Statements (34)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:quantum_field_theory
Axioms Mathematical formulation |
| gptkbp:countryOfOrigin |
gptkb:United_States
|
| gptkbp:describes |
Properties of quantum fields as operator-valued distributions
|
| gptkbp:field |
gptkb:quantum_field_theory
Mathematical physics |
| gptkbp:firstPublished |
1956
|
| https://www.w3.org/2000/01/rdf-schema#label |
Wightman axioms
|
| gptkbp:include |
Axiom of covariance
Axiom of locality Axiom of positive energy Axiom of spectrum condition Axiom of vacuum |
| gptkbp:introducedIn |
1950s
|
| gptkbp:language |
gptkb:Hilbert_space_theory
Operator theory |
| gptkbp:namedAfter |
gptkb:Arthur_Wightman
|
| gptkbp:notableFor |
Proof of CPT theorem
Proof of spin-statistics theorem Rigorous construction of quantum field models |
| gptkbp:publishedBy |
gptkb:Arthur_Wightman
|
| gptkbp:purpose |
Provide a rigorous mathematical foundation for quantum field theory
|
| gptkbp:relatedTo |
gptkb:Haag–Kastler_axioms
gptkb:Osterwalder–Schrader_axioms |
| gptkbp:requires |
Existence of a unique vacuum state
Microcausality Poincaré invariance Quantum fields as operator-valued distributions Spectrum bounded below |
| gptkbp:usedIn |
gptkb:Algebraic_quantum_field_theory
gptkb:Constructive_quantum_field_theory |
| gptkbp:bfsParent |
gptkb:Arthur_Wightman
|
| gptkbp:bfsLayer |
5
|