Real-time Fermions for Baryogenesis Simulations

Abstract

We study how to numerically simulate quantum fermions out of thermal equilibrium, in the context of electroweak baryogenesis. We find that by combining the lattice implementation of Aarts and Smit [1] with the "low cost" fermions of Borsanyi and Hindmarsh [2], we are able to describe the dynamics of a classical bosonic system coupled to quantum fermions, that correctly reproduces anomalous baryon number violation. To demonstrate the method, we apply it to the 1+1 dimensional axial U(1) model, and perform simulations of a fast symmetry breaking transition. Compared to solving all the quantum mode equations as in [1], we find that this statistical approach may lead to a significant gain in computational time, when applied to 3+1 dimensional physics.

25 pages, 17 figures

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• Low-cost fermions in classical field simulations
• Sizable CP Violation in the Bosonized Standard Model
• Simulations of Cold Electroweak Baryogenesis: Dependence on Higgs mass and strength of CP-violation
• CP violation in the effective action of the Standard Model
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• The Decay of the Standard Model Higgs after Inflation
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• Stochastic Background of Gravitational Waves from Fermions -- Theory and Applications
• Formulation of the Schwinger mechanism in classical statistical field theory
• Temperature Dependence of Standard Model CP Violation
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• Computing the temperature dependence of effective CP violation in the standard model
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• Amplified Fermion Production from Overpopulated Bose Fields
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• Simulations of a bubble wall interacting with an electroweak plasma
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