PaperPanorama

HEP Lattice·hep-lat

Fri·Aug 14, 2026

3 papers—2 primary·1 cross-listed

All3Primary2Cross-lists1
  1. 01

    Blind Spots of the Zwanziger Horizon Function

    Daniel G. Tedesco🇧🇷

    We examine the configurationwise relation between the first Gribov horizon, defined by loss of positivity of the Faddeev-Popov operator, and Zwanziger's horizon function, which probes the inverse operator through background-dependent sources. The analysis focuses on whether the spectral directions associated with the onset of the Gribov horizon are necessarily accessible to the sources entering the horizon function, including situations in which the critical subspace is degenerate. This question is studied for radial SU(2) hedgehog backgrounds in three and four Euclidean dimensions, where angular symmetry constrains the source sector while the radial profile controls the ordering of Faddeev-Popov thresholds. Variational estimates and finite-volume calculations are used to characterize the threshold structure for smooth radial profiles. The regular-gauge BPST background is treated separately because of domain issues associated with zero-energy behavior and the horizon source in the full-space setting. The discussion is restricted to configurationwise spectral properties and does not address the statistical weighting of these backgrounds in the Yang-Mills functional integral.

    hep-lathep-thmath-phmath.MP1 citation
  2. 02

    Topological properties around the Roberge-Weiss transition in QCD

    Massimo D'Elia🇮🇹 · Fabio Siliberto🇮🇹 · Kevin Zambello🇮🇹

    We investigate the topological properties of QCD across the finite temperature Roberge-Weiss transition, which is found for particular values of the imaginary baryon chemical potential. Our study is conducted for QCD with physical quark masses, discretized via stout improved staggered fermions and considering mostly two different values of the compactifed dimension, and . Results for and for the associated universality class are consistent with those found in the case with a slightly different discretization. The topological susceptibility appears to be practically constant for , then rapidly decaying for higher temperatures. The analysis of the fourth order cumulant of the topological charge distribution, , reveals that it is compatible with the prediction of the Dilute Instanton Gas Approximation right after , showing thus a sharp transition, which is more similar to what observed in pure gauge theories rather than to full QCD along the standard thermal line, where instead a slower transition was observed in previous studies.

    hep-lathep-th0 citations
  3. 03

    Localised Horizons and Holographic Thermodynamics: Supercooling in the 1/D Expansion

    Prateek Agrawal🇺🇸 · Gaurang Ramakant Kane🇬🇧 · Vazha Loladze🇬🇧

    In holography, four-dimensional confining gauge theories are often modelled by five-dimensional Einstein--scalar gravity by choosing a specific form of the scalar potential. In a large class of non-conformal theories, we show that a predictive structure emerges for the thermal confinement transition by generalising the gravitational dual to dimensions and using a expansion. These results are independent of the details of the scalar potential, hinting towards universality. The black brane geometry dual to the deconfined phase can be analytically constructed due to its effects being localised near the horizon at leading order. The solution does not exist below a minimal temperature and the maximum possible supercooling in the transition is generically suppressed by a factor of . Remarkably, the maximum supercooling at the leading order is set by the speed of sound in the deconfined phase of the gauge theory at the critical temperature, . These predictions agree with explicit calculations in an exponential superpotential, improved holography, and the thermal transition in super Yang--Mills on a sphere.

    ↳ hep-thhep-lathep-ph0 citations

Affiliations

first authorsco-authorsvia INSPIRE