Related papers: Quantum Fluctuations and New Instantons I: Linear Unbounded Potential

Quantum Fluctuations and New Instantons I: Linear Unbounded Potential

URL: http://arxiv.org/abs/2009.12445v1
Date: Fri, 25 Sep 2020 21:52:55 GMT
Title: Quantum Fluctuations and New Instantons I: Linear Unbounded Potential
Authors: Viatcheslav Mukhanov, Eliezer Rabinovici, Alexander Sorin
Abstract summary: We consider the decay of a false vacuum in circumstances where the methods suggested by Coleman run into difficulties. We find that in these cases quantum fluctuations play a crucial role.
Score: 70.69560009755851
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Abstract: We consider the decay of a false vacuum in circumstances where the methods suggested by Coleman run into difficulties. We find that in these cases quantum fluctuations play a crucial role. Namely, they naturally induce both an ultraviolet and infrared cutoff scales, determined by the parameters of the classical solution, beyond which this solution cannot be trusted anymore. This leads to the appearance of a broad class of new $O(4)$ invariant instantons, which would have been singular in the absence of an ultraviolet cutoff. We apply our results to a case where the potential is unbounded from below in a linear way and in particular show how the problem of small instantons is resolved by taking into account the inevitable quantum fluctuations.

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