
Subalgebra chains and nuclear physics: Commutant approach and construction of polynomial algebrasIn this paper, we review a new approach to study subalgebra chains g ⊃ g' in the context of nuclear physics. This approach does not rely on explicit realizations as…Rutwig Campoamor-Stursberg, Danilo Latini, Ian Marquette et al.·Nov 13, 2025SaveLearn
Generalized classical and quantum Zernike HamiltoniansA superintegrable generalization of the classical and quantum Zernike systems is reviewed. The corresponding Hamiltonians are endowed with higher-order integrals and can be interpreted as…Francisco J. Herranz, Alfonso Blasco, Rutwig Campoamor-Stursberg et al.·Nov 12, 2025SaveLearn
A k-contact Geometrical Approach to Pseudo-Gauge TransformationWe propose a starting point to the geometric description for the pseudo-gauge ambiguity in relativistic hydrodynamics, showing that it corresponds to the freedom to redefine the thermodynamic…Mykhailo Hontarenko, Javier de Lucas, Adam Maskalaniec·Nov 12, 2025SaveLearn