Improved ground-state estimate by thermal resummation

TL;DR

This paper shows that in SU(2) Yang-Mills thermodynamics at high temperatures, a resummed one-loop correction leads to a linear temperature dependence in pressure and energy density, which is smaller than the tree-level estimate.

Contribution

It introduces a thermal resummation method that reveals a linear temperature dependence in the deconfining phase, refining the understanding of thermal ground-state estimates.

Findings

Linear dependence of pressure and energy density on temperature.

Resummed one-loop correction is smaller than the tree-level estimate.

Hierarchical structure of corrections in high-temperature regime.

Abstract

For the deconfining phase of SU(2) Yang-Mills thermodynamics and for high temperatures we point out that a linear dependence on temperature of a one-loop selfconsistently resummed thermal correction to the pressure and the energy density takes place despite a quartic dependence arising from an unsummed two-loop correction. This linearity is hierarchically smaller than the one belonging to the tree-level estimate of the thermal ground-state. We discuss and interprete this result.