Mean lifetime of a false vacuum in terms of the KrylovFock nonescape probability
Abstract
The KrylovFock expression of nondecay (or survival) probability, which allows one to evaluate the deviations from the exponential decay law (nowadays well established experimentally), is more informative as it readily provides the distribution function for the lifetime as a random quantity. Guided by the well established formalism for describing nuclear alpha decay, we use this distribution function to figure out the mean value of the lifetime and its fluctuation rate. This theoretical framework is of considerable interest inasmuch as it allows an experimental verification. Next, we apply the KrylovFock approach to the decay of a metastable state at a finite temperature in the framework of thermofield dynamics. In contrast to the existing formalism, this approach shows the interference effect between the tunnelings from different metastable states as well as between the tunneling and the barrier hopping. This effect looks quite natural in the framework of a consistent quantum mechanical description as a manifestation of the "doubleslit experiment." In the end we discuss the field theory applications of the results obtained.
 Publication:

Physical Review D
 Pub Date:
 October 2020
 DOI:
 10.1103/PhysRevD.102.076006
 arXiv:
 arXiv:2006.00764
 Bibcode:
 2020PhRvD.102g6006M
 Keywords:

 High Energy Physics  Theory;
 High Energy Physics  Phenomenology
 EPrint:
 14 pages