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Title: Effect of the trace anomaly on the cosmological constant

Abstract

It has been argued that the quantum (conformal) trace anomaly could potentially provide us with a dynamical explanation of the cosmological constant problem. In this paper, however, we show by means of a semiclassical analysis that the trace anomaly does not affect the cosmological constant. We construct the effective action of the conformal anomaly for flat Friedmann-Lemaitre-Robertson-Walker spacetimes consisting of local quadratic geometric curvature invariants. Counterterms are thus expected to influence the numerical value of the coefficients in the trace anomaly and we must therefore allow these parameters to vary. We calculate the evolution of the Hubble parameter in quasi-de Sitter spacetime, where we restrict our Hubble parameter to vary slowly in time, and in Friedmann-Lemaitre-Robertson-Walker spacetimes. We show dynamically that a universe consisting of matter with a constant equation of state, a cosmological constant, and the quantum trace anomaly evolves either to the classical de Sitter attractor or to a quantum trace anomaly driven one. When considering the trace anomaly truncated to quasi-de Sitter spacetime, we find a region in parameter space where the quantum attractor destabilizes. When considering the exact expression of the trace anomaly, a stability analysis shows that whenever the trace anomaly driven attractor is stable,more » the classical de Sitter attractor is unstable, and vice versa. Semiclassically, the trace anomaly does not affect the classical late time de Sitter attractor, and hence it does not solve the cosmological constant problem.« less

Authors:
;  [1]
  1. Institute for Theoretical Physics (ITP) and Spinoza Institute, Utrecht University, Postbus 80195, 3508 TD Utrecht (Netherlands)
Publication Date:
OSTI Identifier:
21250328
Resource Type:
Journal Article
Journal Name:
Physical Review. D, Particles Fields
Additional Journal Information:
Journal Volume: 78; Journal Issue: 2; Other Information: DOI: 10.1103/PhysRevD.78.023508; (c) 2008 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0556-2821
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; ATTRACTORS; COMPUTERIZED SIMULATION; COSMOLOGICAL CONSTANT; DE SITTER GROUP; EQUATIONS OF STATE; EVOLUTION; QUANTUM FIELD THEORY; SEMICLASSICAL APPROXIMATION; SPACE-TIME; STABILITY; UNIVERSE

Citation Formats

Koksma, Jurjen F, and Prokopec, Tomislav. Effect of the trace anomaly on the cosmological constant. United States: N. p., 2008. Web. doi:10.1103/PHYSREVD.78.023508.
Koksma, Jurjen F, & Prokopec, Tomislav. Effect of the trace anomaly on the cosmological constant. United States. doi:10.1103/PHYSREVD.78.023508.
Koksma, Jurjen F, and Prokopec, Tomislav. Tue . "Effect of the trace anomaly on the cosmological constant". United States. doi:10.1103/PHYSREVD.78.023508.
@article{osti_21250328,
title = {Effect of the trace anomaly on the cosmological constant},
author = {Koksma, Jurjen F and Prokopec, Tomislav},
abstractNote = {It has been argued that the quantum (conformal) trace anomaly could potentially provide us with a dynamical explanation of the cosmological constant problem. In this paper, however, we show by means of a semiclassical analysis that the trace anomaly does not affect the cosmological constant. We construct the effective action of the conformal anomaly for flat Friedmann-Lemaitre-Robertson-Walker spacetimes consisting of local quadratic geometric curvature invariants. Counterterms are thus expected to influence the numerical value of the coefficients in the trace anomaly and we must therefore allow these parameters to vary. We calculate the evolution of the Hubble parameter in quasi-de Sitter spacetime, where we restrict our Hubble parameter to vary slowly in time, and in Friedmann-Lemaitre-Robertson-Walker spacetimes. We show dynamically that a universe consisting of matter with a constant equation of state, a cosmological constant, and the quantum trace anomaly evolves either to the classical de Sitter attractor or to a quantum trace anomaly driven one. When considering the trace anomaly truncated to quasi-de Sitter spacetime, we find a region in parameter space where the quantum attractor destabilizes. When considering the exact expression of the trace anomaly, a stability analysis shows that whenever the trace anomaly driven attractor is stable, the classical de Sitter attractor is unstable, and vice versa. Semiclassically, the trace anomaly does not affect the classical late time de Sitter attractor, and hence it does not solve the cosmological constant problem.},
doi = {10.1103/PHYSREVD.78.023508},
journal = {Physical Review. D, Particles Fields},
issn = {0556-2821},
number = 2,
volume = 78,
place = {United States},
year = {2008},
month = {7}
}