Inconsistencies from a Running Cosmological Constant
Abstract
We examine the general issue of whether a scale dependent cosmological constant can be consistent with general covariance, a problem that arises naturally in the treatment of quantum gravitation, where coupling constants generally run as a consequence of renormalization group effects. The issue is approached from several points of view, which include the manifestly covariant functional integral formulation, covariant continuum perturbation theory about two dimensions, the lattice formulation of gravity, and the nonlocal effective action and effective field equation methods. In all cases we find that the cosmological constant cannot run with scale, unless general covariance is explicitly broken by the regularization procedure. Our results are expected to have some bearing on current quantum gravity calculations, but more generally should apply to phenomenological approaches to the cosmological vacuum energy problem.
 Publication:

International Journal of Modern Physics D
 Pub Date:
 August 2013
 DOI:
 10.1142/S0218271813300231
 arXiv:
 arXiv:1301.6259
 Bibcode:
 2013IJMPD..2230023H
 Keywords:

 Quantum gravitation;
 renormalization group;
 quantum cosmology;
 04.60.–m;
 04.60.Gw;
 04.60.Nc;
 98.80.Qc;
 Covariant and sumoverhistories quantization;
 Lattice and discrete methods;
 Quantum cosmology;
 High Energy Physics  Theory;
 Astrophysics  Cosmology and Nongalactic Astrophysics;
 General Relativity and Quantum Cosmology
 EPrint:
 34 pages. Typos fixed, references added, one section expanded