Quantum states and the Hadamard form. III. Constraints in cosmological space-times

Details Quantum states and the Hadamard form. III. Constraints in cosmological space-times Quantum states and the Hadamard form. III. Constraints in cosmological space-times

Oct 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985phrvd..32.1942n&link_type=abstract

Physical Review D (Particles and Fields), Volume 32, Issue 8, 15 October 1985, pp.1942-1948

Physics

16

Theory Of Quantized Fields, Lagrangian And Hamiltonian Approach, Renormalization

Scientific paper

We examine the constraints on the construction of Fock spaces for scalar fields in spatially flat Robertson-Walker space-times imposed by requiring that the vacuum state of the theory have a two-point function possessing the Hadamard singularity structure required by standard renormalization theory. It is shown that any such vacuum state must be a second-order adiabatic vacuum. We discuss the global requirements on the two-point function for it to possess the Hadamard form at all times if it possesses it at one time.

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