A renormalisable non-anticommutative SU(N)xU(1) gauge theory in components

TL;DR

This paper demonstrates how to achieve a renormalisable non-anticommutative supersymmetric SU(N)×U(1) gauge theory in component form at one-loop level, addressing previous challenges in the formalism.

Contribution

It provides a method to implement renormalisability in non-anticommutative supersymmetric gauge theories using component formalism.

Findings

Renormalisability achieved at one-loop level

Implementation in component formalism demonstrated

Addresses previous theoretical challenges

Abstract

We discuss the non-anticommutative (N=1/2) supersymmetric SU(N)\otimes U(1) gauge theory including a superpotential. We show how recent proposals for obtaining a renormalisable version of the theory may be implemented in the component formalism at the one-loop level.