Dirac particle in the presence of plane wave and constant magnetic fields: Path integral approach

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dc.creatorBourouaine, S.
dc.date2005-07-09
dc.date.accessioned2026-07-07T12:25:33Z
dc.date.available2026-07-07T12:25:33Z
dc.descriptionThe Green function (GF) related to the problem of a Dirac particle interacting with a plane wave and constant magnetic fields is calculated in the framework of path integral via Alexandrou et al. formalism according to the so-called global projection. As a tool of calculation, we introduce two identities (constraints) into this formalism, their main role is the reduction of integrals dimension and the emergence in a natural way of some classical paths, and due to the existence of constant electromagnetic field, we have used the technique of fluctuations. Hence the calculation of the (GF) is reduced to a known gaussian integral plus a contribution of the effective classical action.
dc.description12 pages, no figures
dc.identifierhttps://arxiv.org/abs/math-ph/0507027
dc.identifierhttp://arxiv.org/abs/math-ph/0507027
dc.identifierEur.Phys.J.C44:131-137,2005
dc.identifierdoi:10.1140/epjc/s2005-02352-4
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/214643
dc.subjectMathematical Physics
dc.subjectHigh Energy Physics - Theory
dc.titleDirac particle in the presence of plane wave and constant magnetic fields: Path integral approach
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