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
1 August 2001
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).
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.
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e-pub ahead of print date: 18 July 2001
Published date: 1 August 2001
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© 2001 American Institute of Physics
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Local EPrints ID: 467698
URI: http://eprints.soton.ac.uk/id/eprint/467698
PURE UUID: 5aa2fb9e-e49c-4d7a-b06f-ec5ebcf1ea8e
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Date deposited: 19 Jul 2022 16:53
Last modified: 17 Mar 2024 03:35
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Author:
Jose P.S. Lemos
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