Spectral Action for Robertson-Walker metrics
Chamseddine, Ali H. · Connes, Alain
High Energy Physics - Theory
General Relativity and Quantum Cosmology
Mathematical Physics
Quantum Algebra
Original · EN
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 a₆ against the known universal formulas of Gilkey and compute the expansion up to a₁₀ using our direct method.
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