Ruelle Zeta Function from Field Theory

We propose a field-theoretic interpretation of Ruelle zeta function and show how it can be seen as the partition function for BF theory when an unusual gauge-fixing condition on contact manifolds is imposed. This suggests an alternative rephrasing of a conjecture due to Fried on the equivalence betw...

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Detalles Bibliográficos
Autores principales: Hadfield, Charles, Kandel, Santosh, Schiavina, Michele
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2020
Materias:
Original Paper
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7652748/
https://www.ncbi.nlm.nih.gov/pubmed/33192168
http://dx.doi.org/10.1007/s00023-020-00964-8
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author Hadfield, Charles
Kandel, Santosh
Schiavina, Michele
author_facet Hadfield, Charles
Kandel, Santosh
Schiavina, Michele
author_sort Hadfield, Charles
collection PubMed
description We propose a field-theoretic interpretation of Ruelle zeta function and show how it can be seen as the partition function for BF theory when an unusual gauge-fixing condition on contact manifolds is imposed. This suggests an alternative rephrasing of a conjecture due to Fried on the equivalence between Ruelle zeta function and analytic torsion, in terms of homotopies of Lagrangian submanifolds.
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spelling pubmed-76527482020-11-12 Ruelle Zeta Function from Field Theory Hadfield, Charles Kandel, Santosh Schiavina, Michele Ann Henri Poincare Original Paper We propose a field-theoretic interpretation of Ruelle zeta function and show how it can be seen as the partition function for BF theory when an unusual gauge-fixing condition on contact manifolds is imposed. This suggests an alternative rephrasing of a conjecture due to Fried on the equivalence between Ruelle zeta function and analytic torsion, in terms of homotopies of Lagrangian submanifolds. Springer International Publishing 2020-10-06 2020 /pmc/articles/PMC7652748/ /pubmed/33192168 http://dx.doi.org/10.1007/s00023-020-00964-8 Text en © The Author(s) 2020 Open AccessThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
spellingShingle Original Paper
Hadfield, Charles
Kandel, Santosh
Schiavina, Michele
Ruelle Zeta Function from Field Theory
title Ruelle Zeta Function from Field Theory
title_full Ruelle Zeta Function from Field Theory
title_fullStr Ruelle Zeta Function from Field Theory
title_full_unstemmed Ruelle Zeta Function from Field Theory
title_short Ruelle Zeta Function from Field Theory
title_sort ruelle zeta function from field theory
topic Original Paper
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7652748/
https://www.ncbi.nlm.nih.gov/pubmed/33192168
http://dx.doi.org/10.1007/s00023-020-00964-8
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AT kandelsantosh ruellezetafunctionfromfieldtheory
AT schiavinamichele ruellezetafunctionfromfieldtheory

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