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

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arxiv 1401.6094 v1 pith:2GCYIVTL submitted 2014-01-23 hep-th gr-qc

classification hep-thgr-qc
keywords einsteinequationsfieldhartreescalarself-consistentsemiclassicalsitter
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abstract

We consider the semiclassical Einstein equations (SEE) in the presence of a quantum scalar field with self-interaction $\lambda\phi^4$. 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 $Z_2$-symmetry.

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Cited by 1 Pith paper

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

    gr-qc 2025-04 conditional novelty 6.0 of 10

    Curvature, via resummed 2PI Hartree self-energy, can induce spontaneous symmetry breaking for a minimally coupled scalar with positive mass squared in de Sitter spacetime.

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