Axiomatic Quantum Field Theory

foundations+12 moreresults+25 moreequationsoweddepends_on (declared)depends_on (declared)depends_on (declared)depends_on (declared)depends_on (declared)depends_on (declared)depends_on (declared)depends_on (declared)depends_on (declared)depends_on (declared)depends_on (declared)depends_on (declared)depends_on (declared)depends_on (declared)depends_on (declared)depends_on (declared)depends_on (declared)depends_on (declared)depends_on (declared)depends_on (declared)depends_on (declared)depends_on (declared)depends_on (declared)depends_on (declared)depends_on (declared)depends_on (declared)depends_on (declared)depends_on (declared)definition 109.2: Smeared field and test functions109.2 Smeared field an…notation 109.8: Conventions of this chapter109.8 Conventions of t…axiom 109.9: Relativistic states109.9 Relativistic sta…axiom 109.10: Spectrum condition109.10 Spectrum conditi…axiom 109.11: Unique vacuum109.11 Unique vacuumaxiom 109.12: Fields109.12 Fieldsaxiom 109.13: Covariance109.13 Covarianceaxiom 109.14: Local commutativity109.14 Local commutativ…axiom 109.15: Cyclicity of the vacuum109.15 Cyclicity of the…definition 109.19: Wightman functions109.19 Wightman functio…definition 109.27: The complex Lorentz group109.27 The complex Lore…definition 109.29: Jost points109.29 Jost pointsdefinition 109.33: Local polynomial algebra109.33 Local polynomial…proposition 109.1: The field at a point is not an operator109.1 The field at a p…theorem 109.4: Haag109.4 Haagcorollary 109.5: The interaction picture does not exist109.5 The interaction…proposition 109.20: Properties of the Wightman functions109.20 Properties of th…theorem 109.21: Wightman reconstruction109.21 Wightman reconst…proposition 109.23: Uniqueness of the vacuum equals clustering109.23 Uniqueness of th…lemma 109.25: Positivity of the cone pairing109.25 Positivity of th…theorem 109.26: Analyticity in the forward tube109.26 Analyticity in t…theorem 109.28: Bargmann–Hall–Wightman; imported109.28 Bargmann–Hall–Wi…theorem 109.30: Jost; imported109.30 Jost; importedproposition 109.31: Jost points exist109.31 Jost points existtheorem 109.34: Reeh–Schlieder109.34 Reeh–Schliedercorollary 109.35: No local operator annihilates the vacuum109.35 No local operato…equation 109.1: eq:axqft-free-wightmaneq. (109.1)equation 109.16: eq:axqft-wightman-supporteq. (109.16)equation 109.19: eq:axqft-clustereq. (109.19)equation 109.40: eq:axqft-kl-sum-ruleeq. (109.40)pending : ch:11-axiomatic-qft@pending-1pendingpending : ch:11-axiomatic-qft@pending-2pendingpending : ch:11-axiomatic-qft@pending-3pendingpending : ch:11-axiomatic-qft@pending-4pendingpending : ch:11-axiomatic-qft@pending-5pendingpending : ch:11-axiomatic-qft@pending-6pendingpending : ch:11-axiomatic-qft@pending-7pendingpending : ch:11-axiomatic-qft@pending-8pending
The chain of Axiomatic Quantum Field Theory: 38 of 75 objects, read left to right from what the chapter assumes to what tests it. Solid lines are declared logical edges, dashed ones were inferred from the structure of the source. Click any node to open its own chain.

Open the whole graph · Read this chapter · What is checked, and what is still owed