Two-Point Functions of Coulomb Gauge Yang-Mills Theory

TL;DR

This paper investigates the two-point functions in Coulomb gauge Yang-Mills theory using a functional approach, deriving key equations and providing one-loop perturbative results to deepen understanding of the theory's quantum behavior.

Contribution

It explicitly derives Dyson-Schwinger equations and Slavnov-Taylor identities for two-point functions in Coulomb gauge Yang-Mills theory, including one-loop perturbative calculations.

Findings

Derived explicit Dyson-Schwinger equations and Slavnov-Taylor identities.

Presented one-loop perturbative results for two-point functions.

Enhanced theoretical understanding of Coulomb gauge Yang-Mills quantum properties.

Abstract

The functional approach to Coulomb gauge Yang-Mills theory is considered within the standard, second order, formalism. The Dyson-Schwinger equations and Slavnov-Taylor identities concerning the two-point functions are derived explicitly and one-loop perturbative results are presented.