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Journal of High Energy Physics

, 2014:64

First Online: 09 December 2014Received: 26 August 2014Accepted: 30 November 2014 Abstract

We use pseudodifferential calculus and heat kernel techniques to prove a conjecture by Chamseddine and Connes on rationality of the coefficients of the polynomials in the cosmic scale factor at and its higher derivatives, which describe the general terms a2n in the expansion of the spectral action for general Robertson-Walker metrics. We also compute the terms up to a12 in the expansion of the spectral action by our method. As a byproduct, we verify that our computations agree with the terms up to a10 that were previously computed by Chamseddine and Connes by a different method.

KeywordsNon-Commutative Geometry Models of Quantum Gravity ArXiv ePrint: 1407.5972

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Autor: Farzad Fathizadeh - Asghar Ghorbanpour - Masoud Khalkhali

Fuente: https://link.springer.com/



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