Spectral Triples in Particle Physics

We give an overview of the approach to the Standard Model of Particle Physics and its extensions based on the Noncommutative Geometry. The notion of spectral triples is introduced and their applications in particle physics are presented. We revisit known results based on different approaches within...

Full description

Bibliographic Details
Main Author: Bochniak Arkadiusz
Format: Article
Language:English
Published: EDP Sciences 2018-01-01
Series:EPJ Web of Conferences
Online Access:https://doi.org/10.1051/epjconf/201817709003
id doaj-b015ce25b34f43f9b6991aad5fd52bd1
record_format Article
spelling doaj-b015ce25b34f43f9b6991aad5fd52bd12021-08-02T09:46:55ZengEDP SciencesEPJ Web of Conferences2100-014X2018-01-011770900310.1051/epjconf/201817709003epjconf_ayss2018_09003Spectral Triples in Particle PhysicsBochniak ArkadiuszWe give an overview of the approach to the Standard Model of Particle Physics and its extensions based on the Noncommutative Geometry. The notion of spectral triples is introduced and their applications in particle physics are presented. We revisit known results based on different approaches within Noncommutative Geometry, list problems which appeared in these methods, propose possible solutions and indicate future directions of research.https://doi.org/10.1051/epjconf/201817709003
collection DOAJ
language English
format Article
sources DOAJ
author Bochniak Arkadiusz
spellingShingle Bochniak Arkadiusz
Spectral Triples in Particle Physics
EPJ Web of Conferences
author_facet Bochniak Arkadiusz
author_sort Bochniak Arkadiusz
title Spectral Triples in Particle Physics
title_short Spectral Triples in Particle Physics
title_full Spectral Triples in Particle Physics
title_fullStr Spectral Triples in Particle Physics
title_full_unstemmed Spectral Triples in Particle Physics
title_sort spectral triples in particle physics
publisher EDP Sciences
series EPJ Web of Conferences
issn 2100-014X
publishDate 2018-01-01
description We give an overview of the approach to the Standard Model of Particle Physics and its extensions based on the Noncommutative Geometry. The notion of spectral triples is introduced and their applications in particle physics are presented. We revisit known results based on different approaches within Noncommutative Geometry, list problems which appeared in these methods, propose possible solutions and indicate future directions of research.
url https://doi.org/10.1051/epjconf/201817709003
work_keys_str_mv AT bochniakarkadiusz spectraltriplesinparticlephysics
_version_ 1721234468149133312