On Quantum Corrections to Chern-Simons Spinor Electrodynamics

TL;DR

This paper investigates quantum corrections in Chern-Simons spinor electrodynamics, verifying Ward identities and identifying an anomalous magnetic moment term arising from quantum effects.

Contribution

It provides a detailed calculation of quantum corrections, confirming gauge invariance and deriving a three-dimensional analogue of the Schwinger magnetic moment.

Findings

Ward identity is satisfied in the model

Quantum corrections produce an anomalous magnetic moment term

Physical quantities are independent of the Maxwell term parameter in the limit

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 one-loop and tree levels. In particular, we find the three-dimensional analogue of the Schwinger anomalous magnetic moment term of the electron produced from the quantum corrections.