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QED2+1 radiation effects in a strong magnetic field

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Abstract

We develop the eigenfunction method for the Dirac operator in a background magnetic field in the (2+1)-dimensional quantum electrodynamics (QED2+1). In the eigenfunction repressentation, we find the exact solutions and the Green's functions of the Dirac equation in a strong constant homogeneous magnetic field in 2+1 dimensions. In the one-loop QED2+1 approximation, we derive the effective Lagrangian, the density of vacuum fermions induced by the field, and the electron mass operator in a homogeneous background magnetic field.

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Authors and Affiliations

  1. Moscow State University, Moscow, Russia

    V. R. Khalilov

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  1. V. R. Khalilov
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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 121, No. 3, pp. 412–423, December, 1999.

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Khalilov, V.R. QED2+1 radiation effects in a strong magnetic field. Theor Math Phys 121, 1606–1616 (1999). https://doi.org/10.1007/BF02557206

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  • DOI: https://doi.org/10.1007/BF02557206

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