Massive quantum field theory in two-dimensional Robertson-Walker space-time

Physics

Scientific paper

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Cosmology, Field Theory (Physics), Gravitation Theory, Momentum Theory, Quantum Mechanics, Space-Time Functions, Stress Tensors, Astronomical Models, Normalizing, Regularity, Scalars, Universe, Vacuum

Scientific paper

The stress tensor of a massive scalar field, as an integral over normal modes (which are not mere plane waves), is regularized by covariant point separation. When the expectation value in a Parker-Fulling adiabatic vacuum state is expanded in the limit of small curvature-to-mass ratios, the series coincides in each order with the Schwinger-DeWitt-Christensen proper-time expansion. The renormalization ansatz suggested by these expansions (which applies to arbitrary curvature-to-mass ratios and arbitrary quantum state) can be implemented at the integrand level for practical computations.

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