LSZ reduction formula
E59632
The LSZ reduction formula is a key result in quantum field theory that relates time-ordered correlation functions of fields to observable scattering amplitudes in the S-matrix.
All labels observed (2)
| Label | Occurrences |
|---|---|
| LSZ reduction formula canonical | 7 |
| LSZ scattering theory | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T478399 — resolving that mention is where its identity was fixed. The disambiguator weighed these candidate entities and picked the highlighted one (or “None”, minting a new entity). This is how homonymy is resolved: the same surface form can point to different entities.
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: LSZ reduction formula Context triple: [S-matrix, relatedConcept, LSZ reduction formula]
-
A.
Dyson’s proof of equivalence of Feynman and Schwinger–Tomonaga formulations of QED
Dyson’s proof of equivalence of Feynman and Schwinger–Tomonaga formulations of QED is a landmark theoretical result that rigorously demonstrated the mathematical consistency and mutual compatibility of different approaches to quantum electrodynamics.
-
B.
S-matrix
The S-matrix (scattering matrix) is a fundamental construct in quantum field theory that encodes the probabilities for transitions between initial and final particle states in scattering processes.
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C.
Feynman rules
Feynman rules are a set of prescriptions in quantum field theory that translate particle interactions into mathematical expressions using Feynman diagrams to compute scattering amplitudes and other physical quantities.
-
D.
Feynman diagrams
Feynman diagrams are graphical representations used in quantum field theory to visualize and calculate particle interactions and processes.
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E.
Feynman path integral
The Feynman path integral is a formulation of quantum mechanics in which a particle’s behavior is described as a sum over all possible paths it can take, each weighted by a phase factor derived from the classical action.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: LSZ reduction formula Target entity description: The LSZ reduction formula is a key result in quantum field theory that relates time-ordered correlation functions of fields to observable scattering amplitudes in the S-matrix.
-
A.
Dyson’s proof of equivalence of Feynman and Schwinger–Tomonaga formulations of QED
Dyson’s proof of equivalence of Feynman and Schwinger–Tomonaga formulations of QED is a landmark theoretical result that rigorously demonstrated the mathematical consistency and mutual compatibility of different approaches to quantum electrodynamics.
-
B.
S-matrix
The S-matrix (scattering matrix) is a fundamental construct in quantum field theory that encodes the probabilities for transitions between initial and final particle states in scattering processes.
-
C.
Feynman rules
Feynman rules are a set of prescriptions in quantum field theory that translate particle interactions into mathematical expressions using Feynman diagrams to compute scattering amplitudes and other physical quantities.
-
D.
Feynman diagrams
Feynman diagrams are graphical representations used in quantum field theory to visualize and calculate particle interactions and processes.
-
E.
Feynman path integral
The Feynman path integral is a formulation of quantum mechanics in which a particle’s behavior is described as a sum over all possible paths it can take, each weighted by a phase factor derived from the classical action.
- F. None of above. chosen
Statements (48)
| Predicate | Object |
|---|---|
| instanceOf |
quantum field theory formula
ⓘ
scattering theory formalism ⓘ |
| appliesTo |
gauge theories
ⓘ
relativistic quantum field theories ⓘ scalar quantum field theories ⓘ spinor quantum field theories ⓘ |
| assumes |
adiabatic switching of interactions
ⓘ
asymptotic completeness ⓘ existence of asymptotic in and out states ⓘ |
| connects | operator formalism and observable scattering data ⓘ |
| distinguishes |
free asymptotic fields
ⓘ
interacting Heisenberg fields ⓘ |
| expresses | S-matrix elements as residues of Green's functions at particle poles ⓘ |
| field |
quantum field theory
ⓘ
theoretical physics ⓘ |
| formalismType | reduction formula ⓘ |
| hasPurpose | compute scattering amplitudes from correlation functions ⓘ |
| historicalPeriod | mid 20th century ⓘ |
| holdsFor | in and out asymptotic fields ⓘ |
| implies | equivalence between field-theoretic description and particle scattering description ⓘ |
| isFoundationFor | modern S-matrix theory in quantum field theory ⓘ |
| isToolFor |
deriving Feynman rules for scattering amplitudes
ⓘ
perturbative calculations in quantum field theory ⓘ |
| mathematicalNature | limit of Fourier-transformed time-ordered correlators at on-shell momenta ⓘ |
| namedAfter |
Harry Lehmann
ⓘ
Kurt Symanzik ⓘ Wolfgang Zimmermann ⓘ |
| relatedTo |
Feynman propagator
ⓘ
Haag-Ruelle scattering theory ⓘ S-matrix ⓘ Wightman functions ⓘ renormalization ⓘ |
| relates |
Green's functions
ⓘ
S-matrix elements ⓘ n-point correlation functions ⓘ scattering amplitudes ⓘ time-ordered correlation functions ⓘ |
| requires | knowledge of full interacting Green's functions ⓘ |
| usedIn |
electroweak theory
ⓘ
high-energy particle physics ⓘ quantum chromodynamics ⓘ quantum electrodynamics ⓘ |
| usesConcept |
Fourier analysis
ⓘ
surface form:
Fourier transform
amputated Green's functions ⓘ on-shell limit ⓘ pole structure of propagators ⓘ time-ordered products ⓘ wave-function renormalization constant ⓘ |
How these facts were elicited
The pipeline generated the facts above by prompting gpt-5.1 with this entity's name + description and the instruction below.
Instruction
You are a knowledge base construction expert. Given a subject entity and a description of it, return factual statements that you know for the subject as a JSON list of dictionaries(triples), where keys must be "subject", "predicate" and "object". The number of facts may be very high, between 25 to 50 or more, for very popular subjects. For less popular subjects, the number of facts can be very low, like 5 or 10. # Requirements - If you don't know the subject at all, return an empty list. - If the subject is not a named entity, return an empty list. - Include at least one triple where predicate is "instanceOf". - Do not get too wordy. - Separate several objects into multiple triples with one object.
Input
Subject: LSZ reduction formula Description of subject: The LSZ reduction formula is a key result in quantum field theory that relates time-ordered correlation functions of fields to observable scattering amplitudes in the S-matrix.
Referenced by (8)
Full triples — surface form annotated when it differs from this entity's canonical label.
this entity surface form:
LSZ scattering theory