Some uses of $ζ-$regularization in quantum gravity and cosmology

Details Some uses of $ζ-$regularization in quantum gravity and cosmology Some uses of $ζ-$regularization in quantum gravity and cosmology

2001-08-19

arxiv.org/abs/hep-th/0108134v1

Grav.Cosmol.8:43-48,2002

Physics

High Energy Physics

High Energy Physics - Theory

To appear in G@C, special issue devoted to QG, Unified Models and Strings, to mark 100th Anniversary of Tomsk State Pedagogica

Scientific paper

This is a short guide to some uses of the zeta-function regularization procedure as a a basic mathematical tool for quantum field theory in curved space-time (as is the case of Nambu-Jona-Lasinio models), in quantum gravity models (in different dimensions), and also in cosmology, where it appears e.g. in the calculation of possible `contributions' to the cosmological constant coming through manifestations of the vacuum energy density. Part of this research was carried out in fruitful and enjoyable collaboration with people from Tomsk State Pedagogical University.

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