Exact one-loop false vacuum decay rate
Autor: | Miha Nemevšek, Victor Guada |
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Rok vydání: | 2020 |
Předmět: |
High Energy Physics - Theory
Physics Mathematical analysis Zero (complex analysis) FOS: Physical sciences General Relativity and Quantum Cosmology (gr-qc) General Relativity and Quantum Cosmology Riemann zeta function Loop (topology) Maxima and minima High Energy Physics - Phenomenology symbols.namesake High Energy Physics - Phenomenology (hep-ph) High Energy Physics - Theory (hep-th) symbols Functional determinant Scalar field Eigenvalues and eigenvectors False vacuum |
Zdroj: | Physical Review |
ISSN: | 2470-0029 2470-0010 |
DOI: | 10.1103/physrevd.102.125017 |
Popis: | We discuss an exact false vacuum decay rate at one loop for a real and complex scalar field in a quartic-quartic potential with two tree-level minima. The bounce solution is used to compute the functional determinant from both fluctuations. We obtain the finite product of eigenvalues and remove translational zero modes. The orbital modes are regularized with the zeta function and we end up with a complete renormalized decay rate. We derive simple expansions in the thin and thick wall limits and determine their validity. Comment: 34 pages, 2 figures, ancillary Mathematica notebook, v2: title change, added figure, references and explanations, accepted for publication in Phys. Rev. D |
Databáze: | OpenAIRE |
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