Chern-Simons number diffusion in (1+1)-dimensional Higgs theory

Abstract

We study the Chern-Simons number diffusion rate in the (1+1)-dimensional latticeAbelian Higgs model at temperatures much higher than, as well as comparable to, the sphaleron energy. It is found that in the high-temperature limit the rate is likely to grow as power 2/3 of the temperature. In the intermediate-temperature regime, our numerical simulations show that very weak temperature dependence of the rate, found in previous work, persists at smaller lattice spacings. We discuss possibilities of relating the observed behavior of the rate to static finite-temperature properties of the model.

9 pages, LATeX + 4 figures included as postscript files, to be encapsulated using epsf. Text + figures uuencoded. Also available as a compressed postscript file by anonymous ftp from maggia.ethz.ch (login ftp, pw ftp; then: cd pub, binary, get ahm.ps.Z). IPS Research Report No. 94-09

References in corpus (5)

• Sphaleron transitions in a realistic heat bath
• Decoupling in Non-Perturbative Background Fields: the Thermal Sphaleron
• Sphaleron-Like Processes in a Realistic Heat Bath
• Fermion Back-Reaction and the Sphaleron
• Topological Features in a Two-Dimensional Higgs Model

Cited by in corpus (12)

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• Really Computing Non-perturbative Real Time Correlation Functions
• Finiteness of Hot Classical Scalar Field Theory and the Plasmon Damping Rate
• Real-Time Dynamics with Fermions on a Lattice
• Phase transition dynamics in the hot Abelian Higgs model
• Thermalization algorithms for classical gauge theories
• Numerical study of plasmon properties in the SU(2)-Higgs model
• High Temperature Behavior of the Chern-Simons Diffusion Rate in the 1+1 D Abelian Higgs Model
• The electroweak sphaleron on the lattice
• Sphaleron Transition Rate in Presence of Dynamical Fermions
• Sphaleron rate at high temperature in 1+1 dimensions