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Real-time fermions for baryogenesis simulations

Saffin, Paul M.; Tranberg, Anders

Authors

Paul M. Saffin

Anders Tranberg



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.

Journal Article Type Article
Publication Date Jul 14, 2011
Journal Journal of High Energy Physics
Electronic ISSN 1029-8479
Publisher Humana Press
Peer Reviewed Peer Reviewed
Volume 2011
Issue 7
Institution Citation Saffin, P. M., & Tranberg, A. (2011). Real-time fermions for baryogenesis simulations. Journal of High Energy Physics, 2011(7), doi:10.1007/JHEP07(2011)066
DOI https://doi.org/10.1007/JHEP07%282011%29066
Publisher URL http://link.springer.com/article/10.1007%2FJHEP07%282011%29066
Copyright Statement Copyright information regarding this work can be found at the following address: http://eprints.nottingh.../end_user_agreement.pdf

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Copyright Statement
Copyright information regarding this work can be found at the following address: http://eprints.nottingham.ac.uk/end_user_agreement.pdf





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