Quantum Einstein-Cartan theory with the Holst term
Abstract
Holst term represents an interesting addition to the Einstein-Cartan theory of gravity with torsion. When this term is present the contact interactions between vector and axial vector fermion currents gain an extra parity-violating component. We re-derive this interaction using a simple representation for the Holst term. The same representation serves as a useful basis for the calculation of one-loop divergences in the theory with external fermionic currents and cosmological constant. Furthermore, we explore the possibilities of the on-shell version of renormalization group and construct the equations for the running of dimensionless parameters related to currents and for the effective Barbero-Immirzi parameter.
Cite
@article{arxiv.1402.4854,
title = {Quantum Einstein-Cartan theory with the Holst term},
author = {Ilya L. Shapiro and Poliane M. Teixeira},
journal= {arXiv preprint arXiv:1402.4854},
year = {2014}
}
Comments
Small changes. A mistake in the classical part corrected due to the advise of Prof. F. Hehl. A few references added