Dirac particle in the presence of plane wave and constant magnetic fields: Path integral approach
arXiv:math-ph/0507027 · doi:10.1140/epjc/s2005-02352-4
Abstract
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 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.
arXiv comment12 pages, no figures
References in corpus (4)
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- Quantization of Spinning Particle with Anomalous Magnetic Momentum
- Worldline path integral for the massive Dirac propagator : A four-dimensional approach
- Functional integral over velocities for a spinning particle with and without anomalous magnetic moment in a constant electromagnetic field