Topological transitions at finite temperatures: A real time numerical approach

We study topological transitions at finite temperatures within the (1 + 1)-dimensional abelian Higgs model by a numerical simulation in real time. Basic ideas of the real-time approach are presented and some peculiarities of the Metropolis technique are discussed. It is argued that the processes lea...

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Bibliographic Details
Published in:Nuclear physics. B 1989-11, Vol.326 (3), p.737-757
Main Authors: Grigoriev, D.Yu, Rubakov, V.A., Shaposhnikov, M.E.
Format: Article
Language:English
Subjects:
Classical and quantum physics: mechanics and fields
Exact sciences and technology
Physics
Theory of quantized fields
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Summary:We study topological transitions at finite temperatures within the (1 + 1)-dimensional abelian Higgs model by a numerical simulation in real time. Basic ideas of the real-time approach are presented and some peculiarities of the Metropolis technique are discussed. It is argued that the processes leading to topological transitions are of classical origin; the transitions can be observed by solving the classical field equations in real time. We show that the topological transitions actually pass via the sphaleron configuration. The transition rate as a function of temperature is found to be in good agreement with the analytical predictions. No extra suppression of the rate is observed. The conditions of applicability of our approach are discussed. The temperature interval where the low-temperature broken phase persists is estimated.
ISSN:0550-3213
1873-1562
DOI:10.1016/0550-3213(89)90553-1