Preprint PUBDB-2022-04668

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Tunneling Potential Actions from Canonical Transformations

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2022

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Report No.: DESY-22-147; IFT-UAM/CSIC-22-99; arXiv:2209.03293

Abstract: A new formulation for obtaining the tunneling action for vacuum decay based on the so-called tunneling potential was developed recently. In the original derivation, the new action was obtained by requiring that its variation led to the correct equations of motion and the same value for the action as evaluated on the Euclidean bounce. We present an alternative derivation of the tunneling potential action via canonical transformations. We discuss both single-field and multi-field cases as well as the case with gravity. We also comment on the possible application of the new approach to the calculation of the functional determinant prefactor in the tunneling rate.

Keyword(s): transformation, canonical ; tunneling ; determinant ; gravitation ; field equations ; Euclidean ; bounce


Note: 15 pages

Contributing Institute(s):
  1. Theorie-Gruppe (T)
Research Program(s):
  1. 611 - Fundamental Particles and Forces (POF4-611) (POF4-611)
Experiment(s):
  1. No specific instrument

Appears in the scientific report 2022
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Creative Commons Attribution CC BY 4.0 ; OpenAccess ; Published
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http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Journal Article  ;  ;
Tunneling potential actions from canonical transformations
Journal of cosmology and astroparticle physics 02(02), 021 () [10.1088/1475-7516/2023/02/021]  GO arXiv  Download fulltext Files  Download fulltextFulltext by arXiv.org BibTeX | EndNote: XML, Text | RIS


 Record created 2022-09-03, last modified 2023-05-10