Quark Confinement and the Renormalization Group

TL;DR

This paper reviews recent theoretical approaches to quark confinement, emphasizing the role of renormalization group methods and discussing key concepts like string tension, Wilson loops, and phase transitions.

Contribution

It provides a comprehensive overview of how renormalization group techniques are applied to understand quark confinement phenomena.

Findings

Connections between confinement and renormalization group methods elucidated.

Various approaches like real-space and functional renormalization groups analyzed.

Insights into confinement mechanisms at finite temperature discussed.

Abstract

Recent approaches to quark confinement are reviewed, with an emphasis on their connection to renormalization group methods. Basic concepts related to confinement are introduced: the string tension, Wilson loops and Polyakov lines, string breaking, string tension scaling laws, center symmetry breaking, and the deconfinement transition at non-zero temperature. Current topics discussed include confinement on $R^3\times S^1$, the real-space renormalization group, the functional renormalization group, and the Schwinger-Dyson equation approach to confinement.