A Note on Parity Violation and the Immirzi Parameter
| dc.creator | Randono, Andrew | |
| dc.date | 2005-09-30 | |
| dc.date.accessioned | 2026-07-07T06:46:50Z | |
| dc.date.available | 2026-07-07T06:46:50Z | |
| dc.description | There has been considerable recent interest in the Immirzi parameter as a measure of parity violating effects in the classical theory of gravitation with fermion coupling. Most recently it was shown that the Immirzi parameter together with the non-minimal coupling constant of Dirac spinors provides the measure for parity violating spin-spin interaction terms in the effective field theory. For complex values of the Immirzi parameter, the resulting effective field theory yields complex values for the torsion, and a non-unitary effective field theory that blows up for the special cases $γ=\pm i$ where the gravitational kinetic term is the Ashtekar action. We show that by restricting ourselves to real values for the torsion, there is a natural set of choice for the non-minimal coupling constant that yields real and unitary effective field theory that does not blow up for the special cases $γ=\pm i$. We then show that these particular values for the non-minimal coupling coefficients most naturally follow from a non-minimal pseudo-kinetic term in the fermion Lagrangian. | |
| dc.description | 7 pages | |
| dc.identifier | https://arxiv.org/abs/hep-th/0510001 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0510001 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/103468 | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.title | A Note on Parity Violation and the Immirzi Parameter | |
| dc.type | text |