Running of Newton’s constant and noninteger powers of the d’Alembertian

D. López Nacir and F. D. Mazzitelli
Phys. Rev. D 75, 024003 – Published 2 January 2007

Abstract

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.

  • Received 2 October 2006

DOI:https://doi.org/10.1103/PhysRevD.75.024003

©2007 American Physical Society

Authors & Affiliations

D. López Nacir* and F. D. Mazzitelli

  • Departamento de Física Juan José Giambiagi, Facultad de Ciencias Exactas y Naturales, UBA, Ciudad Universitaria, Pabellón I, 1428 Buenos Aires, Argentina

  • *Email: dnacir@df.uba.ar
  • Email: fmazzi@df.uba.ar

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Issue

Vol. 75, Iss. 2 — 15 January 2007

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