Curvature corrections to the smeared squared scalar field are derived to leading order, yielding a geometric term plus an uncomputed state-dependent constant.
Parker, Quantized fields and particle creation in ex- panding universes
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The effect of curvature on local observables in quantum field theory
Curvature corrections to the smeared squared scalar field are derived to leading order, yielding a geometric term plus an uncomputed state-dependent constant.