SUSY Ward identities in N=1 SYM theory on the lattice

TL;DR

This paper investigates the SUSY Ward identities in N=1 SU(2) supersymmetric Yang-Mills theory on the lattice, using Monte Carlo simulations to determine key renormalization constants non-perturbatively.

Contribution

It provides a non-perturbative determination of the renormalization and mixing constants of the lattice SUSY current and gluino mass in N=1 SYM theory.

Findings

Non-perturbative ratios of renormalization constants determined

Ratios $Z_T/Z_S$ and $m_S/Z_S$ obtained at specific coupling and hopping parameters

Method applicable for analyzing SUSY Ward identities on the lattice

Abstract

The SUSY Ward identities (WIs) for the N=1 SU(2) SUSY Yang Mills theory discretized on the lattice with Wilson fermions (gluinos) are considered. The study is performed in the framework of a Monte Carlo simulation of the model with light dynamical gluinos. The renormalization and mixing constants of the lattice SUSY current $Z_S$ and $Z_T$ and the additively renormalized gluino mass $m_S$ are unknown parameters of the SUSY WIs. Using suitable on-shell combinations of the WIs, the ratios $Z_T/Z_S$ and $m_S/Z_S$ are determined non-perturbatively at one value of the coupling constant $g_0$ and two values of the hopping parameter $\kappa$.