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arXiv · hep-th/0108175

Quantum Evolution of Inhomogeneities in Curved Space

H. C. Reis
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Abstract

We obtain the renormalized equations of motion for matter and semi-classical gravity in an inhomogeneous space-time. We use the functional Schrodinger picture and a simple Gaussian approximation to analyze the time evolution of the $λϕ^4$ model, and we establish the renormalizability of this non-perturbative approximation. We also show that the energy-momentum tensor in this approximation is finite once we consider the usual mass and coupling constant renormalizations, without the need of further geometrical counter-terms.

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H. C. Reis. 2001-08-23. Quantum Evolution of Inhomogeneities in Curved Space. https://doi.org/10.1142/s0217751x99000828

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