Homotopies in Batalin-Vilkovisky FormalismWe review the notion of homotopy of quantum master actions in geometric Batalin-Vilkovisky formalism. Then we construct new examples of such homotopies, coming from renormalization group flow and…Branislav Jurčo, Ján Pulmann, Martin Zika·Jun 29, 2026SaveLearn
Minkowskian open/closed conformal field theory possibly without vacuum: the Cardy caseFor any conformal net, not necessarily rational, we construct the associated Cardy-type conformal field theory on the Minkowski spacetimes ( R/2π Z)× R for closed strings…Bin Gui·Jun 29, 2026SaveLearn
A Kac system interacting with two heat reservoirs: the shearing caseWe study a system formed by M particles moving in 3 dimensions and interacting with two heat reservoirs, each with N M particles. The system and the reservoirs interact via random collisions…Federico Bonetto, Matthew Powell·Jun 29, 2026SaveLearn
Existence and absence of Bose-Einstein condensation in the interacting random Kac-Luttinger modelIn this paper, we study interacting bosons at zero temperature in a random and higher-dimensional continuum model introduced by Kac and Luttinger. For weak interactions we prove that there is…C. Boccato, J. Kerner, M. Pechmann et al.·Jun 29, 2026SaveLearn
Shirokov realizations of low dimensional Lie algebrasWe compute the transitive realizations for the low dimensional cases of real Lie algebras up to dimension four using Shirokov's method. First, the generic realizations are given, then, making use…Severin Pošta·Jun 29, 2026SaveLearn
Tensor invariants for multipartite entanglement classificationOrganising the space of entanglement structures of a multipartite quantum system is a much more challenging task than its bipartite version: while the local unitary (LU) orbit of a bipartite pure…Sylvain Carrozza, Johann Chevrier, Luca Lionni·Jun 29, 2026SaveLearn
Distances between pure quantum states induced by a distance matrixWith the help of a given distance matrix of size n, we construct an infinite family of distances dp (where p ≥ 2) on the complex projective space P(Cn) modelling the…Tomasz Miller, Rafał Bistroń·Jun 29, 2026SaveLearn
A Multi-Body Dobrushin-Sokal Criterion -- Part IIWe prove a sufficient condition for the absolute convergence of Mayer cluster expansions of log-partition and correlation functions applicable to lattice gases with possibly complex-valued multi-body…Jan Philipp Neumann·Jun 28, 2026SaveLearn
PDE-constrained optimization for virtual sensing in structural dynamics: Full-field displacement and force recovery from sparse sensorsVirtual sensing -- recovering full-field structural response from sparse sensor measurements -- is a fundamental challenge in structural health monitoring. This study formulates virtual sensing as a…Minjae Kim, Jaehwan Jeong, Jaemin Kim·Jun 28, 2026SaveLearn
Probability density functions as solutions of heterogeneous Cattaneo-Vernotte diffusion equationIn this paper, we considered a heterogeneous Cattaneo-Vernotte equation with an exponential type of diffusion coefficient under the fundamental initial and boundary conditions stating that the…K. Górska, Ž. Tomovski, A. Horzela et al.·Jun 28, 2026SaveLearn
Homogeneity, Isotropy, and Determinism Force a Quadratic Spacetime Interval: A Derivation of Relativity Without LightWe show that a few physical principles -- smoothness, homogeneity, isotropy, and the determinism of inertial motion -- force the invariant interval governing the geometry of spacetime to reduce to a…Deon Nicholas·Jun 28, 2026SaveLearn
Transitions with the same energy difference in the Bohr model of the hydrogen atomIn the Bohr model of the hydrogen atom, the energy levels are a negative constant divided by the square of the level number. It is well known that special pairs of transitions exist that have the…Matthias W. Reinsch·Jun 28, 2026SaveLearn
A Primer of Group Theory for Loop Quantum Gravity and Spin-foamsCalculations in Loop Quantum Gravity (LQG) and spin-foam theory rely heavily on the group theory of SU(2) and SL(2,C). Even though many monographs are devoted to this material, the various tools…Pierre Martin-Dussaud·Jun 28, 2026SaveLearn
The heat-kernel master field on Zd at strong couplingWe solve large-N Yang--Mills theory on Zd, for every d≥2, at strong coupling, for structure group U(N) and for the heat-kernel action. More precisely, we prove that…Thibaut Lemoine·Jun 27, 2026SaveLearn
How to Untwist Twisted Gauge FieldsThis paper provides an isomorphism between the space of twisted gauge fields on a principal bundle P and the space of standard gauge fields on a different principal bundle Q…Serge Lazzarini, Thierry Masson, Louis Usala·Jun 27, 2026SaveLearn
Metric Congruence in Finite-Dimensional Non-Hermitian Quantum MechanicsWe study metric representations in finite-dimensional non-Hermitian quantum mechanics. The main purpose of this work is to emphasize that the physical description of a non-Hermitian system may be…Ramirez Romina, Reboiro Marta·Jun 27, 2026SaveLearn
The BEG model at the FAD triple point on the square latticeIn this note, we prove that the two-dimensional Blume-Emery-Griffiths model at the triple point Ferromagnetic-Antiquadrupolar-Disordered (FAD) has a unique Gibbs measure at any temperature, thereby…Estevão F. Borel, Aldo Procacci, Rémy Sanchis et al.·Jun 27, 2026SaveLearn
When Certainty Emerges from Stochasticity: Hidden Attractor of Deterministic MotionMacroscopic deterministic motion is traditionally interpreted as a result of statistical averaging. In this paper, we show that it is a strict geometric attractor of the contact flow. We reveal a…D. Y. Zhong·Jun 27, 2026SaveLearn
The role of integrability in Fermi-Pasta-Ulam-Tsingou-like modelsIn these lecture notes, we present, contextualize, and discuss the phenomenon of metastability (or prethermalization) in the Fermi-Pasta-Ulam-Tsingou lattice and similar models from the viewpoint of…Matteo Gallone·Jun 27, 2026SaveLearn
Towards postquantum Vaĭnberg--Brègman relative entropiesWe develop a new approach to construction of the Vaĭnberg--Brègman relative entropies over nonreflexive Banach spaces, based on nonlinear embeddings into reflexive Banach spaces. We apply it to…Ryshard-Pavel Kostecki·Jun 27, 2026SaveLearn
Uniqueness, analyticity and mixing for Gibbs point processes via spectral gapsA Gibbs point process models particles interacting in the continuum through a potential. Among the most classical examples is the hard-sphere model, where given an activity parameter λ, a radius…Andreas Göbel, Matthew Jenssen, Marcus Michelen et al.·Jun 26, 2026SaveLearn
Bottleneck Effects and Harmonic-Type Velocity Bounds for Periodic Quantum WalksWe prove explicit upper bounds on the propagation velocity of one-dimensional quantum walks with periodic coins of arbitrary period. We treat two complementary settings. First, in a perturbative…Houssam Abdul-Rahman, Thomas A. Jackson, Darren C. Ong·Jun 26, 2026SaveLearn
W*-algebraic Integration TheoryGiven a pair of W*-algebras (MS,MR) with (MS)* separable, a measurable space (Σ, F) and a POVM $E:…Jan Głowacki, Yui Kuramochi·Jun 26, 2026SaveLearn
Liouville-Preserving Hamiltonian Scattering on Finite Metric GraphsA metric graph with a mechanical Hamiltonian on each edge does not, by itself, define a deterministic classical motion through a branching vertex: conservation of energy fixes only the outgoing…Philip Hierhager·Jun 26, 2026SaveLearn
Bethe Vectors in Quantum Integrable Models with Classical SymmetriesThe first goal of this paper is to give a precise and simple definition for off-shell Bethe vectors in a generic g-invariant integrable model for g=gln, o2n+1, sp2n and o2n. We…A. Liashyk, S. Pakuliak, E. Ragoucy·Jun 26, 2026SaveLearn