Spontaneously Broken Gauge Symmetry in SUSY Yang-Mills Theories with Matter

TL;DR

This paper investigates spontaneous gauge symmetry breaking in N=1 supersymmetric SU(N_c) Yang-Mills theories with matter, analyzing gauge fixing effects and demonstrating the well-behaved nature of non-local terms at one-loop and potentially beyond.

Contribution

It provides a detailed analysis of gauge symmetry breaking in SUSY Yang-Mills theories with matter, focusing on the behavior of non-local effects in the supersymmetric R_xi gauge.

Findings

Non-local terms from gauge fixing are well-behaved at one-loop.

The well-behaved nature of these terms likely extends to multiple loops.

Abstract

The analysis of spontaneous gauge symmetry breaking of N=1 supersymmetric SU(N_c) Yang-Mills theory with matter is performed. The supersymmetric $R_\xi$-gauge is used and its non-local effects investigated. Superpropagators and vertices are computed, and it is shown that the non-local terms introduced by the $R_\xi$-gauge-fixing are well-behaved in general gauge at one-loop. It is argued that this feature generalizes to multiple loops.