Quantum Field Theory in a Symmetric Curved Space from a Second Quantization on a Group

Details Quantum Field Theory in a Symmetric Curved Space from a Second Quantization on a Group Quantum Field Theory in a Symmetric Curved Space from a Second Quantization on a Group

1997-01-30

arxiv.org/abs/hep-th/9701180v2

Int.J.Mod.Phys. A15 (2000) 4011-4044

Physics

High Energy Physics

High Energy Physics - Theory

31 pages, LaTeX, no figures; substantial improvement, new material added; to appear in Int. J. Mod. Phys. A

Scientific paper

10.1142/S0217751X00001230

In this article we propose a `second quantization' scheme especially suitable to deal with non-trivial, highly symmetric phase spaces, implemented within a more general Group Approach to Quantization, which recovers the standard Quantum Field Theory (QFT) for ordinary relativistic linear fields. We emphasize, among its main virtues, greater suitability in characterizing vacuum states in a QFT on a highly symmetric curved space-time and the absence of the usual requirement of global hyperbolicity. This can be achieved in the special case of the Anti-de Sitter universe, on which we explicitly construct a QFT.

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