Renormalizability of $\mathcal{N}=1$ super Yang-Mills theory in Landau gauge with a Stueckelberg-like field

TL;DR

This paper demonstrates that the Super Yang-Mills action in Landau gauge remains renormalizable at all orders when incorporating a gauge-invariant mass term constructed from a Stueckelberg-like superfield, extending previous non-renormalizable formulations.

Contribution

The authors introduce a gauge-invariant transverse superfield configuration and show that adding a mass term with this configuration preserves renormalizability of super Yang-Mills theory.

Findings

The constructed action is renormalizable to all orders.

The gauge-invariant mass term does not spoil renormalizability.

The approach extends the class of renormalizable super Yang-Mills models.

Abstract

We construct a vector gauge invariant transverse field configuration $V^H$, consisting of the well-known superfield $V$ and of a Stueckelberg-like chiral superfield. The renormalizability of the Super Yang Mills action in the Landau gauge is analyzed in the presence of a gauge invariant mass term $m^2 \int dV \mathcal{M}(V^H)$, with $\mathcal{M}(V^H)$ a power series in $V^H$. Unlike the original Stueckelberg action, the resulting action turns out to be renormalizable to all orders.