Chiral Asymmetry and the Spectral Action
Mathematical Physics
2015-06-04 v1 General Relativity and Quantum Cosmology
math.MP
Abstract
We consider orthogonal connections with arbitrary torsion on compact Riemannian manifolds. For the induced Dirac operators, twisted Dirac operators and Dirac operators of Chamseddine-Connes type we compute the spectral action. In addition to the Einstein-Hilbert action and the bosonic part of the Standard Model Lagrangian we find the Holst term from Loop Quantum Gravity, a coupling of the Holst term to the scalar curvature and a prediction for the value of the Barbero-Immirzi parameter.
Keywords
Cite
@article{arxiv.1203.5898,
title = {Chiral Asymmetry and the Spectral Action},
author = {Frank Pfaeffle and Christoph A. Stephan},
journal= {arXiv preprint arXiv:1203.5898},
year = {2015}
}