The numerical approach to quantum field theory in a non-commutative space

TL;DR

This paper reviews numerical Monte Carlo methods used to study quantum field theories in non-commutative spaces and their applications to supersymmetric theories, highlighting recent advances and results.

Contribution

It introduces recent numerical techniques and results for non-commutative quantum field theories and their extension to supersymmetric models.

Findings

Monte Carlo simulations provide insights into non-perturbative aspects

Numerical techniques have been successfully applied to supersymmetric theories

Implications of non-commutative models are discussed

Abstract

Numerical simulation is an important non-perturbative tool to study quantum field theories defined in non-commutative spaces. In this contribution, a selection of results from Monte Carlo calculations for non-commutative models is presented, and their implications are reviewed. In addition, we also discuss how related numerical techniques have been recently applied in computer simulations of dimensionally reduced supersymmetric theories.