Phys. Rev. D 75, 024003 (2007) [12 pages]Running of Newton’s constant and noninteger powers of the d’AlembertianReceived 2 October 2006; published 2 January 2007 The running of Newton’s constant can be taken into account by considering covariant, nonlocal generalizations of the field equations of general relativity. These generalizations involve nonanalytic functions of the d’Alembertian, as (-□)-α, with α a noninteger number, and ln[-□]. In this paper we define these nonlocal 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. © 2007 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.75.024003
DOI:
10.1103/PhysRevD.75.024003
PACS:
04.60.−m, 04.62.+v, 98.80.Jk
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