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 |
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 ⓘ |
Referenced by (8)
Full triples — surface form annotated when it differs from this entity's canonical label.
this entity surface form:
LSZ scattering theory