Quantum field theory in anti-de Sitter space-time

Quantum field theory in anti-de Sitter space-time

We consider the problem of quantizing scalar fields propagating in anti--de Sitter space-time. This space-time is static but not globally hyperbolic and hence the usual quantization procedures are inapplicable. Nevertheless, we show that a consistent quantization scheme can be devised by carefully c...

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Veröffentlicht in:Phys. Rev., D; (United States) D; (United States), 1978-11, Vol.18 (10), p.3565-3576
Hauptverfasser: Avis, S. J., Isham, C. J., Storey, D.
Format: Artikel
Sprache:eng
Schlagworte:
645400 - High Energy Physics- Field Theory
BAG MODEL
COMPOSITE MODELS
DE SITTER GROUP
DIFFERENTIAL EQUATIONS
DYNAMICAL GROUPS
EQUATIONS
EXTENDED PARTICLE MODEL
FIELD EQUATIONS
FIELD THEORIES
FUNCTIONS
GREEN FUNCTION
KLEIN-GORDON EQUATION
LIE GROUPS
MATHEMATICAL MODELS
O GROUPS
PARTICLE MODELS
PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
QUANTUM FIELD THEORY
QUARK MODEL
SCALAR FIELDS
SPACE-TIME
SYMMETRY GROUPS
WAVE EQUATIONS
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Zusammenfassung:We consider the problem of quantizing scalar fields propagating in anti--de Sitter space-time. This space-time is static but not globally hyperbolic and hence the usual quantization procedures are inapplicable. Nevertheless, we show that a consistent quantization scheme can be devised by carefully controlling information entering and leaving the space-time through its timelike spatial infinity.
ISSN:0556-2821
DOI:10.1103/PhysRevD.18.3565