Particle physics from the noncommutative geometry point of view

TL;DR

This paper reviews recent advances in applying noncommutative geometry to gauge theories in particle physics, aiming to make the complex mathematics accessible to physicists.

Contribution

It simplifies the mathematical framework of noncommutative geometry to facilitate its application in particle physics research.

Findings

Noncommutative geometry provides a novel framework for gauge theories.

Simplified mathematical apparatus makes the field more accessible.

Potential implications for the Standard Model and beyond.

Abstract

Recent development in noncommutative geometry generalization of gauge theory is reviewed. The mathematical apparatus is reduced to minimum in order to allow the non-mathematically oriented physicists to follow the development in the interesting field of research. (Lectures presented at the Silesian School of Theoretical Physics: Standard Model and Beyond'93, Szczyrk (Poland), September 1993.)