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2020

Quantum Fluctuations and New Instantons I: Linear Unbounded Potential

Mukhanov, Viatcheslav, Rabinovici, Eliezer, Sorin, Alexander

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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.

Quantum Fluctuations and New Instantons I: Linear Unbounded Potential · Around

Built on

T. Banks, C. M. Bender and T. T. Wu, Coupled anharmonic oscillators. 1. Equal mass case
1973
Earlier work this paper cites.
I. Y. Kobzarev, L. B. Okun and M. B. Voloshin, Bubbles in Metastable Vacuum
1974
Earlier work this paper cites.
S. R. Coleman, The Fate of the False Vacuum. 1. Semiclassical Theory
1977
Earlier work this paper cites.

Similar

S. R. Coleman, V. Glaser and A. Martin, Action Minima Among Solutions to a Class of Euclidean Scalar Field Equations
1978
Cited alongside, same era.
V. Mukhanov, Physical Foundations of Cosmology
2005
Cited alongside, same era.
V. Mukhanov, S. Winitzki, Introduction to Quantum Effects in Gravity
2007
Cited alongside, same era.

Then

E. Weinberg, Classical Solutions in Quantum Field Theory: Solitons and Instantons in High Energy Physics
2012
Later among the works it cites.
V. F. Mukhanov, E. Rabinovici, A. S. Sorin, Quantum Fluctuations and New Instantons II: Quartic Unbounded Potential
2020
Closest in time.

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