Axiomatic quantum field theory

Local quantum field theory

The Haag–Kastler axiomatic framework for quantum field theory, introduced by Haag and Kastler, is an application to local quantum physics of C*-algebra theory. Because of this it is 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. (Wikipedia).

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From playlist Quantum Field Theory

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Poincaré group | State (functional analysis) | Norm (mathematics) | Causal structure | Group representation | Unital algebra | Net (mathematics) | Isomorphism | Light cone | Inclusion map | Renormalization | Partial trace | C*-algebra | Pullback | Minkowski space | Positive linear functional | Category theory | Morphism | Monomorphism | Equivalence relation | Hilbert space | Unitary representation | Irreducible representation | Image (mathematics) | Open set