TRAPs, Generalisations of MZVs, Locality and Resurgence for Quantum Field TheoriesThis thesis presents some mathematical results related to quantum field theory. The first chapter is dedicated to TRAPs and how they could be used to rigorously define Feynman rules. The second…Pierre J. Clavier·Jun 11, 2025SaveLearn
Interpolations for a quantum Parisi formula in transverse field mean-field spin glass modelsA quantum Parisi formula for the transverse field Sherrington-Kirkpatrick (SK) model is proven with an elementary mathematical method. First, a self-overlap corrected quantum model of the transverse…C. Itoi, K. Fujiwara, Y. Sakamoto·Jun 11, 2025SaveLearn
Inverse scattering problem for the third-order equation on the lineWe consider the third-order linear differential equation d3ψdx3+Q(x)\,dψdx+P(x)\,ψ=k3\,ψ, x∈ R, where the complex-valued potentials…Tuncay Aktosun, Ivan Toledo, Mehmet Unlu·Jun 11, 2025SaveLearn
Convergence of Normal Form Power Series for Infinite-Dimensional Lie Pseudo-Group ActionsWe prove the convergence of normal form power series for suitably nonsingular analytic submanifolds under a broad class of infinite-dimensional Lie pseudo-group actions. Our theorem is illustrated by…Peter J. Olver, Masoud Sabzevari, Francis Valiquette·Jun 10, 2025SaveLearn
Virasoro constraints for Hodge integralsThe purpose of this paper is to study Virasoro constraints for Hodge integrals in Gromov-Witten theory of any target varieties. Results consist of the following: Firstly, we propose Virasoro…Xin Wang·Jun 10, 2025SaveLearn
Renormalization of bosonic quadratic Hamiltonians involving rank-one perturbationsWe study the renormalization of a bosonic quadratic Hamiltonian with an ultraviolet divergence. The Hamiltonian is composed of the sum of a free part and the square of the smeared field operator. We…Thomas Gamet·Jun 10, 2025SaveLearn
The Kirkwood closure point process: A solution of the Kirkwood-Salsburg equations for negative activitiesThe Kirkwood superposition is a well-known tool in statistical physics to approximate the n-point correlation functions for n≥ 3 in terms of the density and the radial distribution…Fabio Frommer·Jun 9, 2025SaveLearn
Heat Kernel on Warped ProductsWe study the spectral properties of the scalar Laplacian on a n-dimen\-sional warped product manifold M=×f N with a (n-1)-dimensional compact manifold N without boundary, a one…Ivan G. Avramidi·Jun 9, 2025SaveLearn
Lie Algebra Contractions and Interbasis Expansions on Two-Dimensional Hyperboloid IIB. Non-Subgroup BasisThe paper describes solutions of the Laplace-Beltrami equation on two-dimensional two-sheeted hyperboloid for three non-subgroup coordinate systems: semi-sircular parabolic, elliptic parabolic and…G. S. Pogosyan, A. Yakhno·Jun 7, 2025SaveLearn
Skewness of von Neumann entropy over Bures-Hall random statesWe study the degree of entanglement, as measured by von Neumann entropy, of bipartite systems over the Bures-Hall ensemble. Closed-form expressions of the first two cumulants of von Neumann entropy…Linfeng Wei, Youyi Huang, Lu Wei·Jun 7, 2025SaveLearn
Self-consistent equations and quantum diffusion for the Anderson modelWe consider the Anderson tight-binding model on Zd, d≥ 2, with Gaussian noise and at low disorder λ>0. We derive a diffusive scaling limit for the entries of the resolvent…Adam Black, Reuben Drogin, Felipe Hernández·Jun 6, 2025SaveLearn
Dimerization in O(n)-invariant quantum spin chainsWe establish dimerization in O(n)-invariant quantum spin chains with large enough n, in a much larger region of the phase diagram than previous results. This entails identifying two distinct…J. E. Björnberg, K. Ryan·Jun 6, 2025SaveLearn
A Covariant Framework for Generalized Spinor Dual StructuresIn this work, we propose a novel framework for defining the dual structure of a spinor. This construction relies on the basis elements of the Clifford algebra, leading to a covariant structure that…Rodolfo José Bueno Rogerio, Rogerio Teixeira Cavalcanti, Luca Fabbri·Jun 6, 2025SaveLearn
Combinatorial quantization of 4d 2-Chern-Simons theory II: Quantum invariants of higher ribbons in D4This is a continuation of the first paper (arXiv:2501.06486) of this series, where the framework for the combinatorial quantization of the 4d 2-Chern-Simons theory with an underlying compact…Hank Chen·Jun 6, 2025SaveLearn
Deformations of OP ensembles in a bulk critical scalingWe study orthogonal polynomial ensembles whose weights are deformations of exponential weights, in the limit of a large number of particles. The deformation symbols we consider affect local…Caio E. Candido, Victor Alves, Thomas Chouteau et al.·Jun 5, 2025SaveLearn
Electromagnetism: an intrinsic approach to Hadamard's method of descentWe present a systematic geometric framework for the dimensional reduction of classical electromagnetism based on the concept of descent along vector fields of invariance. By exploring the interplay…Giuliano Angelone, Elisa Ercolessi, Paolo Facchi et al.·Jun 5, 2025SaveLearn
A study on Heisenberg-Weyl linear mapsHeisenberg-Weyl operators provide a Hermitian generalization of Pauli operators in higher dimensions. Positive maps arising from Heisenberg-Weyl operators have been studied along with several…Saikat Patra, Bihalan Bhattacharya·Jun 5, 2025SaveLearn
Very high-order accurate finite volume scheme for the streamfunction-vorticity formulation of incompressible fluid flows with polygonal meshes on arbitrary curved boundariesConventional mathematical models for simulating incompressible fluid flow problems are based on the Navier-Stokes equations expressed in terms of pressure and velocity. In this context,…Ricardo Costa, Stéphane Clain, Gaspar J. Machado et al.·Jun 5, 2025SaveLearn
Is Crane--Yetter fully extended?We revisit the question of whether the Crane-Yetter topological quantum field theory (TQFT) associated to a modular tensor category admits a fully extended refinement. More specifically, we use tools…Luuk Stehouwer·Jun 5, 2025SaveLearn
On the analytical approach to infinite-mode Boson-Gaussian statesWe develop an analytical approach to quantum Gaussian states in infinite-mode representation of the Canonical Commutation Relations (CCR's), using Yosida approximations to define integrability of…Jorge R. Bolaños-Servín, Roberto Quezada, Josué I. Rios-Cangas·Jun 5, 2025SaveLearn
Third Order Upper Bound for the Ground State Energy of the Dilute Bose GasWe consider a dilute Bose gas in the thermodynamic limit. We prove an upper bound for the ground state energy per unit volume, capturing the expected third order term, as predicted by Wu,…Morris Brooks, Jakob Oldenburg, Diane Saint Aubin et al.·Jun 4, 2025SaveLearn
Quasi-equivalence of Gaussian states and energy estimates for functions of modular HamiltoniansTo compare two Gaussian states of the Weyl-CCR algebra of a free scalar QFT we study three closely related perspectives: (i) quasi-equivalence of the GNS-representations, (ii) differences of the…Adriano Chialastri, Ko Sanders·Jun 4, 2025SaveLearn
The size of the sync basin resolvedSparsely coupled Kuramoto oscillators offer a fertile playground for exploring high-dimensional basins of attraction due to their simple yet multistable dynamics. For n identical Kuramoto…Pablo Groisman, Cecilia De Vita, Julián Fernández Bonder et al.·Jun 3, 2025SaveLearn
Conformal nets from minimal W-algebrasWe show the strong graded locality of all unitary minimal W-algebras, so that they give rise to irreducible graded-local conformal nets. Among these unitary vertex superalgebras, up to taking tensor…Sebastiano Carpi, Tiziano Gaudio·Jun 3, 2025SaveLearn
Characterization of the D'Alembertian by the Poincar\'e InvarianceMany physical models are described by partial differential equations and the most important mathematical structure of the equations is governed by the corresponding linear partial differential…Hiromichi Nakazato, Tohru Ozawa·Jun 3, 2025SaveLearn