Hartree approximation in curved spacetimes revisited II: The semiclassical Einstein equations and de Sitter self-consistent solutions

2014/01/23 by Diana L. López Nacir, Francisco D. Mazzitelli, Leonardo G. Trombetta · 1 citation
Physics and Astronomy · #hep-th #gr-qc

paper · pdf · doi:10.1103/physrevd.89.084013

published as Phys. Rev. D 89, 084013 (2014) · 32 pages, 4 figures

arxiv created 2014/01/23 · arxiv updated 2016/09/22

Abstract

We consider the semiclassical Einstein equations (SEE) in the presence of a quantum scalar field with self-interaction λϕ⁴. Working in the Hartree truncation of the two-particle irreducible (2PI) effective action, we compute the vacuum expectation value of the energy-momentum tensor of the scalar field, which act as a source of the SEE. We obtain the renormalized SEE by implementing a consistent renormalization procedure. We apply our results to find self-consistent de Sitter solutions to the SEE in situations with or without spontaneous breaking of the Z₂-symmetry.

Cited by

• Spontaneous symmetry breaking induced by curvature : Analysis via non-perturbative 2PI Hartree approximation