We investigate a new property of nets of local algebras over 4-dimensional globally hyperbolic spacetimes, called punctured Haag duality. This property consists in the usual Haag duality for the restriction of the net to the causal complement of a point p of the spacetime. Punctured Haag duality implies Haag duality and local definiteness. Our main result is that, if we deal with a locally covariant quantum field theory in the sense of Brunetti, Fredenhagen and Verch, then also the converse holds. The free Klein-Gordon field provides an example in which this property is verified. © Springer-Verlag 2005.

Ruzzi, G. (2005). Punctured Haag duality in locally covariant quantum field theories. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 256(3), 621-634 [10.1007/s00220-005-1310-0].

Punctured Haag duality in locally covariant quantum field theories

RUZZI, GIUSEPPE
2005-01-01

Abstract

We investigate a new property of nets of local algebras over 4-dimensional globally hyperbolic spacetimes, called punctured Haag duality. This property consists in the usual Haag duality for the restriction of the net to the causal complement of a point p of the spacetime. Punctured Haag duality implies Haag duality and local definiteness. Our main result is that, if we deal with a locally covariant quantum field theory in the sense of Brunetti, Fredenhagen and Verch, then also the converse holds. The free Klein-Gordon field provides an example in which this property is verified. © Springer-Verlag 2005.
2005
Pubblicato
Rilevanza internazionale
Articolo
Sì, ma tipo non specificato
Settore MAT/05 - ANALISI MATEMATICA
Settore MAT/07 - FISICA MATEMATICA
English
Con Impact Factor ISI
ADIABATIC VACUUM STATES; QUANTUM FIELD; SPACETIME;DUALITY
Ruzzi, G. (2005). Punctured Haag duality in locally covariant quantum field theories. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 256(3), 621-634 [10.1007/s00220-005-1310-0].
Ruzzi, G
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/27709
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