Communications in Mathematical Physics

, Volume 256, Issue 3, pp 621–634 | Cite as

Punctured Haag Duality in Locally Covariant Quantum Field Theories

  • Giuseppe RuzziEmail author


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.


Neural Network Statistical Physic Field Theory Complex System Quantum Field Theory 
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© Springer-Verlag Berlin Heidelberg 2005

Authors and Affiliations

  1. 1.Dipartimento di MatematicaUniversità di Roma “Tor Vergata”RomaItaly

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