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Vacuum Stress‐Energy Tensor and Particle Creation in Isotropic Cosmological Models
Author(s) -
Grib A. A.,
Mamayev S. G.,
Mostepanenko V. M.
Publication year - 1980
Publication title -
fortschritte der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.469
H-Index - 71
eISSN - 1521-3978
pISSN - 0015-8208
DOI - 10.1002/prop.19800280402
Subject(s) - physics , spinor , vacuum energy , scalar field , hamiltonian (control theory) , mathematical physics , theoretical physics , isotropy , regularization (linguistics) , tensor field , vacuum expectation value , classical mechanics , quantum mechanics , exact solutions in general relativity , mathematics , mathematical optimization , higgs boson , artificial intelligence , computer science
Quantum theory of quantized scalar and spinor fields in homogeneous isotropic space‐time is considered. Particle interpretation of quantized field is given which is based on diagonalization of the Hamiltonian constructed by means of the metrical stress‐energy tensor (SET). This interpretation allows to define a normal ordering prescript which respects the conservation property of SET. With the help of Zeldovich‐Starobinsky regularization procedure [3] this allows to obtain the total renormalized vacuum expectation values of SET which include both nonlocal terms corresponding to the particle creation and local ones describing the vacuum polarization. Estimates for the total SET of scalar and spinor field on various stages of the evolution for realistic cosmological models are obtained. Also the effect of spontaneous breakdown of gauge symmetry for selfinteracting scalar field in a hyperbolic Friedman model is considered.