Heat Trace Asymptotics on Noncommutative Spaces

This is a mini-review of the heat kernel expansion for generalized Laplacians on various noncommutative spaces. Applications to the spectral action principle, renormalization of noncommutative theories and anomalies are also considered.

Bibliographic Details
Main Author: Dmitri V. Vassilevich
Format: Article
Language:English
Published: National Academy of Science of Ukraine 2007-09-01
Series:Symmetry, Integrability and Geometry: Methods and Applications
Subjects:
Online Access:http://www.emis.de/journals/SIGMA/2007/093/
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spelling doaj-e6066a1b16e74bcea7af35feb94604742020-11-24T21:29:59ZengNational Academy of Science of UkraineSymmetry, Integrability and Geometry: Methods and Applications1815-06592007-09-013093Heat Trace Asymptotics on Noncommutative SpacesDmitri V. VassilevichThis is a mini-review of the heat kernel expansion for generalized Laplacians on various noncommutative spaces. Applications to the spectral action principle, renormalization of noncommutative theories and anomalies are also considered. http://www.emis.de/journals/SIGMA/2007/093/heat trace asymptoticsnoncommutative field theory
collection DOAJ
language English
format Article
sources DOAJ
author Dmitri V. Vassilevich
spellingShingle Dmitri V. Vassilevich
Heat Trace Asymptotics on Noncommutative Spaces
Symmetry, Integrability and Geometry: Methods and Applications
heat trace asymptotics
noncommutative field theory
author_facet Dmitri V. Vassilevich
author_sort Dmitri V. Vassilevich
title Heat Trace Asymptotics on Noncommutative Spaces
title_short Heat Trace Asymptotics on Noncommutative Spaces
title_full Heat Trace Asymptotics on Noncommutative Spaces
title_fullStr Heat Trace Asymptotics on Noncommutative Spaces
title_full_unstemmed Heat Trace Asymptotics on Noncommutative Spaces
title_sort heat trace asymptotics on noncommutative spaces
publisher National Academy of Science of Ukraine
series Symmetry, Integrability and Geometry: Methods and Applications
issn 1815-0659
publishDate 2007-09-01
description This is a mini-review of the heat kernel expansion for generalized Laplacians on various noncommutative spaces. Applications to the spectral action principle, renormalization of noncommutative theories and anomalies are also considered.
topic heat trace asymptotics
noncommutative field theory
url http://www.emis.de/journals/SIGMA/2007/093/
work_keys_str_mv AT dmitrivvassilevich heattraceasymptoticsonnoncommutativespaces
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