Asymmetric Chern-Simons number diffusion from CP-violation

Details Asymmetric Chern-Simons number diffusion from CP-violation Asymmetric Chern-Simons number diffusion from CP-violation

2002-02-12

arxiv.org/abs/hep-ph/0202115v1

Nucl.Phys. B635 (2002) 255-285

Physics

High Energy Physics

High Energy Physics - Phenomenology

26 pages, 4 figures

Scientific paper

We study Chern-Simons number diffusion in a SU(2)-Higgs model with CP-odd dimension-eight operators. We find that the thermal average of the magnitude of the velocity of the Chern-Simons number depends on the direction of the velocity. This implies that the distribution function of the Chern-Simons number will develop an asymmetry. It is argued that this asymmetry manifests itself through a linear growth of the expectation value of the third power of the Chern-Simons number. This linear behavior of the third power of a coordinate of a periodic direction is verified by a numerical solution of a one-dimensional Langevin equation. Further, we make some general remarks on thermal averages and on the possibility of the generation of the baryon asymmetry in a non-equilibrium situation due to asymmetric diffusion of the Chern-Simons number.

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