Mathematical Physics

Authors and titles for Jul 2023

[1]  arXiv:2307.00312 [pdf, ps, other]

Title: Upper bounds for the number of isolated critical points via Thom-Milnor theorem

Authors: Vladimir Zolotov

Comments: A reference to Kuzmina's work is added. The work has a very similar bound for the number of central configurations

Subjects: Mathematical Physics (math-ph); Algebraic Geometry (math.AG); Algebraic Topology (math.AT); Classical Analysis and ODEs (math.CA)

[2]  arXiv:2307.00345 [pdf, other]

Title: Microcanonical phase transitions for the vortex system

Authors: Dario Benedetto, Emanuele Caglioti, Margherita Nolasco

Comments: 22 pages,15 figures

Journal-ref: Math. Mech. Compl. Sys. 12 (2024) 85-112

Subjects: Mathematical Physics (math-ph)

[3]  arXiv:2307.00473 [pdf, ps, other]

Title: Multichannel scattering for the Schrödinger equation on a line with different thresholds at both infinities

Authors: P.O. Kazinski, P.S. Korolev

Comments: 12 pp

Journal-ref: Proc. R. Soc. A. 480, 20230847 (2024)

Subjects: Mathematical Physics (math-ph); Quantum Physics (quant-ph)

[4]  arXiv:2307.00596 [pdf, ps, other]

Title: On the role of the Integrable Toda model in one-dimensional molecular dynamics

Authors: Giancarlo Benettin, Giuseppe Orsatti, Antonio Ponno

Comments: 22 pages, 14 figures, Submitted in Journal of Statistical Physics

Journal-ref: J. Stat. Phys. 190, 131 (2023)

Subjects: Mathematical Physics (math-ph); Dynamical Systems (math.DS); Exactly Solvable and Integrable Systems (nlin.SI)

[5]  arXiv:2307.00634 [pdf, ps, other]

Title: Evaluation of the second virial coefficient for the Mie potential using the method of brackets

Authors: Ivan Gonzalez, Igor Kondrashuk, Victor H. Moll, Daniel Salinas-Arizmendi

Comments: 11 pages

Subjects: Mathematical Physics (math-ph)

[6]  arXiv:2307.00788 [pdf, ps, other]

Title: Positive mass gap of quantum Yang-Mills Fields

Authors: Adrian P. C. Lim

Comments: 95 pages

Subjects: Mathematical Physics (math-ph)

[7]  arXiv:2307.00948 [pdf, ps, other]

Title: Dual formulation for constraint solutions of the multi-state Choquard equation

Authors: Gershon Wolansky

Comments: 21 pages

Subjects: Mathematical Physics (math-ph)

[8]  arXiv:2307.00956 [pdf, other]

Title: Focusing dynamics of 2D Bose gases in the instability regime

Authors: Lea Boßmann, Charlotte Dietze, Phan Thành Nam

Subjects: Mathematical Physics (math-ph); Quantum Gases (cond-mat.quant-gas)

[9]  arXiv:2307.01008 [pdf, other]

Title: Dyson-Schwinger equations in zero dimensions and polynomial approximations

Authors: Carl M. Bender, Christos Karapoulitidis, S. P. Klevansky

Comments: 18 pages, 19 figures

Journal-ref: Physical Review D 108, 056002 (2023)

Subjects: Mathematical Physics (math-ph); High Energy Physics - Theory (hep-th); Quantum Physics (quant-ph)

[10]  arXiv:2307.01113 [pdf, ps, other]

Title: Pressure of a dilute spin-polarized Fermi gas: Lower bound

Authors: Asbjørn Bækgaard Lauritsen, Robert Seiringer

Comments: 34 pages, 1 figure

Subjects: Mathematical Physics (math-ph)

[11]  arXiv:2307.01527 [pdf, other]

Title: Duality of O(N) and Sp(N) random tensor models: tensors with symmetries

Authors: H. Keppler, T. Krajewski, T. Muller, A. Tanasa

Comments: 21 pages, 6 figures

Journal-ref: J. Phys. A: Math. Theor. 56 (2023) 495206

Subjects: Mathematical Physics (math-ph); High Energy Physics - Theory (hep-th)

[12]  arXiv:2307.01608 [pdf, ps, other]

Title: Dynamical Localization for the Singular Anderson Model in $\mathbb{Z}^d$

Authors: Nishant Rangamani, Xiaowen Zhu

Comments: 18 pages

Subjects: Mathematical Physics (math-ph); Spectral Theory (math.SP)

[13]  arXiv:2307.01625 [pdf, other]

Title: Joint moments of higher order derivatives of CUE characteristic polynomials I: asymptotic formulae

Authors: Jonathan P. Keating, Fei Wei

Comments: 29 pages. We modified some typos and added some references

Subjects: Mathematical Physics (math-ph); Number Theory (math.NT)

[14]  arXiv:2307.01699 [pdf, other]

Title: Logarithmically enhanced area-laws for fermions in vanishing magnetic fields in dimension two

Authors: Paul Pfeiffer, Wolfgang Spitzer

Comments: 49 pages, 2 figures

Subjects: Mathematical Physics (math-ph); Statistical Mechanics (cond-mat.stat-mech); Functional Analysis (math.FA)

[15]  arXiv:2307.02112 [pdf, ps, other]

Title: Deformation and quantisation condition of the $\mathscr{Q}$-top recursion

Authors: Kento Osuga

Comments: Minor corrections. Accepted version by Annales Henri Poincare

Journal-ref: Ann. Henri Poincar\'e (2024)

Subjects: Mathematical Physics (math-ph); High Energy Physics - Theory (hep-th); Algebraic Geometry (math.AG)

[16]  arXiv:2307.02121 [pdf, ps, other]

Title: Non-perturbative solution of the dual BBGKY hierarchy of hard-sphere fluids

Authors: V.I. Gerasimenko, I.V. Gapyak

Comments: 19 pages

Subjects: Mathematical Physics (math-ph); Soft Condensed Matter (cond-mat.soft); Statistical Mechanics (cond-mat.stat-mech); Analysis of PDEs (math.AP)

[17]  arXiv:2307.02233 [pdf, ps, other]

Title: Vacuum polarisation without infinities

Authors: Dirk - André Deckert, Franz Merkl, Markus Nöth

Comments: 14 pages, for the conference proceedings of the Laws of Nature Conference 2022 remembering Detlef D\"urr

Subjects: Mathematical Physics (math-ph); High Energy Physics - Theory (hep-th); Quantum Physics (quant-ph)

[18]  arXiv:2307.02235 [pdf, ps, other]

Title: The phase transition for the three-state SOS model with one-level competing interactions on the binary tree

Authors: Muzaffar M. Rahmatullaev, Obid Sh. Karshiboev

Comments: 11 pages, 3 figures

Subjects: Mathematical Physics (math-ph)

[19]  arXiv:2307.02613 [pdf, ps, other]

Title: Infinite affine, hyperbolic and Lorentzian Weyl groups with their associated Calogero models

Authors: Francisco Correa, Andreas Fring, Octavio Quintana

Comments: 25 pages

Journal-ref: J. Phys. A: Math. Theor. 57 055203 (2024)

Subjects: Mathematical Physics (math-ph); High Energy Physics - Theory (hep-th); Exactly Solvable and Integrable Systems (nlin.SI)

[20]  arXiv:2307.02831 [pdf, other]

Title: Joint moments of higher order derivatives of CUE characteristic polynomials II: Structures, recursive relations, and applications

Authors: Jonathan P. Keating, Fei Wei

Comments: 49 pages. Some typos are modified

Subjects: Mathematical Physics (math-ph); Number Theory (math.NT)

[21]  arXiv:2307.03076 [pdf, other]

Title: Arctic curves of the four-vertex model

Authors: I. N. Burenev, F. Colomo, A. Maroncelli, A. G. Pronko

Comments: 36 pages, 21 figures; v2: minor changes in the abstract and Sect. 2, one reference added, misprints corrected

Journal-ref: J. Phys. A: Math. Theor. 56 (2023), 465202

Subjects: Mathematical Physics (math-ph); Statistical Mechanics (cond-mat.stat-mech); Probability (math.PR)

[22]  arXiv:2307.03282 [pdf, ps, other]

Title: Feynman path integrals on compact Lie groups with bi-invariant Riemannian metrics and Schrödinger equations

Authors: Nicoló Drago, Sonia Mazzucchi, Valter Moretti

Comments: 50 pages

Subjects: Mathematical Physics (math-ph); Functional Analysis (math.FA); Probability (math.PR)

[23]  arXiv:2307.03674 [pdf, other]

Title: Analysis of a one-dimensional Hamiltonian with a singular double well consisting of two nonlocal $δ'$ interactions

Authors: Silvestro Fassari, Manuel Gadella, Luis-Miguel Nieto, Fabio Rinaldi

Comments: 24 pages, 20 figures

Journal-ref: Eur. Phys. J. Plus 139, 132 (2024)

Subjects: Mathematical Physics (math-ph); Quantum Physics (quant-ph)

[24]  arXiv:2307.03720 [pdf, other]

Title: Biorthogonal polynomials related to quantum transport theory of disordered wires

Authors: Dong Wang

Comments: 58 pages, 9 figures. Minor revision from the last version

Subjects: Mathematical Physics (math-ph); Classical Analysis and ODEs (math.CA); Probability (math.PR)

[25]  arXiv:2307.03831 [pdf, other]

Title: Integrability from categorification

Authors: Hank Chen, Florian Girelli

Comments: 28 pages, 1 figure

Subjects: Mathematical Physics (math-ph); Strongly Correlated Electrons (cond-mat.str-el); High Energy Physics - Theory (hep-th); Exactly Solvable and Integrable Systems (nlin.SI)