Finite temperature gluon propagator in Landau gauge: non-zero Matsubara frequencies and spectral densities

TL;DR

This paper presents lattice computations of the finite temperature Landau gauge gluon propagator, including non-zero Matsubara frequencies, and derives spectral densities to explore implications for gluon confinement.

Contribution

It introduces a novel lattice computation of the gluon propagator at finite temperature with spectral density analysis using Tikhonov regularisation.

Findings

Spectral densities obtained for finite temperature gluon propagators

Insights into gluon confinement mechanisms at finite temperature

Methodology combining lattice data with regularisation techniques

Abstract

We report on the lattice computation of the Landau gauge gluon propagator at finite temperature, including the non-zero Matsubara frequencies. Moreover, the corresponding K\"all\'en-Lehmann spectral density is computed, using a Tikhonov regularisation together with the Morozov discrepancy principle. Implications for gluon confinement are also discussed.