Real-time fermions for baryogenesis simulations
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 d...
| Main Authors: | , |
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| Format: | Article |
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Springer
2011
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| Online Access: | https://eprints.nottingham.ac.uk/42136/ |
| _version_ | 1848796428294422528 |
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| author | Saffin, Paul M. Tranberg, Anders |
| author_facet | Saffin, Paul M. Tranberg, Anders |
| author_sort | Saffin, Paul M. |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-14T19:47:49Z |
| format | Article |
| id | nottingham-42136 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T19:47:49Z |
| publishDate | 2011 |
| publisher | Springer |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-421362020-05-04T16:30:53Z https://eprints.nottingham.ac.uk/42136/ Real-time fermions for baryogenesis simulations Saffin, Paul M. Tranberg, Anders 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. Springer 2011-07-14 Article PeerReviewed Saffin, Paul M. and Tranberg, Anders (2011) Real-time fermions for baryogenesis simulations. Journal of High Energy Physics, 2011 (7). 066. ISSN 1029-8479 http://link.springer.com/article/10.1007%2FJHEP07%282011%29066 doi:10.1007/JHEP07(2011)066 doi:10.1007/JHEP07(2011)066 |
| spellingShingle | Saffin, Paul M. Tranberg, Anders Real-time fermions for baryogenesis simulations |
| title | Real-time fermions for baryogenesis simulations |
| title_full | Real-time fermions for baryogenesis simulations |
| title_fullStr | Real-time fermions for baryogenesis simulations |
| title_full_unstemmed | Real-time fermions for baryogenesis simulations |
| title_short | Real-time fermions for baryogenesis simulations |
| title_sort | real-time fermions for baryogenesis simulations |
| url | https://eprints.nottingham.ac.uk/42136/ https://eprints.nottingham.ac.uk/42136/ https://eprints.nottingham.ac.uk/42136/ |