Spectral Action for Robertson-Walker metrics
High Energy Physics - Theory
2012-11-26 v1 General Relativity and Quantum Cosmology
Mathematical Physics
math.MP
Quantum Algebra
Abstract
We use the Euler-Maclaurin formula and the Feynman-Kac formula to extend our previous method of computation of the spectral action based on the Poisson summation formula. We show how to compute directly the spectral action for the general case of Robertson-Walker metrics. We check the terms of the expansion up to a_6 against the known universal formulas of Gilkey and compute the expansion up to a_{10} using our direct method.
Cite
@article{arxiv.1105.4637,
title = {Spectral Action for Robertson-Walker metrics},
author = {Ali H. Chamseddine and Alain Connes},
journal= {arXiv preprint arXiv:1105.4637},
year = {2012}
}