Ultra-violet Finiteness in Noncommutative Supersymmetric Theories

TL;DR

This paper investigates the ultraviolet divergence structure of noncommutative supersymmetric gauge theories to identify conditions under which these theories are finite at all orders of perturbation.

Contribution

It analyzes the divergence structure of noncommutative supersymmetric $U(N_c)$ gauge theories and explores the possibility of all-orders finiteness.

Findings

Identification of divergence patterns in noncommutative supersymmetric theories

Conditions for all-orders ultraviolet finiteness

Insights into the renormalization properties of noncommutative gauge theories

Abstract

We consider the ultra-violet divergence structure of general noncommutative supersymmetric $U(N_c)$ gauge theories, and seek theories which are all-orders finite.