On Asymmetric Chern-Simons Number Diffusion

Abstract

We show that CP-violation can lead to an asymmetric diffusion of the Chern-Simons number in thermal equilibrium. This asymmetry leads to a linearly growing expectation value of the third power of the Chern-Simons number. In the long-time limit all expectation values of powers of Chern-Simon numbers are determined by their appropriate disconnected parts.

Baryon asymmetry from electroweak tachyonic preheating

“…This may bias the initial distribution into an asymmetric form that still has zero average baryon number. See also[47,48] 2. In this appendix we use summation convention for the group indices a, b, .…”