Abstract
We study a scalar field with quartic self-coupling in a Robertson-Walker spacetime at one-loop order. A variation of the adiabatic regularization method is presented which leads to analytic approximations for the quantum energy-momentum tensor and the quantum contribution to the effective mass of the mean field. Conservation of the energy-momentum tensor for the field is discussed and it is shown that the full renormalized energy-momentum tensor is conserved as expected and required by the semiclassical Einstein's equation. It is also shown that if the analytic approximations are used, then the resulting approximate energy-momentum tensor is conserved.
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