About the Coleman Instantons in D Dimensions
High Energy Physics - Theory
2022-03-09 v1 General Relativity and Quantum Cosmology
High Energy Physics - Phenomenology
Mathematical Physics
math.MP
Quantum Physics
Abstract
We identify an infinite class of unbounded potentials for which the Coleman instantons do not exist in D-dimensional spacetime. For such potentials, the decay of a false vacuum is described by the new instantons introduced in [5,6,4]. For each spacetime dimension D, we also construct the two different classes of potentials for which the instanton equations are exactly solvable.
Keywords
Cite
@article{arxiv.2111.13928,
title = {About the Coleman Instantons in D Dimensions},
author = {Viatcheslav Mukhanov and Alexander Sorin},
journal= {arXiv preprint arXiv:2111.13928},
year = {2022}
}
Comments
5 pages, LaTeX