Bound excited states of Fr\"ohlich polarons in one dimensionThe one-dimensional Fr\"ohlich model describing the motion of a single electron interacting with optical phonons is a paradigmatic model of quantum many-body physics. We predict the existence of an…Jamie Taylor, Matija Čufar, David Mitrouskas et al.·Jun 3, 2025SaveLearn
Discrete Painlev\'e equations from pencils of quadrics in P3 with branching generatorsIn this paper we extend the novel approach to discrete Painlev\'e equations initiated in our previous work [2]. A classification scheme for discrete Painlev\'e equations proposed by Sakai interprets…Jaume Alonso, Yuri B. Suris·Jun 2, 2025SaveLearn
A gradient-enhanced approach for stable finite element approximations of reaction-convection-diffusion problemsWe develop a micromorphic-based approach for finite element stabilization of reaction-convection-diffusion equations, by gradient enhancement of the field of interest via introducing an auxiliary…Soheil Firooz, B. Daya Reddy, Paul Steinmann·Jun 2, 2025SaveLearn
A Variational Scalar Conformal Flow for Lorentz-Contracted Geometry: Algebraic Decay and Canonical NormalizationWe introduce the scalar function C(v)=π(1-v2/c2) as a conformal factor associated, within the model, with longitudinal Lorentz contraction. Extending C(v) to a one-parameter family…Anton Alexa·Jun 1, 2025SaveLearn
Rational and non-rational two-dimensional conformal field theories arising from latticesFor a (finite-dimensional) real Hilbert space h and an orthogonal projection p, we consider the associated Heisenberg Lie algebra and the two-dimensional Heisenberg conformal net. Given…Maria Stella Adamo, Luca Giorgetti, Yoh Tanimoto·Jun 1, 2025SaveLearn
Field generalization of elliptic Calogero-Moser system in the form of higher rank Landau-Lifshitz modelWe prove gauge equivalence between integrable field generalization of the elliptic Calogero-Moser model and the higher rank XYZ Landau-Lifshitz model of vector type on 1+1 dimensional space-time.…K. Atalikov, A. Zotov·Jun 1, 2025SaveLearn
A New q-Heisenberg AlgebraThis work introduces a novel q- deformation of the Heisenberg algebra, designed to unify and extend several existing q-deformed formulations. Starting from the canonical Heisenberg algebra…Julio Cesar Jaramillo Quiceno·May 31, 2025SaveLearn
A Formula for Connected Bosonic \(n\)-Point Functions for the BKP HierarchyWe present a formula for the connected \(n\)-point functions of a tau-funtion of the BKP hierarchy by embedding BKP hierarchy into KP hierarchy. This formula is different from the one given by Wang…Xuhui Zhang, Jian Zhou·May 31, 2025SaveLearn
The critical temperature Tcr(Ising) is DS-computableWe show that the Dobrushin-Shlosman conditions CV for the uniqueness of the Gibbs state provide the exact value for the critical temperature of the d-dimensional Ising model.Senya Shlosman·May 30, 2025SaveLearn
The quantitative semi-classical limit of a large Fermi system at zero temperatureIn this article we consider a large system of fermions in a combined mean-field and semiclassical limit, in three dimensions. We investigate the convergence of the Wigner function of the ground…Esteban Cárdenas·May 30, 2025SaveLearn
Elliptic Calogero-Sutherland model and conformal field theoryIn a project with Gordon Semenoff on 1+1 dimensional QCD many years ago (when he was my postdoc advisor), we stumbled over a method to solve Calogero-Moser-Sutherland models using gauge theories.…Edwin Langmann·May 30, 2025SaveLearn
Direct approach to approximate conservation lawsIn this paper, non-variational systems of differential equations containing small terms are considered, and a consistent approach for deriving approximate conservation laws through the introduction…M. Gorgone, G. Inferrera·May 29, 2025SaveLearn
The second order Huang-Yang approximation to the Fermi thermodynamic pressureWe consider a dilute Fermi gas in the thermodynamic limit with interaction potential scattering length a0 at temperature T>0. We prove the 2nd order Huang-Yang approximation for the…Xuwen Chen, Jiahao Wu, Zhifei Zhang·May 29, 2025SaveLearn
The early stage of the motion along the gradient of a concentrated vortex structureWe give a rigorous mathematical result, supported by numerical simulations, of the aggregation of a concentrated vortex blob with an underlying non-constant vorticity field: the blob moves in the…Franco Flandoli, Matteo Palmieri, Milo Viviani·May 28, 2025SaveLearn
Discrete Boltzmann Equation for AnyonsA semi-classical approach to the study of the evolution of anyonic excitations--elementary particles with fractional statistics, complementing bosons and fermions--is through the Boltzmann equation…Niclas Bernhoff·May 28, 2025SaveLearn
Spin transport and lack of quantisation for time-reversal symmetric insulators on the honeycomb structureWe investigate spin transport in a class of time-reversal symmetric insulators on the honeycomb structure, the Kane--Mele model being an emblematic example in this class. We derive the spin…Luca Fresta, Giovanna Marcelli·May 28, 2025SaveLearn
Thermodynamical aspects of fermions in external electromagnetic fieldsThe thermodynamics of Dirac fields under the influence of external electromagnetic fields is studied. For perturbations which act only for finite time, the influence of the perturbation can be…Romeo Brunetti, Klaus Fredenhagen, Nicola Pinamonti·May 28, 2025SaveLearn
The Huang-Yang conjecture for the low-density Fermi gasOur work establishes a three-term asymptotic expansion of the ground state energy of a dilute gas of spin 1/2 fermions with repulsive short-range interactions, validating a formula predicted by…Emanuela L. Giacomelli, Christian Hainzl, Phan Thành Nam et al.·May 28, 2025SaveLearn
Two-dimensional equilibrium configurations in Korteweg fluidsIn this paper, after reviewing the form of the constitutive equations for a third grade Korteweg fluid, recently derived by means of an extended Liu procedure, an equilibrium problem is investigated.…M. Gorgone, F. Oliveri, A. Ricciardello et al.·May 28, 2025SaveLearn
A Correlational Bound for Eigenvalues of Fermionic 2-Body OperatorsWe prove that the eigenvalues of a 2-body operator γ2 associated to a fermionic N-particle state are highly constrained by the structure of the corresponding eigenvectors:…Martin Ravn Christiansen·May 27, 2025SaveLearn
Through and beyond moments, entropies and Fisher information measures: new informational functionals and inequalitiesWe introduce new classes of informational functionals, called upper moments, respectively down-Fisher measures, obtained by applying classical functionals such as p-moments and the…Razvan Gabriel Iagar, David Puertas-Centeno·May 27, 2025SaveLearn
Approximate Noether symmetries of perturbed Lagrangians and approximate conservation lawsIn this paper, within the framework of the consistent approach recently introduced for approximate Lie symmetries of differential equations, we consider approximate Noether symmetries of variational…M. Gorgone, F. Oliveri·May 26, 2025SaveLearn
The modular Hamiltonian in asymptotically flat spacetime conformal to MinkowskiWe consider a four-dimensional globally hyperbolic spacetime (M,g) conformal to Minkowski spacetime, together with a massless, conformally coupled scalar field. Using a bulk-to-boundary…Claudio Dappiaggi, Vincenzo Morinelli, Gerardo Morsella et al.·May 26, 2025SaveLearn
Ultraviolet Renormalization of the van Hove-Miyatake Model: an Algebraic and Hamiltonian ApproachIn this short communication we discuss the ultraviolet renormalization of the van Hove-Miyatake scalar field, generated by any distributional source. An abstract algebraic approach, based on the…Marco Falconi, Benjamin Hinrichs·May 26, 2025SaveLearn
On the asymptotic scaling of the von Neumann entropy in quasifree fermionic right mover/left mover systemsFor the general class of quasifree fermionic right mover/left mover systems over the infinitely extended two-sided discrete line introduced in [8] within the algebraic framework of quantum…Walter H. Aschbacher·May 26, 2025SaveLearn