Journal article 525 views
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 |
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| ISSN: | 1029-8479 |
| Published: |
2014
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| Online Access: |
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| URI: | https://cronfa.swan.ac.uk/Record/cronfa40252 |
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| 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. |
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| Keywords: |
Robertson-Walker metric, spectral action, heat expansion, Dirac operator, rationality |
| College: |
Faculty of Science and Engineering |
| Issue: |
12 |