PaperPanorama

HEP Lattice·hep-lat

Wed·Sep 2, 2026

5 papers—1 primary·4 cross-listed

All5Primary1Cross-lists4
  1. 01

    Long-distance hybrid spin-dependent and hybrid-quarkonium mixing potentials from lattice gauge theory

    Vilija de Jonge🇩🇪 · Paul Pütz🇩🇪 · Antonio Vairo🇩🇪 · Marc Wagner🇩🇪

    We present lattice gauge theory results for the hybrid spin-dependent and hybrid-quarkonium mixing potentials. The only existing lattice computation of these potentials is limited to quark-antiquark separations smaller than approximately . In this work, we extend the lattice results up to around using large-volume, high-statistics simulations at several lattice spacings and gradient flow times, providing the first lattice data in this previously unexplored regime.

    hep-lat0 citations
  2. 02

    Chern--Simons Fluctuations and Information Geometry in Discrete Electromagnetism

    Jean-Pierre Magnot

    We construct helicity-conditioned statistical states for a Whitney-discretized electromagnetic field on a closed oriented three-manifold. The simplicial de Rham complex provides exact discrete gauge symmetry, while the Whitney inner product separates exact, harmonic, and coexact sectors. The spatial Abelian Chern--Simons functional is gauge invariant and depends only on the coexact potential. After fixing harmonic modes, we introduce a helicity-biased Gaussian ensemble on the reduced electromagnetic phase space and derive explicit formulas for its admissible parameters, partition function, mean helicity, relative entropy, and Fisher information. The distribution uniquely minimizes relative entropy under a prescribed mean-helicity constraint. Its helicity susceptibility equals the variance of the discrete Chern--Simons functional and controls the local distinguishability of neighboring statistical states. Because magnetic helicity is generally not conserved under unconstrained Maxwell dynamics, these states represent conditioned inference rather than dynamical equilibrium.

    ↳ math-phhep-latmath.DGmath.MP+10 citations
  3. 03

    Accretion, mergers, and metastability of fuzzy spheres in a three-matrix model

    M. Hrmo🇸🇰 · S. Kováčik🇸🇰 · K. Magdolenová🇸🇰 · A. Manta🇦🇹 · K. Nedeľková🇸🇰 · P. Rusnák🇸🇰 · H. C. Steinacker🇦🇹 · J. Tekel🇸🇰

    A three-matrix model that contains a plethora of fuzzy sphere solutions was defined twenty years ago. It has been shown that in a certain regime of the model, combinations of fuzzy spheres become classical solutions of the model. In the original paper and subsequent works, the stability of specific states has been discussed, showing that only a single largest fuzzy-sphere configuration is stable. Here, we focus on a complementary question: starting from some initial configuration, is the thermodynamically preferred state approached rapidly, or are there other long-lived, metastable configurations which may support interesting physics? We find that the answer in the large-matrix limit depends on the dispersion of the initial configuration. We identify the elementary transition as an accretion, in which one sphere absorbs a single unit from another, and show that it is driven by fluctuations of the sphere centers. By measuring these fluctuations in long simulations, we find quantitative agreement with the one-loop effective action, with no free parameters. For multi-sphere states, we find that the stiffness of an inner sphere grows logarithmically with the number of surrounding layers, so that concentric onion-like configurations -- describing an emergent three-dimensional quantum space -- become increasingly long-lived.

    ↳ hep-thhep-lat0 citations
  4. 04

    Status of the strong problem

    Wen-Yuan Ai🇨🇳

    The strong problem remains one of the major open questions in the Standard Model of particle physics. Its best-known solution is the Peccei--Quinn mechanism, which predicts a new pseudoscalar boson, the QCD axion. In recent years, alternative solutions and new perspectives on the foundations of the strong problem have also received renewed attention. In this review, we provide a pedagogical account of the underlying physics and summarise the current theoretical and phenomenological status of the problem.

    ↳ hep-phastro-ph.COhep-lathep-th0 citations
  5. 05

    Amplitude structure of scattering in a Mandelstam variable representation

    Xu Zhang🇨🇳 · Feng-Kun Guo🇨🇳

    We construct a dispersive representation of the relativistic scattering amplitude for three identical spinless particles in the -wave. The two-particle subenergy, instead of the total energy, is used as the dispersive variable. This choice keeps the physical dispersive contour free of the kinematical cuts that complicate total-energy dispersion relations. By separating discontinuities across the two-particle subenergy cuts from that across the three-body cut, we derive a linear integral equation with one-particle exchange as the driving term. We further show that the solution satisfies three-body unitarity as a consequence of two-body unitarity, analyticity, and crossing symmetry. For pair-wise interactions, this representation can be rewritten into the form used for isobar-spectator scattering. Finally, we give prescriptions for contour deformation and the subtraction of poles in the two-body subsystem amplitudes, which continue the amplitude onto adjacent unphysical Riemann sheets and thus provide direct access to the analytic structure relevant for three-body resonance poles.

    ↳ hep-phhep-latnucl-th0 citations

Affiliations

first authorsco-authorsvia INSPIRE