Dirac particle in the presence of a plane waveand constant magnetic fields: path integral approach

The 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 a path integral via the Alexandrou et al. formalism according to the so-called global projection. As a calculation tool, we introduce two id...

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Bibliographic Details
Published inThe European physical journal. C, Particles and fields Vol. 44; no. 1; pp. 131 - 137
Main Author Bourouaine, S.
Format Journal Article
LanguageEnglish
Published Heidelberg Springer Nature B.V 01.09.2005
Subjects
Electromagnetic fields
Formalism
Green's functions
Integrals
Magnetic fields
Mathematical analysis
Plane waves
Variations
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Summary:The 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 a path integral via the Alexandrou et al. formalism according to the so-called global projection. As a calculation tool, we introduce two identities (constraints) into this formalism; their main role is the reduction of the dimension of the integral and the emergence in a natural way of some classical paths and, due to the existence of a 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 from the effective classical action.
ISSN:1434-6044
1434-6052
DOI:10.1140/epjc/s2005-02352-4