Cauchy data and Hadamard singularities in time-dependent backgrounds

Details Cauchy data and Hadamard singularities in time-dependent backgrounds Cauchy data and Hadamard singularities in time-dependent backgrounds

Nov 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987phrvd..36.2994m&link_type=abstract

Physical Review D (Particles and Fields), Volume 36, Issue 10, 15 November 1987, pp.2994-3001

Mathematics

Logic

14

Renormalization, Theory Of Quantized Fields, Particle-Theory And Field-Theory Models Of The Early Universe

Scientific paper

We obtain the most general Cauchy data that produce Hadamard singularities in the propagator of a scalar field in the following backgrounds: (a) space-times with general homogeneous plane cosmological metrics; (b) Robertson-Walker space-times with arbitrary spatial curvature. Using this result we discuss the propagator's structure derived from two recently proposed Hamiltonian diagonalizations.

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