PaperPanorama

HEP Lattice·hep-lat

Mon·Sep 21, 2026

2 papers—0 primary·2 cross-listed

All2Primary0Cross-lists2
  1. 01

    Interacting Boson System at Finite Temperature: The treatment of the lattice calculations

    D. Anchishkin · V. Gnatovskyy · D. Zhuravel · V. Karpenko

    We study interacting relativistic charged bosons at finite temperature and isospin density in a thermodynamically consistent mean-field approach with repulsive phi-4 and phi-6 interactions. The thermodynamics is formulated in an Extended Canonical Ensemble, in which the conserved isospin density, not the chemical potential, is the independent variable. This is essential in the condensed phase, where mu_I is fixed by condensation. With one constant fitted to the lattice pressure at T=122 MeV, the model reproduces the lattice isospin density, energy density, and trace anomaly, phi-6 being more accurate.

    ↳ hep-phhep-latnucl-th
  2. 02

    Axial Symmetry Breaking in Hot QCD: From Topology to the Chiral Phase Transition

    Heng-Tong Ding

    Heating matter can restore symmetries spontaneously broken at low temperature. The axial symmetry of quantum chromodynamics (QCD) is different: it is present in the classical theory with massless quarks but is broken upon quantization by the axial anomaly. The anomaly persists at every temperature, yet its observable effects can weaken. Can hot matter nevertheless behave as though this symmetry were restored at long distances? Whether such effective axial restoration occurs depends on how microscopic quark and gluon dynamics governs the strength and spatial range of axial breaking. This review brings together theoretical developments and first-principles lattice QCD calculations. We examine how gluon-field topology shapes the low-lying Dirac modes and their correlations, how these modes contribute to axial breaking at different spatial scales, and what this implies for the order and critical behavior of the chiral phase transition as quark masses approach zero.

    ↳ nucl-thhep-lathep-phhep-th