Loop expansion in Yang-Mills thermodynamics

TL;DR

This paper demonstrates that in the deconfining phase of SU(2) and SU(3) Yang-Mills thermodynamics, thermodynamical quantities can be computed using a finite set of connected bubble diagrams due to a selfconsistent coarse-graining involving (anti)calorons.

Contribution

It introduces a selfconsistent spatial coarse-graining approach that simplifies the loop expansion to a finite number of diagrams in Yang-Mills thermodynamics.

Findings

Loop expansions are determined by a finite number of diagrams

Selfconsistent coarse-graining involves (anti)calorons

Thermodynamical quantities are calculable with simplified diagrams

Abstract

We argue that a selfconsistent spatial coarse-graining, which involves interacting (anti)calorons of unit topological charge modulus, implies that real-time loop expansions of thermodynamical quantities in the deconfining phase of SU(2) and SU(3) Yang-Mills thermodynamics are, modulo 1PI resummations, determined by a finite number of connected bubble diagrams.