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On Quantum Corrections to Chern-Simons Spinor Electrodynamics
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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.
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Cited by 2 Pith papers
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Dipole ghosts and spontaneous symmetry breaking in higher-order Chern-Simons theory
Dipole ghost sectors emerge from the multiplicity of classical solutions in higher-order Chern-Simons theory, and spontaneous symmetry breaking lifts this degeneracy.
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Higher-order Chern-Simons extensions to QED in $2+1$ dimensions
In a higher-derivative Maxwell-Chern-Simons QED, one-loop corrections give the fermion an effective two-pole structure (particle plus ghost), and the photon polarization and vertex corrections are finite.
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