Chern-Simons-like action induced radiatively in General Relativity

Abstract

The Chern-Simons-like gravitational action is evaluated explicitly in four dimensional space-time by radiative corrections at one-loop level. The calculation is performed in fermionic sector where the Dirac fermions interact with the background gravitational field, including the parity-violating term \barψ\bsγ_5ψ. The investigation takes into account the weak field approximation and dimensional regularization scheme.

9 pages, 10 figures, minor typos fixed