Some remarks on zeta function regularization in curved space-times

Details Some remarks on zeta function regularization in curved space-times Some remarks on zeta function regularization in curved space-times

Mar 1983

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983gregr..15..227b&link_type=abstract

General Relativity and Gravitation, vol. 15, Mar. 1983, p. 227-234.

Physics

Field Theory (Physics), Gauge Invariance, Gravitation Theory, Quantum Theory, Relativity, Space-Time Functions, Analytic Functions, Conformal Mapping, Coordinates, Feynman Diagrams, Minkowski Space, Normalizing, Scalars, Stress Tensors, Tensor Analysis

Scientific paper

The question of to what extent zeta function regularization respects the invariances of a quantum field theory in a background gravitational field is investigated. It is shown that zeta function regularization provides a generalization to curved space-time of analytic propagator regularization which is known not to respect gauge invariance. Furthermore, a study of the regularized stress tensor of a conformally invariant scalar field indicates that both conformal and general coordinate invariance are violated.

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