Quantum-invariant theory and the evolution of a quantum scalar field in Robertson-Walker flat spacetimes

Details Quantum-invariant theory and the evolution of a quantum scalar field in Robertson-Walker flat spacetimes Quantum-invariant theory and the evolution of a quantum scalar field in Robertson-Walker flat spacetimes

Apr 1996

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1996phrvd..53.4374g&link_type=abstract

Physical Review D (Particles, Fields, Gravitation, and Cosmology), Volume 53, Issue 8, 15 April 1996, pp.4374-4381

Physics

35

Quantum Field Theory In Curved Spacetime, Particle-Theory And Field-Theory Models Of The Early Universe

Scientific paper

On the basis of the generalized invariant formulation, the invariant-related unitary transformation method is developed and used to study the evolution of a quantum scalar field in Robertson-Walker flat spacetimes. We first solve the functional Schrödinger equation for a free scalar field and obtain the exact solutions, of which the ground-state solution possesses isotropy and homogeneity automatically. We then investigate a way of extending the method to treat the case in which there is a high-order perturbative self-interaction.

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