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Mathematical Physics papers — page 96

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Vortices for the magnetic Ginzburg-Landau theory in curved space
Since the Ginzburg-Landau theory is concerned with macroscopic phenomena, and gravity affects how objects interact at the macroscopic level. It becomes relevant to study the Ginzburg-Landau theory in…
Lei Cao, Yilu Xu, Shouxin ChenFeb 3, 2025
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Physical quantities as a partially additive field
We generalize the concept of a field by allowing addition to be a partial operation. We show that elements of such a "partially additive field" share many similarities with physical quantities. In…
Georgy AlymovFeb 3, 2025
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Non-self-adjoint Dirac operators on graphs
In this paper we introduce and study generally non-self-adjoint realizations of the Dirac operator on an arbitrary finite metric graph. Employing the robust boundary triple framework, we derive, in…
Markus Holzmann, Václav Růžek, Matěj TušekFeb 1, 2025
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Resolving the Problem of Multiple Control Parameters in Optimized Borel-Type Summation
One of the most often used methods of summing divergent series in physics is the Borel-type summation with control parameters improving convergence, which are defined by some optimization conditions.…
V. I. Yukalov, S. GluzmanFeb 1, 2025
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A note on spontaneous symmetry breaking in the mean-field Bose gas
We consider the homogeneous Bose gas in the three-dimensional unit torus, where N particles interact via a two-body potential of the form N-1 v(x). The system is studied at inverse…
Andreas Deuchert, Phan Thanh Nam, Marcin NapiorkowskiJan 31, 2025
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The Gibbs state of the mean-field Bose gas
We consider the homogeneous mean-field Bose gas at temperatures proportional to the critical temperature of its Bose-Einstein condensation phase transition. We prove a trace norm approximation for…
Andreas Deuchert, Phan Thành Nam, Marcin NapiórkowskiJan 31, 2025
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On the Ising Phase Transition in the Infrared-Divergent Spin Boson Model
We prove absence of ground states in the infrared-divergent spin boson model at large coupling. Our key argument reduces the proof to verifying long range order in the dual one-dimensional continuum…
Volker Betz, Benjamin Hinrichs, Mino Nicola Kraft et al.Jan 31, 2025
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Modular covariant torus partition functions of dense A1(1) and dilute A2(2) loop models
Yang-Baxter integrable dense A1(1) and dilute A2(2) loop models are considered on the torus in their simplest physical regimes. A combination of boundary conditions (h,v) is applied in…
Alexi Morin-Duchesne, Andreas Klümper, Paul A. PearceJan 31, 2025
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Quantitative Derivation of the Two-Component Gross--Pitaevskii Equation in the Hard-Core Limit with Uniform-in-Time Convergence Rate
We derive the time-dependent two-component Gross--Pitaevskii (GP) equation as an effective description of the dynamics of a dilute two-component Bose gas near its ground state, which exhibits a…
Jacky Chong, Jinyeop Lee, Zhiwei SunJan 30, 2025
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Classical facets of quantum integrability
This paper is a review of the works devoted to understanding and reinterpretation of the theory of quantum integrable models solvable by Bethe ansatz in terms of the theory of purely classical…
A. ZabrodinJan 30, 2025
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The Periodic Table and the Group SO(4,4)
The periodic system of chemical elements is represented within the framework of the weight diagram of the Lie algebra of the fourth rank of the rotation group of an eight-dimensional pseudo-Euclidean…
V. V. VarlamovJan 30, 2025
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On Euler equation for incoherent fluid in curved spaces
Hodograph equations for the Euler equation in curved spaces with constant pressure are discussed. It is shown that the use of known results concerning geodesics and associated integrals allows to…
B. G. Konopelchenko, G. OrtenziJan 30, 2025
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Connection formulae for the radial Toda equations II
This is a continuation of [arXiv:2309.16550] in which we computed the asymptotics near x = ∞ of all solutions of the radial Toda equation. In this article, we compute the asymptotics near $x =…
Martin A. Guest, Alexander R. Its, Maksim Kosmakov et al.Jan 29, 2025
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Non relativistic limit of the nonlinear Klein-Gordon equation: Uniform in time approximation of KAM solutions
We study the non relativistic limit of the solutions of the cubic nonlinear Klein--Gordon (KG) equation with periodic boundary conditions on an interval and we construct a family of time quasi…
Dario Bambusi, Andrea Belloni, Filippo GiulianiJan 29, 2025
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Ergodic Theorems for Quantum Trajectories under Disordered Generalized Measurements
We consider quantum trajectories arising from disordered, repeated generalized measurements, which have the structure of Markov chains in random environments (MCRE) with dynamically-defined…
Owen Ekblad, Eloy Moreno-Nadales, Lubashan PathiranaJan 29, 2025
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Polyanalytic Hermite polynomials associated with the elliptic Ginibre model
Motivated by the connection between the eigenvalues of the complex Ginibre matrix model and the magnetic Laplacian in the complex plane, we derive analogues of the complex Hermite polynomials for the…
Nizar Demni, Zouhaïr MouaynJan 28, 2025
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Equivariant localization in Batalin-Vilkovisky formalism
We derive equivariant localization formulas of Atiyah--Bott and cohomological field theory types in the Batalin-Vilkovisky formalism and discuss their applications in Poisson geometry and quantum…
Alberto S. Cattaneo, Shuhan JiangJan 28, 2025
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Spectral square roots of the multivector
The problem of multivector (MV) multiple square roots in real geometric Clifford algebras Cl(p,q) with symbolic coefficients is considered. The method to find multiple MV square roots that is based…
Adolfas Dargys, Arturas AcusJan 28, 2025
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Hard to soft edge transition for the Muttalib-Borodin ensembles with integer parameter θ
We find the universal limiting correlation kernels of the Muttalib-Borodin (MB) ensembles with integer parameter θ ≥ 2 at 0 in the transitive regime between the hard edge regime and the…
Dong Wang, Shuai-Xia XuJan 28, 2025
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Virtual bound states of the Pauli operator with an Aharonov-Bohm potential
A maximal realisation of the two-dimensional Pauli operator, subject to Aharonov--Bohm magnetic field, is investigated. Contrary to the case of the Pauli operator with regular magnetic potentials, it…
Marie Fialova, David KrejcirikJan 28, 2025
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Nonlocal Hamiltonian structures of the kinetic equation for soliton gas under polychromatic reductions
We deepen the existence of a nonlocal Hamiltonian formalism for the El's kinetic equation for soliton gas under the polychromatic reduction for a class of interaction kernels. The nonlocality…
Pierandrea VergalloJan 27, 2025
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Geometric calculations on density manifolds from reciprocal relations in hydrodynamics
Hydrodynamics describes the evolution of macroscopic states in non--equilibrium thermodynamics. Following Onsager reciprocal relations, one can formulate a large class of hydrodynamic equations as…
Wuchen LiJan 27, 2025
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The Vlasov Bivector: A Parameter-Free Approach to Vlasov Kinematics
Plasma kinetics, for both flat and curved spacetime, is conventionally performed on the mass shell, a 7--dimensional time-phase space with a Vlasov vector field, also known as the Liouville vector…
Finlay Gunneberg, Jonathan Gratus, Harvey StanfieldJan 27, 2025
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Degree of freedom count in linear gauge invariant PDE systems
We consider not necessarily Lagrangian partial linear differential equations (PDE) with constant coefficients. Einstein proposed a definition of the"strength" of such a field theory that defines its…
Simon Lyakhovich, Dmitri PiontkovskiJan 27, 2025
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On the level lines of two-layer symmetric potentials
We consider the behavior of level lines of two-dimensional potentials, which play an important role in the physics of ``two-layer'' systems. Potentials of this type are quasiperiodic and, at the same…
A. Ya. MaltsevJan 27, 2025
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