Effective action for scalar fields and generalised zeta-function regularisation

Details Effective action for scalar fields and generalised zeta-function regularisation Effective action for scalar fields and generalised zeta-function regularisation

2003-09-24

arxiv.org/abs/hep-th/0309221v2

Phys.Rev. D69 (2004) 024004

Physics

High Energy Physics

High Energy Physics - Theory

Latex, 16 pages, no figures; Latex mistakes corrected; accepted for publication in Physical Review D

Scientific paper

10.1103/PhysRevD.69.024004

Motivated by the study of quantum fields in a Friedman-Robertson-Walker (FRW) spacetime, the one-loop effective action for a scalar field defined in the ultrastatic manifold $R\times H^3/\Gamma$, $H^3/\Gamma$ being the finite volume, non-compact, hyperbolic spatial section, is investigated by a generalisation of zeta-function regularisation. It is shown that additional divergences may appear at one-loop level. The one-loop renormalisability of the model is discussed and making use of a generalisation of zeta-function regularisation, the one-loop renormalisation group equations are derived.

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