Comments on the role of field redefinition on renormalisation of $N=\frac{1}{2}$ supersymmetric pure gauge theory

Abstract

We study one loop corrections to $N=\frac{1}{2}$ supersymmetric $SU(N)\times U(1)$ pure gauge theory. We calculate divergent contributions of the 1PI graphs contain the non-anti-commutative parameter $C$ up to one loop corrections. We find the disagreement between component formalism and superspace formalism is because of the field redefinition in component case. We modify gaugino field redefinition and lagrangian. We show extra terms of lagrangian have been generated by $\lambda$ redefinition and are necessary for the renormalisation of the theory. Finally we prove $N=\frac{1}{2}$ supersymmetric gauge theory is renormalisable up one loop corrections using standard method of renormalisation

References in corpus (3)

• The one-loop renormalization of the gauge sector in the noncommutative standard model
• One-loop renormalisation of N=1/2 supersymmetric gauge theory with a superpotential
• Renormalisation of the non-anticommutativity parameter at two loops

Cited by in corpus (1)

• The role of field redefinition on renormalisability of a general $N=\frac{1}{2}$ supersymmetric gauge theories