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- Local_quantum_field_theory abstract "The Haag–Kastler axiomatic framework for quantum field theory, introduced by Haag and Kastler (1964), is an application to local quantum physics of C*-algebra theory. It is therefore also known as Algebraic Quantum Field Theory (AQFT). The axioms are stated in terms of an algebra given for every open set in Minkowski space, and mappings between those.Let Mink be the category of open subsets of Minkowski space M with inclusion maps as morphisms. We are given a covariant functor from Mink to uC*alg, the category of unital C* algebras, such that every morphism in Mink maps to a monomorphism in uC*alg (isotony).The Poincaré group acts continuously on Mink. There exists a pullback of this action, which is continuous in the norm topology of (Poincaré covariance). Minkowski space has a causal structure. If an open set V lies in the causal complement of an open set U, then the image of the maps and commute (spacelike commutativity). If is the causal completion of an open set U, then is an isomorphism (primitive causality).A state with respect to a C*-algebra is a positive linear functional over it with unit norm. If we have a state over , we can take the "partial trace" to get states associated with for each open set via the net monomorphism. It's easy to show the states over the open sets form a presheaf structure.According to the GNS construction, for each state, we can associate a Hilbert space representation of Pure states correspond to irreducible representations and mixed states correspond to reducible representations. Each irreducible (up to equivalence) is called a superselection sector. We assume there is a pure state called the vacuum such that the Hilbert space associated with it is a unitary representation of the Poincaré group compatible with the Poincaré covariance of the net such that if we look at the Poincaré algebra, the spectrum with respect to energy-momentum (corresponding to spacetime translations) lies on and in the positive light cone. This is the vacuum sector.More recently, the approach has been further implemented to include an algebraic version of quantum field theory in curved spacetime. Indeed, the viewpoint of local quantum physics is in particular suitable to generalize the renormalization procedure to the theory of quantum fields developed on curved backgrounds. Several rigorous results concerning QFT in presence of a black hole have been obtained.".
- Local_quantum_field_theory wikiPageExternalLink aqft.
- Local_quantum_field_theory wikiPageExternalLink www.lqp2.org.
- Local_quantum_field_theory wikiPageExternalLink faceted-paper-view.
- Local_quantum_field_theory wikiPageID "346489".
- Local_quantum_field_theory wikiPageRevisionID "596392841".
- Local_quantum_field_theory author2Link "Daniel Kastler".
- Local_quantum_field_theory authorlink "Rudolf Haag".
- Local_quantum_field_theory hasPhotoCollection Local_quantum_field_theory.
- Local_quantum_field_theory last "Haag".
- Local_quantum_field_theory last "Kastler".
- Local_quantum_field_theory year "1964".
- Local_quantum_field_theory subject Category:Quantum_field_theory.
- Local_quantum_field_theory comment "The Haag–Kastler axiomatic framework for quantum field theory, introduced by Haag and Kastler (1964), is an application to local quantum physics of C*-algebra theory. It is therefore also known as Algebraic Quantum Field Theory (AQFT). The axioms are stated in terms of an algebra given for every open set in Minkowski space, and mappings between those.Let Mink be the category of open subsets of Minkowski space M with inclusion maps as morphisms.".
- Local_quantum_field_theory label "Física local cuántica".
- Local_quantum_field_theory label "Local quantum field theory".
- Local_quantum_field_theory label "Lokalna kwantowa teoria pola".
- Local_quantum_field_theory label "Teoria quântica dos campos locais".
- Local_quantum_field_theory sameAs Física_local_cuántica.
- Local_quantum_field_theory sameAs Lokalna_kwantowa_teoria_pola.
- Local_quantum_field_theory sameAs Teoria_quântica_dos_campos_locais.
- Local_quantum_field_theory sameAs m.01ys4k.
- Local_quantum_field_theory sameAs Q602011.
- Local_quantum_field_theory sameAs Q602011.
- Local_quantum_field_theory wasDerivedFrom Local_quantum_field_theory?oldid=596392841.
- Local_quantum_field_theory isPrimaryTopicOf Local_quantum_field_theory.