The Study of the Continuum Limit of the Supersymmetric Ward-Takahashi Identity for N=1 Super Yang-Mills Theory

TL;DR

This paper investigates one-loop corrections to the supersymmetric Ward-Takahashi identity in discretized N=1 Super Yang-Mills theory, focusing on continuum limit behavior and supercurrent renormalization.

Contribution

It provides a detailed analysis of the continuum limit and renormalization of the supercurrent in lattice N=1 SYM, advancing understanding of supersymmetry restoration.

Findings

One-loop corrections to the WTi are computed.

The continuum limit behavior of the supercurrent is characterized.

Renormalization procedures for the supercurrent are outlined.

Abstract

The one-loop corrections to the supersymmetric Ward-Takahashi identity (WTi) are investigated in the off-shell regime in the Wilson formulation of the discretized N=1 Super Yang-Mills (SYM) theory. The study of the continuum limit as well as the renormalization procedure for the supercurrent are presented.