Formal integration of complete Rota-Baxter Lie algebrasIn this paper, first we revisit the formal integration of Lie algebras, which give rise to braces in some special cases. Then we establish the formal integration theory for complete Rota-Baxter Lie…Maxim Goncharov, Pavel Kolesnikov, Yunhe Sheng et al.·Apr 14, 2024SaveLearn
The Hessian geometry of the ideal gas in rotationWe study the Hessian geometry associated with an ideal gas in a spherical centrifuge. According to Souriau, a spherically confined ideal gas admit states of thermal and rotational equilibrium. These…Jérémie Pierard de Maujouy·Apr 13, 2024SaveLearn
Classically Frustrated Magnets, Symmetries and Z2-Equivariant TopologyA novel result in Z2-equivariant homotopy theory is stated, proven, and applied to the topological classification of classically frustrated magnets in the presence of canonical…Shayan Zahedi·Apr 13, 2024SaveLearn
The extended Ablowitz-Ladik hierarchy and a generalized Frobenius manifoldWe define a certain extension of the Ablowitz-Ladik hierarchy, and prove that this extended integrable hierarchy coincides with the topological deformation of the Principal Hierarchy of a generalized…Si-Qi Liu, Yuewei Wang, Youjin Zhang·Apr 13, 2024SaveLearn
Star exponentials from propagators and path integralsIn this paper we address the relation between the star exponentials emerging within the Deformation Quantization formalism and Feynman's path integrals associated with propagators in quantum…Jasel Berra-Montiel, Hugo Garcia-Compean, Alberto Molgado·Apr 12, 2024SaveLearn
Generalized Hydrodynamics for the Volterra lattice: Ballistic and nonballistic behavior of correlation functionsIn recent years, a lot of effort has been put in describing the hydrodynamic behavior of integrable systems. In this paper, we describe such picture for the Volterra lattice. Specifically, we are…Guido Mazzuca·Apr 12, 2024SaveLearn
Sharp spectral transition for embedded eigenvalues of perturbed periodic Dirac operatorsWe consider the Dirac equation on L2(R) L2(R) align Ly= pmatrix 0&-1 1&0 pmatrix pmatrix y1 y2 pmatrix'+ pmatrix p&q q&-p…Kang Lyu, Chuanfu Yang·Apr 12, 2024SaveLearn
Large-Parameter Asymptotics of Generalized Hasting-McLeod FunctionsThe generalized Hastings-McLeod solutions to the inhomogeneous Painlev\'e-II equation arise in multi-critical unitary random matrix ensembles, the chiral two-matrix model for rectangular matrices,…Kurt Schmidt, Robert Buckingham·Apr 11, 2024SaveLearn
Poincar\'e disk as a model of squeezed states of a harmonic oscillatorSingle-mode squeezed states exhibit a direct correspondence with points on the Poincar\'e disk. In this study, we delve into this correspondence and describe the motions of the disk generated by a…Ian Chi, Martin Fraas, Tina Tan·Apr 11, 2024SaveLearn
Tensor models and group field theories: combinatorics, large N and renormalizationWe provide a brief overview of tensor models and group field theories, focusing on their main common features. Both frameworks arose in the context of quantum gravity research, and can be understood…Sylvain Carrozza·Apr 11, 2024SaveLearn
Near-field reconstruction of periodic structures with superimposed illuminationThis paper addresses the reconstruction of periodic structures using phase or phaseless near-field measurements. We introduce a novel illumination strategy based on the quasi-periodic condition.…Jue Wang, Yujie Wang, Lei Zhang et al.·Apr 11, 2024SaveLearn
Hilbert space representation for quasi-Hermitian position-deformed Heisenberg algebra and Path integral formulationPosition deformation of a Heisenberg algebra and Hilbert space representation of both maximal length and minimal momentum uncertainties may lead to loss of Hermiticity of some operators that generate…Thomas Katsekpor, Latévi M. Lawson, Prince K. Osei et al.·Apr 10, 2024SaveLearn
Anisotropic Ising model in d+s dimensionsIn this note, we consider the asymmetric nearest neighbor ferromagnetic Ising model on the (d+s)-dimensional unit cubic lattice d+s, at inverse temperature β=1 and with coupling…Estevão F. Borel, Aldo Procacci, Rémy Sanchis et al.·Apr 10, 2024SaveLearn
Entanglement entropy in the ground state of non-interacting massless Dirac fermions in dimension oneWe present a novel proof of a formula of Casini and Huerta for the entanglement entropy of the ground state of non-interacting massless Dirac fermions in dimension one localized to (a union of)…Fabrizio Ferro, Paul Pfeiffer, Wolfgang Spitzer·Apr 10, 2024SaveLearn
Hopf bifurcation of a non-parallel Navier-Stokes flowA plane non-parallel flow in a square fluid domain exhibits an odd number of vortices. A spectral structure is found to have a non-real solution of the spectral problem linearized around the flow.…Zhi-Min Chen·Apr 10, 2024SaveLearn
Internal Lagrangians and spatial-gauge symmetriesA direct reformulation of the Hamiltonian formalism in terms of the intrinsic geometry of infinitely prolonged differential equations is obtained. Concepts of spatial equation and spatial-gauge…Kostya Druzhkov·Apr 9, 2024SaveLearn
Perturbative Construction of Equilibrium States for Interacting Fermionic Field TheoriesIn this paper, we aim to extend to interacting massive and massless fermionic theories the recent perturbative construction of equilibrium states developed within the framework of perturbative…Stefano Galanda·Apr 9, 2024SaveLearn
Generalized Positive Energy Representations of the Group of Compactly Supported DiffeomorphismsMotivated by asymptotic symmetry groups in general relativity, we consider projective unitary representations of the Lie group Diffc(M) of compactly supported…Bas Janssens, Milan Niestijl·Apr 9, 2024SaveLearn
The majorant method for the fermionic effective actionWe revisit the problem of controlling Polchinski's equation by the solution of an associate Hamilton-Jacobi equation which determines a norm majorant for the fermionic effective action. This method,…Wilhelm Kroschinsky, Domingos H. U. Marchetti, Manfred Salmhofer·Apr 9, 2024SaveLearn
Instability of quadratic band degeneracies and the emergence of Dirac pointsConsider the Schr\"odinger operator H = - + V, where the potential V is real, Z2-periodic, and additionally invariant under the symmetry group of the square. We show that,…Jonah Chaban, Michael I. Weinstein·Apr 8, 2024SaveLearn
Mourre theory and spectral analysis of energy-momentum operators in relativistic quantum field theoryA central task of theoretical physics is to analyse spectral properties of quantum mechanical observables. In this endeavour, Mourre's conjugate operator method emerged as an effective tool in the…Janik Kruse·Apr 8, 2024SaveLearn
Entanglement bounds for single-excitation energy eigenstates of quantum oscillator systemsWe provide an analytic method for estimating the entanglement of the non-gaussian energy eigenstates of disordered harmonic oscillator systems. We invoke the explicit formulas of the eigenstates of…Houssam Abdul-Rahman, Robert Sims, Günter Stolz·Apr 8, 2024SaveLearn
Free Field Realization of Supersymmetric W-algebrasWe show that supersymmetric(SUSY) W-algebra of generic level can be realized as an intersection of the kernels of the screening operators. Applying this result to principal SUSY W-algebras, we get…Arim Song·Apr 8, 2024SaveLearn
Long-time asymptotics of the Tzitz\'eica equation on the lineIn this paper, the renowned Riemann-Hilbert method is employed to investigate the initial value problem of Tzitz\'eica equation on the line. Initially, our analysis focuses on elucidating the…Lin Huang, Deng-Shan Wang, Xiaodong Zhu·Apr 7, 2024SaveLearn
SU(2)-equivariant quantum channels: semiclassical analysisWe study completely positive and trace-preserving equivariant maps between operators on irreducible representations of SU(2). We find asymptotic approximations of channels in the limit of…Tommaso Aschieri, Błażej Ruba, Jan Philip Solovej·Apr 5, 2024SaveLearn