2670 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 generalizes the Lieb-Mattis ordering theorem to fermionic mixtures with spinor components in the thermodynamic limit, demonstrating that the lowest-energy states within each permutation symmetry sector are well-approximated by U coherent states and exhibit distinct quantum phase transitions dependent on their symmetry sectors.
This paper introduces rotated logical states in quantum error correction, demonstrating that applying rotation operators to stabilizer states creates a modified code distance that significantly enhances error suppression and threshold resilience, particularly under superconducting-inspired noise models.
This paper demonstrates that the geometric distance between two qubits in a structured reservoir serves as a single control parameter to actively store, revive, or suppress Bell nonlocality through environmental memory, enabling passive non-Markovian devices and highly sensitive interferometric detection in current quantum platforms.
This paper utilizes analytic bootstrap methods to define and characterize diagonal boundaries in critical loop models via a complex parameter, deriving explicit formulas for disc correlation functions and demonstrating that specific parameter values yield discrete spectra of degenerate representations, while also providing a lattice interpretation where loops cannot terminate or change weight upon touching such boundaries.
This paper investigates the existence of ground states for the Nonlinear Magnetic Schrödinger Equation on noncompact metric graphs by proving that the magnetic Hamiltonian is variationally equivalent to a non-magnetic operator with repulsive potentials determined by Aharonov-Bohm flux, a reduction that extends classical existence criteria and reveals a mass-dependent phase transition on the tadpole graph where strong flux can prevent ground state formation.
This paper demonstrates a surprising asymmetry in the regularity of conjugacies for generalized interval exchange transformations under freezing limits, showing that while the conjugacy can become arbitrarily irregular, its inverse remains uniformly Hölder continuous.
This paper establishes that the maximal amplitude solutions of the focusing nonlinear Schrödinger equation with randomly distributed eigenvalues converge to deterministic profiles governed by either the Painlevé-III or Painlevé-V equations, demonstrating that the formation of such rogue waves is a universal phenomenon robust to randomness.
This paper establishes the existence of channel wave operators and characterizes the resulting wave operator subspace as a finite energy subspace for -body time-periodic Schrödinger operators, thereby recovering asymptotic completeness for the two-body case while providing key intermediate results, such as a minimal velocity bound, for the still-open case.
This paper provides a physical interpretation for the analytic continuation of the superconformal SU gauge theory partition function on the four-sphere by demonstrating that its singularities arise from two-dimensional unstable instantons associated with 4d complex saddles, a result derived from the chiral algebra subsector and consistent with Higgs branch localization.
This paper establishes a novel continuum coupling that expresses two independent critical Ising magnetisation fields as deterministic functions of a single Gaussian free field and independent coin flips, extending the concept of bosonisation through a scaling limit of a discrete coupling involving double random currents and two-valued sets.