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Classical field theory with fermions
journal contribution
posted on 2023-06-08, 00:03 authored by Sz Borsányi, Mark HindmarshMark HindmarshClassical field theory simulations have been essential for our understanding of non-equilibrium phenomena in particle physics. In this talk we discuss the possible extension of the bosonic classical field theory simulations to include fermions. In principle we use the inhomogeneous mean field approximation as introduced by Aarts and Smit. But in practice we turn front their deterministic technique to a stochastic approach. We represent the fermion field as an ensemble of pairs of spinor fields, clubbed male and female. These c-number fields solve the classical Dirac equation. Our improved algorithm enables the extension of the originally 1+1 dimensional, analyses and is suitable for large-scale inhomogeneous settings, like defect networks.
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Publication status
- Published
Journal
Nuclear Physics AISSN
0375-9474Publisher
ElsevierExternal DOI
Volume
820Page range
151C-154CDepartment affiliated with
- Physics and Astronomy Publications
Full text available
- No
Peer reviewed?
- Yes
Legacy Posted Date
2012-02-06Usage metrics
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