algebraic quantum field theory
E645108
Algebraic quantum field theory is a mathematically rigorous framework for quantum field theory that emphasizes the algebraic structure of observables and their locality properties in spacetime.
Statements (51)
| Predicate | Object |
|---|---|
| instanceOf |
approach to quantum field theory
ⓘ
mathematical framework ⓘ research area in mathematical physics ⓘ |
| alsoKnownAs |
AQFT
NERFINISHED
ⓘ
local quantum physics ⓘ |
| appliesTo |
Minkowski spacetime
NERFINISHED
ⓘ
curved spacetimes ⓘ |
| basedOn |
causality
ⓘ
existence of vacuum state ⓘ locality principle ⓘ relativistic covariance ⓘ spectrum condition ⓘ |
| describes | observables associated with bounded spacetime regions ⓘ |
| developedBy |
Bert Schroer
NERFINISHED
ⓘ
Daniel Kastler NERFINISHED ⓘ H. Araki NERFINISHED ⓘ John E. Roberts NERFINISHED ⓘ Rudolf Haag NERFINISHED ⓘ Sergio Doplicher NERFINISHED ⓘ |
| emphasizes |
algebraic structure of observables
ⓘ
locality properties in spacetime ⓘ |
| field |
mathematical physics
ⓘ
quantum field theory ⓘ |
| formalism |
Haag–Kastler axioms
NERFINISHED
ⓘ
net of local algebras ⓘ |
| hasApplication |
black hole thermodynamics
ⓘ
quantum fields in curved spacetime ⓘ quantum statistical mechanics ⓘ |
| hasAxiom | Haag duality in some models ⓘ |
| hasConcept |
Doplicher–Haag–Roberts superselection theory
NERFINISHED
ⓘ
KMS states ⓘ net of local observables ⓘ quasi-local algebra ⓘ |
| imposes |
Poincaré covariance
ⓘ
additivity of local algebras ⓘ isotony of local algebras ⓘ local commutativity or microcausality ⓘ time-slice axiom in some formulations ⓘ |
| models | quantum fields as nets of operator algebras over spacetime regions ⓘ |
| provides | rigorous framework for quantum field theory ⓘ |
| relatedTo |
Wightman axioms
NERFINISHED
ⓘ
conformal field theory ⓘ constructive quantum field theory ⓘ modular theory of von Neumann algebras ⓘ |
| studies |
charge localization
ⓘ
entanglement in quantum field theory ⓘ superselection sectors ⓘ thermal states in quantum field theory ⓘ |
| uses |
C*-algebras
NERFINISHED
ⓘ
operator algebras ⓘ von Neumann algebras NERFINISHED ⓘ |
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.