Journal article 830 views
Real-time dynamics with fermions on a lattice
,
Jan Smit
Nuclear Physics B, Volume: "B555", Issue: 1-2, Pages: 355 - 394
Swansea University Author:
Gert Aarts
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DOI (Published version): 10.1016/S0550-3213(99)00320-X
Abstract
The 1+1 dimensional abelian Higgs model with fermions is a toy model for the theory of electroweak baryogenesis. We study the dynamics of the model with axially coupled fermions in real-time. The model is defined on a spacetime lattice to preserve gauge invariance and to obtain numerical stability i...
| Published in: | Nuclear Physics B |
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| ISSN: | 05503213 |
| Published: |
1998
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| Online Access: |
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| URI: | https://cronfa.swan.ac.uk/Record/cronfa22622 |
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| Abstract: |
The 1+1 dimensional abelian Higgs model with fermions is a toy model for the theory of electroweak baryogenesis. We study the dynamics of the model with axially coupled fermions in real-time. The model is defined on a spacetime lattice to preserve gauge invariance and to obtain numerical stability in a simple way. We take into account the phenomenon of lattice fermion doubling. The dynamics is approximated by treating the inhomogeneous Bose fields classically, which is justified in a large N_f approximation. The back reaction on the Bose fields due to fermion field fluctuations is calculated using a mode function expansion. We discuss and present numerical results for the response of fermions to sphaleron transitions, the renormalizability of the effective equations of motion and non-perturbative dynamics in the framework of non-equilibrium quantum field theory. The long-time behaviour of the system is discussed and we speculate about applications to finite density calculations. |
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| Item Description: |
@articleAarts:1998td, author = "Aarts, Gert and Smit, Jan", title = "Real time dynamics with fermions on a lattice", journal = "Nucl.Phys.", volume = "B555", pages = "355-394", doi = "10.1016/S0550-3213(99)00320-X", year = "1999", eprint = "hep-ph/9812413", archivePrefix = "arXiv", primaryClass = "hep-ph", reportNumber = "THU-98-45, ITFA-98-31", SLACcitation = "%%CITATION = HEP-PH/9812413;%%", |
| College: |
Faculty of Science and Engineering |
| Issue: |
1-2 |
| Start Page: |
355 |
| End Page: |
394 |