Anomaly-induced effective action and Chern-Simons modification of general relativity
Abstract
Recently it was shown that the quantum vacuum effects of massless chiral fermion field in curved space-time leads to the parity-violating Pontryagin density term, which appears in the trace anomaly with imaginary coefficient. In the present work the anomaly-induced effective action with the parity-violating term is derived. The result is similar to the Chern-Simons modified general relativity, which was extensively studied in the last decade, but with the kinetic terms for the scalar different from those considered previously in the literature. The parity-breaking term makes no effect on the zero-order cosmology, but it is expected to be relevant in the black hole solutions and in the cosmological perturbations, especially gravitational waves.
Keywords
Cite
@article{arxiv.1412.5002,
title = {Anomaly-induced effective action and Chern-Simons modification of general relativity},
author = {Sebastião Mauro and Ilya L. Shapiro},
journal= {arXiv preprint arXiv:1412.5002},
year = {2015}
}
Comments
15 pages, LaTeX, no Figures. Two references added, correction in the Acknowledgements. Fits the manuscript accepted in Physics Letters B