Quantum field theory in a symmetric curved space from a second quantization on a group
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Knowledge AreaMatemática Aplicada
SponsorsM. Calixto thanks the University of Granada for a Post-doctoral grant and the Department of Physics of Swansea for its hospitality.
Bibliographic CitationCALIXTO MOLINA, Manuel, ALDAYA VALVERDE, Victor, NAVARRO, M. Quantum field theory in a symmetric curved space from a second quantization on a group. International Journal of Modern Physics, 15 (25): 4011-4044, Octubre 2000. ISSN 0217-751X
QFT (Teoría de Campos Cuánticos)
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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