Yang-Mills theory at non-vanishing temperature

2011/12/22 by Fister, Leonard, Pawlowski, Jan M. · 1 citation
#FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th)

paper · doi:10.48550/arxiv.1112.5429

Abstract

We compute ghost and gluon propagators of Yang-Mills theory in the Landau gauge at non-vanishing temperature within a functional renormalisation group setting. We construct purely thermal flows, that project onto thermal fluctuations only. For temperatures and momenta above the confinement-deconfinement temperature Tc the electric propagator shows a thermal suppression due to Debye screening. The magnetic gluon propagator shows a thermal scaling and tends towards the three-dimensional one. In this region both propagators match the lattice propagators. The thermal scaling is also reflected in the infrared suppression of the ghost-gluon vertex. For temperatures below Tc the electric propagator shows an enhancement which is in qualitative agreement with the lattice behaviour.

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• The quantum criticality of the Standard Model and the hierarchy problem

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