Quantum-field-theoretic analysis of inflation dynamics in a (2+1)-dimensional universe

We reexamine inflationary scenarios based on slow-rollover transitions, which occur under various initial conditions of the inflation-driving scalar field. We examine inflation dynamics using a recently developed calculational technique for studying a quantum-field-theoretic system in an external en...

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Bibliographic Details
Published in:Physical review. D, Particles and fields Particles and fields, 1991-10, Vol.44 (8), p.2335-2355
Main Authors: SAMIULLAH, M, EBOLI, O, SO-YOUNG PI
Format: Article
Language:English
Subjects:
661100 - Classical & Quantum Mechanics- (1992-)
662100 - General Theory of Particles & Fields- (1992-)
Astronomy
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
COSMOLOGICAL MODELS
Cosmology
Earth, ocean, space
ENERGY DENSITY
Exact sciences and technology
FIELD THEORIES
FOUR-DIMENSIONAL CALCULATIONS
GAUSSIAN PROCESSES
INFLATIONARY UNIVERSE
MATHEMATICAL MODELS
PERTURBATION THEORY
PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
QUANTUM FIELD THEORY
SCALAR FIELDS
SCHROEDINGER PICTURE
SPACE-TIME
Stellar systems. Galactic and extragalactic objects and systems. The universe
SYMMETRY BREAKING
VACUUM STATES
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Summary:We reexamine inflationary scenarios based on slow-rollover transitions, which occur under various initial conditions of the inflation-driving scalar field. We examine inflation dynamics using a recently developed calculational technique for studying a quantum-field-theoretic system in an external environment that is itself changing with time. This method, based on the functional Schroedinger picture, uses a self-consistent Gaussian approximation that, unlike ordinary perturbation theory, reflects some of the nonlinearities of the full quantum theory. Our treatment is confined to planar universes, where the approximation techniques do not suffer from well-known problems associated with scalar field self-interactions in four-dimensional space-time. However, for these toy models we can present concrete and explicit results.
ISSN:0556-2821
1089-4918
DOI:10.1103/PhysRevD.44.2335