One-Loop Perturbative Corrections to non(anti)commutativity Parameter of N=1/2 Supersymmetric U(N) Gauge Theory

TL;DR

This paper investigates one-loop quantum corrections in N=1/2 supersymmetric U(N) gauge theory, revealing that the non(anti)commutativity parameter C undergoes perturbative modifications while the N=1 sector remains unaffected.

Contribution

It provides the first explicit calculation of one-loop corrections to the non(anti)commutativity parameter C in N=1/2 supersymmetric gauge theory.

Findings

The non(anti)commutativity parameter C receives one-loop corrections.

Quantum corrections to the N=1 sector are unaffected by C-deformation.

The running of C is analyzed via the Callan-Symanzik equation.

Abstract

Perturbative corrections to N=1/2 supersymmetric U(N) gauge theory at one-loop order are studied. It is shown that whereas the quantum corrections to N=1 sector of the theory are not affected by the C-deformation, the non(anti)commutativity parameter C receives one-loop perturbative corrections. These perturbative corrections are computed by performing an explicit one-loop calculation of the three and four-point functions of the theory. The running of the non(anti)commutativity parameter C is also studied using an appropriate Callan-Symanzik equation.