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Real-time dynamics with fermions on a lattice

Gert Aarts Orcid Logo, Jan Smit

Nuclear Physics B, Volume: "B555", Issue: 1-2, Pages: 355 - 394

Swansea University Author: Gert Aarts Orcid Logo

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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...

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Published in: Nuclear Physics B
ISSN: 05503213
Published: 1998
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URI: https://cronfa.swan.ac.uk/Record/cronfa22622
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last_indexed 2018-02-09T05:00:58Z
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spelling 2015-07-21T11:29:13.8298016 v2 22622 2015-07-21 Real-time dynamics with fermions on a lattice 1ba0dad382dfe18348ec32fc65f3f3de 0000-0002-6038-3782 Gert Aarts Gert Aarts true false 2015-07-21 SPH 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. Journal Article Nuclear Physics B "B555" 1-2 355 394 05503213 31 12 1998 1998-12-31 10.1016/S0550-3213(99)00320-X http://inspirehep.net/record/481066 @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 NANME Physics COLLEGE CODE SPH Swansea University 2015-07-21T11:29:13.8298016 2015-07-21T10:15:14.9700858 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics Gert Aarts 0000-0002-6038-3782 1 Jan Smit 2
title Real-time dynamics with fermions on a lattice
spellingShingle Real-time dynamics with fermions on a lattice
Gert Aarts
title_short Real-time dynamics with fermions on a lattice
title_full Real-time dynamics with fermions on a lattice
title_fullStr Real-time dynamics with fermions on a lattice
title_full_unstemmed Real-time dynamics with fermions on a lattice
title_sort Real-time dynamics with fermions on a lattice
author_id_str_mv 1ba0dad382dfe18348ec32fc65f3f3de
author_id_fullname_str_mv 1ba0dad382dfe18348ec32fc65f3f3de_***_Gert Aarts
author Gert Aarts
author2 Gert Aarts
Jan Smit
format Journal article
container_title Nuclear Physics B
container_volume "B555"
container_issue 1-2
container_start_page 355
publishDate 1998
institution Swansea University
issn 05503213
doi_str_mv 10.1016/S0550-3213(99)00320-X
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Biosciences, Geography and Physics - Physics{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Biosciences, Geography and Physics - Physics
url http://inspirehep.net/record/481066
document_store_str 0
active_str 0
description 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.
published_date 1998-12-31T03:26:48Z
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score 11.035634

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