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

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

2006-10-02

arxiv.org/abs/hep-th/0610031v2

Phys.Rev.D75:024003,2007

Physics

High Energy Physics

High Energy Physics - Theory

16 pages, no figures. Introduction improved. References added. Version to appear in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.75.024003

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.

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