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Rationality of spectral action for Robertson-Walker metrics

Farzad Fathizadeh, Asghar Ghorbanpour, Masoud Khalkhali, Farzad Fathi Zadeh

Journal of High Energy Physics, Volume: 2014, Issue: 12

Swansea University Author: Farzad Fathi Zadeh

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DOI (Published version): 10.1007/JHEP12(2014)064

Abstract

We use parametric pseudodifferential calculus to prove a conjecture by A. Connes and A. Chamseddine: we show that each term in the heat kernel expansion of the Dirac-Laplacian of a Robertson-Walker metric is described a several variable polynomial with rational coefficients.

Published in: Journal of High Energy Physics
ISSN: 1029-8479
Published: 2014
Online Access: Check full text

URI: https://cronfa.swan.ac.uk/Record/cronfa40252
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spelling 2019-05-10T19:12:25.4981804 v2 40252 2018-05-17 Rationality of spectral action for Robertson-Walker metrics c1859f5040a279bcd3fa991d8f6e7f21 Farzad Fathi Zadeh Farzad Fathi Zadeh true false 2018-05-17 MACS We use parametric pseudodifferential calculus to prove a conjecture by A. Connes and A. Chamseddine: we show that each term in the heat kernel expansion of the Dirac-Laplacian of a Robertson-Walker metric is described a several variable polynomial with rational coefficients. Journal Article Journal of High Energy Physics 2014 12 1029-8479 Robertson-Walker metric, spectral action, heat expansion, Dirac operator, rationality 9 12 2014 2014-12-09 10.1007/JHEP12(2014)064 COLLEGE NANME Mathematics and Computer Science School COLLEGE CODE MACS Swansea University 2019-05-10T19:12:25.4981804 2018-05-17T17:14:40.4509537 Faculty of Science and Engineering School of Mathematics and Computer Science - Mathematics Farzad Fathizadeh 1 Asghar Ghorbanpour 2 Masoud Khalkhali 3 Farzad Fathi Zadeh 4
title Rationality of spectral action for Robertson-Walker metrics
spellingShingle Rationality of spectral action for Robertson-Walker metrics
Farzad Fathi Zadeh
title_short Rationality of spectral action for Robertson-Walker metrics
title_full Rationality of spectral action for Robertson-Walker metrics
title_fullStr Rationality of spectral action for Robertson-Walker metrics
title_full_unstemmed Rationality of spectral action for Robertson-Walker metrics
title_sort Rationality of spectral action for Robertson-Walker metrics
author_id_str_mv c1859f5040a279bcd3fa991d8f6e7f21
author_id_fullname_str_mv c1859f5040a279bcd3fa991d8f6e7f21_***_Farzad Fathi Zadeh
author Farzad Fathi Zadeh
author2 Farzad Fathizadeh
Asghar Ghorbanpour
Masoud Khalkhali
Farzad Fathi Zadeh
format Journal article
container_title Journal of High Energy Physics
container_volume 2014
container_issue 12
publishDate 2014
institution Swansea University
issn 1029-8479
doi_str_mv 10.1007/JHEP12(2014)064
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Mathematics and Computer Science - Mathematics{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Mathematics and Computer Science - Mathematics
document_store_str 0
active_str 0
description We use parametric pseudodifferential calculus to prove a conjecture by A. Connes and A. Chamseddine: we show that each term in the heat kernel expansion of the Dirac-Laplacian of a Robertson-Walker metric is described a several variable polynomial with rational coefficients.
published_date 2014-12-09T07:24:44Z
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score 11.047674

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