Semiclassical Vacuum Definition for Scalar and Vector Fields. II ---Quantization of the Conformal Gravitational Mode and the Vacuum of Minimal Energy---

Details Semiclassical Vacuum Definition for Scalar and Vector Fields. II ---Quantization of the Conformal Gravitational Mode and the Vacuum of Minimal Energy--- Semiclassical Vacuum Definition for Scalar and Vector Fields. II ---Quantization of the Conformal Gravitational Mode and the Vacuum of Minimal Energy---

Oct 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990pthph..84..616c&link_type=abstract

Progress of Theoretical Physics, Vol. 84, No. 4, pp. 616-632

Physics

2

Scientific paper

We show, in the Robertson-Walker metrics, that the minimal energy criterion to choose the vacuum is compatible with the cancellation of the non-local infinities coming from the particle creation terms, if the conformal gravitational mode (or dilatation mode) is quantized. The proof is done in a semiclassical context of Quantum Field Theory in Curved Space Time with Conformal Quantum Fluctuation of the metric. The cancellation is possible because the contribution of the dilaton to the source of the Einstein equation is equal to that of a scalar field, minimaly coupled, with opposite sign.

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