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Real-time Fermions for Baryogenesis Simulations · Around

2011

Real-time Fermions for Baryogenesis Simulations

Saffin, Paul M., Tranberg, Anders

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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.

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