Journal
CLASSICAL AND QUANTUM GRAVITY
Volume 31, Issue 18, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/0264-9381/31/18/185002
Keywords
Barbero-Immirzi parameter; Einstein-Cartan theory; Renormalization group
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Funding
- CAPES
- CNPq
- FAPEMIG
- ICTP (IS)
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The 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 the renormalization group and construct equations for the running of dimensionless parameters related to currents and for the effective Barbero-Immirzi parameter.
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