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2021

Instantons with Quantum Core

Mukhanov, Viatcheslav, Sorin, Alexander

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We consider new instantons that appear as a result of accounting for quantum fluctuations.

These fluctuations naturally regularize the O(4) singular solutions abandoned in Coleman's theory.
In the previous works [3,4] we showed how new instantons modify the widely accepted picture of false vacuum decay in two particular examples of exactly solvable potentials.
Here we generalize our consideration to arbitrary potentials and provide a general theory of these new instantons with quantum cores in which vacuum fluctuations dominate.

Instantons with Quantum Core · Around

Built on

S. R. Coleman, The Fate of the False Vacuum. Semiclassical Theory
1977
Earlier work this paper cites.
S. R. Coleman, V. Glaser, and A. Martin, Action Minima Among Solutions to a Class of Euclidean Scalar Field Equations
1978
Earlier work this paper cites.

Similar

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.
V. F. Mukhanov, A. S. Sorin, On the Existence of the Coleman Instantons
Original
Cited in the paper.

Then

V. F. Mukhanov, E. Rabinovici, A. S. Sorin, Quantum Fluctuations and New Instantons II: Quartic Unbounded Potential
Original
2009
Later among the works it cites.
V. F. Mukhanov, E. Rabinovici, A. S. Sorin, Quantum Fluctuations and New Instantons I: Linear Unbounded Potential
Original
2009
Later among the works it cites.

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