A constraint on physical quantum states in cosmological space-times

Details A constraint on physical quantum states in cosmological space-times A constraint on physical quantum states in cosmological space-times

Jun 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985gregr..17..573n&link_type=abstract

General Relativity and Gravitation (ISSN 0001-7701), vol. 17, June 1985, p. 573-578.

Mathematics

Logic

3

Cosmology, Hilbert Space, Quantum Theory, Space-Time Functions, Unified Field Theory, Flux Density, Scalars

Scientific paper

Consideration is given to the problem of constructing a Hilbert space for the physical states of a free scalar quantum field propagating on a cosmological background. The concept of energy momentum for the field is applied to current renormalization theory in order to identify the physical constraints on the energy density of the field. It is shown that the anticommutator function of the field must be of a particular first form if the quantum state M is to have a finite energy density. The constraint is used to reject a recently proposed scheme for the construction of the Hilbert space based on the principle of energy minimization.

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