Quantum field theory in a symmetric curved space from a second quantization on a group
Knowledge Area
Matemática AplicadaSponsors
M. Calixto thanks the University of Granada for a Post-doctoral grant and the Department of Physics of Swansea for its hospitality.Publication date
2000-10-10Publisher
World ScientificBibliographic Citation
CALIXTO 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 0217-751XKeywords
Segunda cuantizaciónQFT (Teoría de Campos Cuánticos)
Abstract
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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