Phase Structure and Dynamics of QCD-- A Functional Perspective

TL;DR

This paper reviews the development of a first-principle continuum approach using the Functional Renormalization Group to study the phase structure and properties of QCD matter, including recent quantitative results and dynamical quantities.

Contribution

It introduces a novel application of the Functional Renormalization Group to analyze QCD's phase structure and dynamical properties from a first-principle perspective.

Findings

Quantitative results for quenched QCD and Yang-Mills theory in vacuum

Calculation of spectral functions and transport coefficients

Advancement in continuum approaches for QCD analysis

Abstract

The understanding of the phase structure and the fundamental properties of QCD matter from its microscopic description requires appropriate first-principle approaches. Here I review the progress towards a quantitative first-principle continuum approach within the framework of the Functional Renormalization group established by the fQCD collaboration. I focus on recent quantitative results for quenched QCD and Yang-Mills theory in the vacuum before addressing the calculation of dynamical quantities such as spectral functions and transport coefficients in this framework.