A Note on Parity Violation and the Immirzi Parameter

Details A Note on Parity Violation and the Immirzi Parameter A Note on Parity Violation and the Immirzi Parameter

2005-09-30

arxiv.org/abs/hep-th/0510001v1

Physics

High Energy Physics

High Energy Physics - Theory

7 pages

Scientific paper

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 $\gamma=\pm i$ 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 $\gamma=\pm i$. 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.

Affiliated with

Also associated with

No associations

Rating

A Note on Parity Violation and the Immirzi Parameter does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A Note on Parity Violation and the Immirzi Parameter, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A Note on Parity Violation and the Immirzi Parameter will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-683113