On bounds and boundary conditions in the continuum Landau gauge

TL;DR

This paper investigates the implications of Cucchieri-Mendes bounds on the inverse Faddeev-Popov operator within continuum Landau gauge and proposes a renormalizable method to implement Landau B-gauges.

Contribution

It analyzes the effects of recent bounds on the path integral formulation and introduces a new renormalizable prescription for Landau B-gauges.

Findings

Derived consequences of Cucchieri-Mendes bounds on the path integral.

Provided an explicit renormalizable implementation of Landau B-gauges.

Abstract

In this note, we consider the Landau gauge in the continuum formulation. Our purposes are twofold. Firstly, we try to work out the consequences of the recently derived Cucchieri-Mendes bounds on the inverse Faddeev-Popov operator at the level of the path integral quantization. Secondly, we give an explicit renormalizable prescription to implement the so-called Landau B-gauges as introduced by Maas.