Data: | Mercoledì 28 Gennaio 2004, Ore 16.00 |
Luogo: | Dip. Matematica, U. Roma "Tor Vergata" |
Speaker: | Dott. Giuseppe Ruzzi, U. Roma "Tor Vergata" |
Titolo: | RESTRICTED HAAG DUALITY IN LOCALLY COVARIANT QUANTUM FIELD THEORIES |
Abstract: | We investigate a new property for nets of local algebras over
4-dimensional globally hyperbolic spacetimes,
called restricted Haag duality.
This property consists of
the usual Haag duality for the restriction of the net
to the causal complement of a point of the spacetime.
Restricted Haag duality implies Haag duality, and if the representation
of the net is irreducible, local definiteness. The main result is the following: if the theory is locally covariant (in the sense of Brunetti, Fredenhagen and Verch), then local definiteness and Haag duality implies restricted Haag duality. The free Klein-Gordon field provides an example in which this property is verified. |