Exact one-loop false vacuum decay rate
High Energy Physics - Theory
2020-12-10 v2 General Relativity and Quantum Cosmology
High Energy Physics - Phenomenology
Abstract
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.
Keywords
Cite
@article{arxiv.2009.01535,
title = {Exact one-loop false vacuum decay rate},
author = {Victor Guada and Miha Nemevšek},
journal= {arXiv preprint arXiv:2009.01535},
year = {2020}
}
Comments
34 pages, 2 figures, ancillary Mathematica notebook, v2: title change, added figure, references and explanations, accepted for publication in Phys. Rev. D