Not all adiabatic vacua are physical states

Details Not all adiabatic vacua are physical states Not all adiabatic vacua are physical states

1998-08-21

arxiv.org/abs/hep-th/9808133v1

Phys.Rev. D59 (1999) 064011

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, LaTex2e

Scientific paper

10.1103/PhysRevD.59.064011

Adiabatic vacua are known to be Hadamard states. We show, however that the energy-momentum tensor of a linear Klein-Gordon field on Robertson-Walker spaces developes a generic singularity on the initial hypersurface if the adiabatic vacuum is of order less than four. Therefore, adiabatic vacua are physically reasonable only if their order is at least four. A certain non-local large momentum expansion of the mode functions has recently been suggested to yield the subtraction terms needed to remove the ultraviolet divergences in the energy-momentum tensor. We find that this scheme fails to reproduce the trace anomaly and therefore is not equivalent to adiabatic regularisation.

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