Classical field theory with fermions

Borsányi, Sz and Hindmarsh, M (2009) Classical field theory with fermions. Nuclear Physics A, 820. 151C-154C. ISSN 0375-9474

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Classical 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.

Item Type: Article
Schools and Departments: School of Mathematical and Physical Sciences > Physics and Astronomy
Depositing User: Mark Hindmarsh
Date Deposited: 06 Feb 2012 19:48
Last Modified: 23 Apr 2012 14:40
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