Running of Newton's constant and non integer powers of the d'Alembertian

Phys.Rev.D75:024003,2007 The running of Newton's constant can be taken into account by considering covariant, non local generalizations of the field equations of general relativity. These generalizations involve nonanalytic functions of the d'Alembertian, as $(-\Box)^{-\alpha}$, with $\alp...

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Bibliographic Details
Main Authors Nacir, D. López, Mazzitelli, F. D
Format Journal Article
LanguageEnglish
Published 02.10.2006
Subjects
Physics - General Relativity and Quantum Cosmology
Physics - High Energy Physics - Theory
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Summary:Phys.Rev.D75:024003,2007 The running of Newton's constant can be taken into account by considering covariant, non local generalizations of the field equations of general relativity. These generalizations involve nonanalytic functions of the d'Alembertian, as $(-\Box)^{-\alpha}$, with $\alpha$ a non integer number, and $\ln[-\Box]$. In this paper we define these non local operators in terms of the usual two point function of a massive field. We analyze some of their properties, and present specific calculations in flat and Robertson Walker spacetimes.
DOI:10.48550/arxiv.hep-th/0610031