Regularization and renormalization of quantum field theory in curved space-time

Details Regularization and renormalization of quantum field theory in curved space-time Regularization and renormalization of quantum field theory in curved space-time

Jan 1977

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977rrqf.rept.....b&link_type=abstract

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Field Theory (Physics), Normalizing (Statistics), Quantum Theory, Regularity, Space-Time Functions, Asymptotic Methods, Computation, Curvature, Mathematical Models, Perturbation Theory, Two Dimensional Models

Scientific paper

It is proposed that field theories quantized in a curved spacetime manifold can be conveniently regularized and renormalized with the aid of Pauli-Villars regulator fields. The method avoids the conceptual difficulties of covariant point-separation approaches, by starting always from a manifestly generally covariant action, and the technical limitations of the dimensional reqularization approach, which requires solution of the theory in arbitrary dimension in order to go beyond a weak-field expansion. An action is constructed which renormalizes the weak-field perturbation theory of a massive scalar field in two space-time dimensions-it is shown that the trace anomaly previously found in dimensional regularization and some point-separation calculations also arises in perturbation theory when the theory is Pauli-Villars regulated. One then studies a specific solvable two-dimensional model of a massive scalar field in a Robertson-Walker asymptotically flat universe. It is shown that the action previously considered leads, in this model, to a well defined finite expectation value for the stress-energy tensor.

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