The University of Southampton
University of Southampton Institutional Repository

False vacuum decay: Effective one loop action for pair creation of domain walls

False vacuum decay: Effective one loop action for pair creation of domain walls
False vacuum decay: Effective one loop action for pair creation of domain walls
An effective one-loop action built from the soliton field itself for the two-dimensional (2D) problem of soliton pair creation is proposed. The action consists of the usual mass term and a kinetic term in which the simple derivative of the soliton field is replaced by a covariant derivative. In this effective action the soliton charge is treated no longer as a topological charge but as a Noether charge. Using this effective one-loop action, the soliton–antisoliton pair production rate Γ/L=A  exp[−S0] is calculated and one recovers Stone’s exponential factor 𝑆0 and the prefactor A of Kiselev, Selivanov, and Voloshin. The results are also valid straightforwardly to the problem of pair creation rate of domain walls in dimensions D⩾3.
Dias, Oscar J.C.
f01a8d9b-9597-4c32-9226-53a6e5500a54
Lemos, Jose P.S.
4e94199c-42b9-4592-9da9-f5035913088c
Dias, Oscar J.C.
f01a8d9b-9597-4c32-9226-53a6e5500a54
Lemos, Jose P.S.
4e94199c-42b9-4592-9da9-f5035913088c

Dias, Oscar J.C. and Lemos, Jose P.S. (2001) False vacuum decay: Effective one loop action for pair creation of domain walls. J.Math.Phys., 42, [3292]. (doi:10.1063/1.1380442).

Record type: Article

Abstract

An effective one-loop action built from the soliton field itself for the two-dimensional (2D) problem of soliton pair creation is proposed. The action consists of the usual mass term and a kinetic term in which the simple derivative of the soliton field is replaced by a covariant derivative. In this effective action the soliton charge is treated no longer as a topological charge but as a Noether charge. Using this effective one-loop action, the soliton–antisoliton pair production rate Γ/L=A  exp[−S0] is calculated and one recovers Stone’s exponential factor 𝑆0 and the prefactor A of Kiselev, Selivanov, and Voloshin. The results are also valid straightforwardly to the problem of pair creation rate of domain walls in dimensions D⩾3.

This record has no associated files available for download.

More information

e-pub ahead of print date: 18 July 2001
Published date: 1 August 2001
Additional Information: © 2001 American Institute of Physics

Identifiers

Local EPrints ID: 467698
URI: http://eprints.soton.ac.uk/id/eprint/467698
PURE UUID: 5aa2fb9e-e49c-4d7a-b06f-ec5ebcf1ea8e
ORCID for Oscar J.C. Dias: ORCID iD orcid.org/0000-0003-4855-4750

Catalogue record

Date deposited: 19 Jul 2022 16:53
Last modified: 20 Jul 2022 01:48

Export record

Altmetrics

Contributors

Author: Oscar J.C. Dias ORCID iD
Author: Jose P.S. Lemos

Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton: eprints@soton.ac.uk

ePrints Soton supports OAI 2.0 with a base URL of http://eprints.soton.ac.uk/cgi/oai2

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.

×