Study of sphaleron transitions by means of the real-time Langevin equation
- 15 July 1991
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 44 (2) , 519-527
- https://doi.org/10.1103/physrevd.44.519
Abstract
Microscopic Langevin evolution is introduced in Abelian gauge field theory. It is studied numerically in the (1 + 1)-dimensional Abelian Higgs model at finite temperature. The Brownian behavior of the Chern-Simons number is established. Sharp transitions between the classical vacua with different Chern-Simons numbers are observed. The rate of these transitions depends exponentially on the temperature, indicating the relevance of the thermal activation theory involving the sphaleron saddle point.Keywords
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