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 γ5. The investigation takes into account the weak field approximation and dimensional regularization scheme.

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