Review of Non-Commutative Geometric Methods Applied to Particle Physics

TL;DR

This paper reviews how non-commutative geometry is used in particle physics, summarizing its basic elements, applications to the standard model, grand unification, and connections to supersymmetry, along with discussing its advantages and challenges.

Contribution

It provides a concise overview of non-commutative geometric methods in particle physics, highlighting recent developments and open problems.

Findings

Summarizes the construction of the standard model using non-commutative geometry.

Explores the link between space-time supersymmetry and non-commutative geometry.

Discusses advantages and unresolved issues in applying non-commutative geometry to particle physics.

Abstract

This is a brief review where some basic elements of non-commutative geometry are given. The rules and ingredients that enter in the construction of the standard model and grand unification models in non-commutative geometry are summarized. A connection between some space-time supersymmetric models and non-commutative geometry is made. The advantages and problems of this direction are discussed.