1694 papers
Mathematical physics sits at the fascinating intersection where abstract equations meet the fundamental laws of our universe. This field uses rigorous mathematical tools to model everything from the behavior of subatomic particles to the curvature of spacetime, turning complex theories into testable predictions. It is the language through which physicists describe reality, bridging the gap between pure mathematics and physical observation.
On Gist.Science, we process every new preprint published in this category on arXiv to make these dense studies accessible to everyone. Whether you are a specialist or a curious reader, you will find both plain-language overviews and detailed technical summaries for each paper. Below are the latest mathematical physics papers from arXiv, curated to help you explore the cutting edge of theoretical science.
This paper applies deformation quantization to an oscillator system with second-class constraints in a deformed fermionic phase space by utilizing the Dirac bracket to define the star product, subsequently deriving the system's energy levels, Wigner functions, and deformation-induced entanglement entropy.
This paper identifies three explicit families of non-degradable and non-PPT states that possess a single-letter formula for one-way distillable entanglement by introducing weakened degradability conditions, establishing stability for orthogonally flagged mixtures, and proposing a generalized spin-alignment principle for entropy minimization.
This paper demonstrates that for the -fold symmetric one-harmonic polynomial conformal map, the first spectral instability of the mixed Hessian of the dispersionless Toda -function occurs at the analytic threshold rather than the later geometric threshold where univalence is lost, characterized by a single logarithmically diverging eigenvalue and a bounded remainder spectrum.
This paper establishes a unified variational framework for the inverse Kohn-Sham problem by identifying the fixed-density constrained search as a natural anchor, thereby demonstrating that diverse existing inversion methods are equivalent realizations of the same underlying optimization structure that differ primarily in how they treat state equations and density constraints.
This paper investigates perturbations of relative cubic Dirac operators for basic classical Lie superalgebras within the colour quantum Weil algebra framework, yielding three distinct classes of invariants: semisimple orbits characterizing atypicality, a unified cohomology theory combining Dirac and Duflo–Serganova cohomologies, and a Chern-type invariant derived from a Weil-covariant differential.
This paper derives an explicit expression for the joint correlation measure between eigenvalues and singular values in bi-unitarily invariant complex random matrix ensembles, providing closed formulas that simplify significantly for polynomial and Pólya ensembles.
This paper presents a generalized linear response theory for mixed jump-diffusion models that derives comprehensive response formulas and decomposes system behavior into Kolmogorov eigenmodes, successfully demonstrating its predictive power in diagnosing ENSO variability and projecting climate change in energy balance models.
This paper addresses the ambiguity in defining X gates for qudits by identifying three inequivalent formulations of the bit-flip channel, demonstrating that common cyclic models are special cases of these generalizations, and showing how these distinct channels uniquely impact the entanglement of qubit-qutrit and 2-qutrit Werner states.
This paper proposes a rigorous quantum Hamiltonian formalism for renormalization group flows in topologically ordered systems by leveraging the algebraic relationship between homomorphisms, quotient rings, and ideals to characterize generalized symmetries, determine anyon condensation rules, and constrain gapped phase classifications.
This paper derives a thermodynamically consistent free boundary model for two-phase flows in an evolving domain that incorporates bulk-surface interactions via convective Cahn--Hilliard equations and generalized Navier slip conditions, unifying previous models through rigorous derivation via Lagrange Multiplier and Energetic Variational approaches.