Regularization Independent Analysis of the Origin of Two Loop Contributions to N=1 Super Yang-Mills Beta Function

TL;DR

This paper provides a regularization-independent analysis of the two-loop beta function in N=1 Super Yang-Mills theory, demonstrating the cancellation of divergences and the infrared origin of the beta function contributions.

Contribution

It introduces a symmetry-preserving, regularization-independent method to analyze the two-loop beta function in N=1 Super Yang-Mills theory, clarifying divergence cancellations.

Findings

Ultraviolet and infrared divergences cancel out in the analysis.

The beta function receives contributions from infrared modes.

The method preserves symmetries throughout the calculation.

Abstract

We present a both ultraviolet and infrared regularization independent analysis in a symmetry preserving framework for the N=1 Super Yang-Mills beta function to two loop order. We show explicitly that off-shell infrared divergences as well as the overall two loop ultraviolet divergence cancel out whilst the beta function receives contributions of infrared modes.