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Spectral Action for Robertson-Walker metrics

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.

preprint2011arXivOpen access
Ali H. ChamseddineAlain Connes
math-phmath.QAmath.MPgr-qchep-th
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Open access2 authors5 topics
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Ali H. ChamseddineAlain Connes

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