A relation between the Barbero-Immirzi parameter and the standard model
arXiv:1002.3041 · doi:10.1016/j.physletb.2010.05.004
Abstract
It has been shown that Sakharov's induced, from the fields entering the standard model, Barbero-Immirzi parameter assumes, in the framework of euclidean formalism, the UV cutoff-independent value, 1/9. The calculus uses the Schwinger's proper-time formalism, the Seeley-DeWitt heat-kernel expansion, and it is akin to the derivation of the ABJ chiral anomaly in space-time with torsion.
6 pages, accepted version
References in corpus (6)
- Interaction of the Barbero--Immirzi Field with Matter and Pseudo-Scalar Perturbations
- Barbero-Immirzi field in canonical formalism of pure gravity
- Peccei--Quinn mechanism in gravity and the nature of the Barbero--Immirzi parameter
- From the Einstein-Cartan to the Ashtekar-Barbero canonical constraints, passing through the Nieh-Yan functional
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- Induced gravity and gauge interactions revisited
Cited by in corpus (6)
- Primordial black holes in loop quantum cosmology: The effect on the threshold
- Constraining the Barbero-Immirzi parameter from the duration of inflation in loop quantum cosmology
- The Holst Action by the Spectral Action Principle
- Chiral Asymmetry and the Spectral Action
- The Barbero-Immirzi Parameter: An Enigmatic Parameter of Loop Quantum Gravity
- Induced gauge interactions revisited