paper

Quantum backreaction on a classical universe

arXiv:2109.12752 · doi:10.1103/PhysRevD.104.124048

Abstract

We study a first-order formulation for the coupled evolution of a quantum scalar field and a classical Friedmann universe. The model is defined by a state dependent hamiltonian constraint and the time dependent Schrödinger equation for the scalar field. We solve the resulting non-linear equations numerically for initial data consisting of a Gaussian scalar field state and gravity phase space variables. This gives a self-consistent semiclassical evolution that includes non-perturbative ``backreaction" due to particle production. We compare the results with the evolution of a quantum scalar field on a fixed background, and find that the backreaction modifies both particle production and cosmological expansion, and that these effects remain bounded.

7 pages, 2 figures

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