Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2011-05-23
Physics
High Energy Physics
High Energy Physics - Theory
Scientific paper
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.
Chamseddine Ali H.
Connes Alain
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