On quantum corrections to Chern-Simons spinor electrodynamics

M. Chaichian; W.F. Chen; V.Ya. Fainberg

doi:doi:10.1007/s100529800863

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2019 Impact factor 4.389

Particles and Fields

Eur. Phys. J. C 5, 545-552
DOI 10.1007/s100529800863

On quantum corrections to Chern-Simons spinor electrodynamics

M. Chaichian^1,2 - W.F. Chen^1,2- V.Ya. Fainberg^1,2

¹ High Energy Physics Division, Department of Physics, University of Helsinki
² Helsinki Institute of Physics, P.O. Box 9 (Siltavourenpenger 20 C), FIN-00014 Helsinki, Finland

Received: 9 December 1997 / Published online: 10 March 1998

Abstract
We make a detailed investigation on the quantum corrections to Chern-Simons spinor electrodynamics. Starting from Chern-Simons spinor quantum electrodynamics with the Maxwell term $-1/(4\gamma){\int}d^3x F_{\mu\nu}F^{\mu\nu}$ and by calculating the vacuum polarization tensor, electron self-energy and on-shell vertex, we explicitly show that the Ward identity is satisfied and hence verify that the physical quantities are independent of the procedure of taking ${\gamma}{\to}{\infty}$ at tree and one-loop levels. In particular, we find the three-dimensional analogue of the Schwinger anomalous magnetic moment term of the electron produced from the quantum corrections.