Cold Quark Matter: Renormalization group improvement of the perturbative series

TL;DR

This paper reviews recent methods to improve the calculation of cold, dense quark matter pressure in QCD by resumming soft modes and applying renormalization group optimized perturbation theory, reducing scale dependence.

Contribution

It introduces and compares two advanced resummation techniques, soft mode resummation and RGOPT, for more accurate perturbative QCD pressure calculations at high density.

Findings

Both methods significantly reduce residual scale dependence.

Resummation approaches improve the accuracy of perturbative series.

Enhanced theoretical control over cold quark matter calculations.

Abstract

We discuss recent improvements of the cold and dense QCD pressure owing to an all-order resummation of the soft modes, or to the so-called renormalization group optimized perturbation theory (RGOPT). Both approaches show a significant improvement of the residual renormalization scale dependence with respect to the state-of-the-art results for the perturbative pressure.