This article is cited in 7 papers

QED${}_{2+1}$ radiation effects in a strong magnetic field

V. R. Khalilov

M. V. Lomonosov Moscow State University, Faculty of Physics

Abstract: We develop the eigenfunction method for the Dirac operator in a background magnetic field in the $(2+1)$-dimensional quantum electrodynamics (QED${}_{2+1}$). In the eigenfunction representation, 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 QED${}_{2+1}$ 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.

Received: 11.03.1999
Revised: 07.06.1999

DOI: 10.4213/tmf819

 English version: Theoretical and Mathematical Physics, 1999, 121:3, 1606–1616

Bibliographic databases:

• 
•