Towards the Super Yang-Mills Theory on the Lattice

TL;DR

This paper introduces a novel lattice formulation for supersymmetric Yang-Mills theory using staggered fermions and specific plaquette arrangements, maintaining fermionic symmetries.

Contribution

It proposes a new lattice action that preserves fermionic symmetries, advancing the simulation of supersymmetric gauge theories.

Findings

Fermionic symmetries relate fermion and link variables.

The lattice action maintains key supersymmetric features.

New approach facilitates non-perturbative studies of supersymmetric theories.

Abstract

We present an entirely new approach towards a realization of the supersymmetric Yang-Mills theory on the lattice. The action consists of the staggered fermion and the plaquette variables distributed in the Euclidean space with a particular pattern. The system is shown to have fermionic symmetries relating the fermion and the link variables.