Study of sphaleron transitions by means of the real time Langevin equation
Aug, 199034 pages
Published in:
- Phys.Rev.D 44 (1991) 519-527
Report number:
- TPI-MINN-90-51-T,
- IPS-90-19,
- IPS-REPORT-90-16
Citations per year
Abstract: (APS)
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.- field equations: sphaleron
- Langevin equation
- Higgs model: abelian
- dimension: 2
- finite temperature
- vacuum state
- fermion number: violation
- approximation: semiclassical
- numerical calculations: Monte Carlo
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