The Holst Action by the Spectral Action Principle
Mathematical Physics
2012-03-28 v4 General Relativity and Quantum Cosmology
math.MP
Abstract
We investigate the Holst action for closed Riemannian 4-manifolds with orthogonal connections. For connections whose torsion has zero Cartan type component we show that the Holst action can be recovered from the heat asymptotics for the natural Dirac operator acting on left-handed spinor fields.
Cite
@article{arxiv.1102.0954,
title = {The Holst Action by the Spectral Action Principle},
author = {Frank Pfaeffle and Christoph A. Stephan},
journal= {arXiv preprint arXiv:1102.0954},
year = {2012}
}
Comments
We correct a sign mistake in Proposition 2.3. As a consequence the main result (Theorem 3.4) becomes more natural