# An Algorithm for Gluinos on the Lattice

## TL;DR

This paper presents a novel Monte Carlo algorithm for simulating supersymmetric Yang-Mills theories with fermions on the lattice, combining L"uscher's local bosonic approach with polynomial correction steps.

## Contribution

It introduces a new algorithm that enhances lattice simulations of fermionic theories, potentially outperforming traditional molecular dynamics methods.

## Key findings

- The algorithm is promising and competitive with existing methods.
- Application of polynomial approximation schemes to hopping parameter expansions.
- Discussion on optimizing the polynomial approximation for fermionic simulations.

## Abstract

L\"uscher's local bosonic algorithm for Monte Carlo simulations of quantum field theories with fermions is applied to the simulation of a possibly supersymmetric Yang-Mills theory with a Majorana fermion in the adjoint representation. Combined with a correction step in a two-step polynomial approximation scheme, the obtained algorithm seems to be promising and could be competitive with more conventional algorithms based on discretized classical (``molecular dynamics'') equations of motion. The application of the considered polynomial approximation scheme to optimized hopping parameter expansions is also discussed.