Punctured Haag Duality in Locally Covariant Quantum Field Theories
@article{Ruzzi2005PuncturedHD, title={Punctured Haag Duality in Locally Covariant Quantum Field Theories}, author={G. Ruzzi}, journal={Communications in Mathematical Physics}, year={2005}, volume={256}, pages={621-634} }
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… CONTINUE READING
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- 31
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References
SHOWING 1-10 OF 18 REFERENCES
The Generally Covariant Locality Principle – A New Paradigm for Local Quantum Field Theory
- Mathematics, Physics
- 2001
- 272
- Highly Influential
- PDF
CHARGED SECTORS, SPIN AND STATISTICS IN QUANTUM FIELD THEORY ON CURVED SPACETIMES
- Physics, Mathematics
- 2001
- 97
- PDF
Adiabatic Vacuum States on General Spacetime Manifolds: Definition, Construction, and Physical Properties
- Mathematics, Physics
- 2002
- 100
- PDF
Continuity of Symplectically Adjoint Maps and the Algebraic Structure of Hadamard Vacuum Representations for Quantum Fields on Curved Spacetime
- Mathematics, Physics
- 1997
- 37
- PDF
Verch.: The generally covariant locality principle – A new paradigm for local quantum physics
- Commum. Math. Phys. 237,
- 2003