Fate of false vacuum in nonperturbative regimes: Gravity effects
Abstract
A formalism to describe the falsevacuum decay in nonperturbative regimes was proposed recently. Here, we extend it to the presence of Einstein gravity and calculate the corresponding effective potential and decay rate for a $\lambda \phi^4$ scalar field theory. A comparison with the usual perturbative decay rate shows that the higher the coupling $\lambda$, the greater the decay probability. From the running of the selfinteraction coupling, we conclude that the theory becomes weakly coupled in the infrared limit, which proves that Einstein gravity made the weak coupling approximation even more reliable as the universe cooled down. We comment on future applications of these results to cosmological phase transitions, gravitationalwave astronomy, and condensed matter systems.
 Publication:

arXiv eprints
 Pub Date:
 June 2022
 arXiv:
 arXiv:2206.09965
 Bibcode:
 2022arXiv220609965C
 Keywords:

 High Energy Physics  Theory;
 Astrophysics  Cosmology and Nongalactic Astrophysics;
 Astrophysics  High Energy Astrophysical Phenomena;
 General Relativity and Quantum Cosmology;
 High Energy Physics  Phenomenology
 EPrint:
 13 pages, 2 figures