N=1 Supersymmetric QCD on the lattice using overlap fermions

TL;DR

This paper develops a lattice formulation of N=1 supersymmetric QCD using overlap fermions, preserving chiral symmetry and reducing counterterms, to facilitate nonperturbative studies of supersymmetric gauge theories.

Contribution

It introduces a novel lattice framework for SQCD with overlap fermions, incorporating chiral symmetry and auxiliary fields for Yukawa interactions, enabling nonperturbative analysis.

Findings

Constructed a chirally symmetric lattice action for SQCD.

Derived ultralocal interaction terms after integrating out auxiliary fields.

Established a foundation for future nonperturbative simulations of supersymmetric theories.

Abstract

Using N=1 Supersymmetric QCD (SQCD) as a prototype model, this work presents a formulation of overlap quarks and gluinos on the lattice, with particular emphasis on the construction of chirally symmetric Yukawa terms. By incorporating the Ginsparg-Wilson relation, chiral transformations, and the Majorana condition for gluinos, we construct a consistent framework that preserves a lattice-modified chiral symmetry and reduces the number of required counterterms compared to Wilson-type discretizations. The formulation introduces auxiliary fermionic fields to realize exact chiral symmetry in Yukawa interactions and enables a detailed analysis of the resulting matrix structures. Upon functionally integrating out the auxiliary fields, ultralocal interaction terms emerge as new contributions to the lattice action. This approach provides a robust foundation for nonperturbative lattice studies of supersymmetric gauge theories. Future work will focus on computing all perturbative fine-tunings required in this formulation to enable continuum matching and numerical simulations of SQCD.