Instantons with quantum core

  title={Instantons with quantum core},
  author={Vachiaslav F. Mukhanov and Alexander S. Sorin},
  journal={Journal of Cosmology and Astroparticle Physics},
We consider new instantons that appear as a result of accounting for quantum fluctuations. These fluctuations naturally regularize the π’ͺ(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… Expand
2 Citations
Pseudo-Bounces vs. New Instantons
Some false vacua do not decay via bounces. This usually happens when a flat direction of the tunneling action due to scale invariance is lifted to a sloping valley by a scale breaking perturbation,… Expand
Detailed Calculation of Primordial Black Hole Formation During First-Order Cosmological Phase Transitions
Michael J. Baker,1, βˆ— Moritz Breitbach,2, † Joachim Kopp,2, 3, ‑ and Lukas Mittnacht2, Β§ 1ARC Centre of Excellence for Dark Matter Particle Physics, School of Physics, The University of Melbourne,… Expand


Quantum Fluctuations and New Instantons I: Linear Unbounded Potential
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,… Expand
The Fate of the False Vacuum. 1. Semiclassical Theory
It is possible for a classical field theory to have two homogeneous stable equilibrium states with different energy densities. In the quantum version of the theory, the state of higher energy density… Expand
Introduction to Quantum Effects in Gravity
This book, first published in 2007, is an introductory textbook on quantum field theory in gravitational backgrounds intended for undergraduate and beginning graduate students in the fields of… Expand
On the existence of the Coleman instantons
We identify infinite classes of potentials for which the Coleman instantons do not exist. For these potentials, the decay of a false vacuum must be described by the new instantons introduced in [7,8].
Action minima among solutions to a class of Euclidean scalar field equations
We show that for a wide class of Euclidean scalar field equations, there exist non-trivial solutions, and the non-trivial solution of lowest action is spherically symmetric. This fills a gap in a… Expand
Quantum-Field-Theoretic Simulation Platform for Observing the Fate of the False Vacuum
A framework for simulating nonperturbative effects of field theory using a quantum annealer is presented and implemented.
Quantum Fluctuations and New Instantons II: Quartic Unbounded Potential
We study the fate of a false vacuum in the case of a potential that contains a portion which is quartic and unbounded. We first prove that an $O(4)$ invariant instanton with the Coleman boundary… Expand
Winitzki, Introduction to Quantum Effects in Gravity, Cambridge University Press (2007) [INSPIRE
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Physical Foundations of Cosmology, Cambridge University Press (2005) [INSPIRE
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