Slavnov–Taylor identities
E553294
Slavnov–Taylor identities are relations in non-Abelian gauge theories that generalize Ward identities, ensuring the consistency and renormalizability of gauge-invariant quantum field theories.
Statements (44)
| Predicate | Object |
|---|---|
| instanceOf |
gauge theory identity
ⓘ
non-Abelian Ward identity ⓘ quantum field theory concept ⓘ |
| appliesTo | non-Abelian gauge theories ⓘ |
| assumes |
local gauge symmetry
ⓘ
renormalizable gauge theory ⓘ |
| category | symmetry identities in quantum field theory ⓘ |
| constrains |
propagators in gauge theories
ⓘ
renormalization constants of couplings ⓘ renormalization constants of fields ⓘ vertex functions ⓘ |
| dependsOn |
gauge-fixing terms
ⓘ
ghost fields ⓘ |
| derivedFrom |
BRST symmetry
ⓘ
gauge invariance of the path integral ⓘ |
| ensures |
consistency of gauge-invariant quantization
ⓘ
gauge invariance at the quantum level ⓘ renormalizability of gauge theories ⓘ |
| expressedIn |
configuration space
ⓘ
momentum space ⓘ |
| field |
gauge theory
ⓘ
quantum field theory ⓘ theoretical physics ⓘ |
| generalizes | Ward identities ⓘ |
| guarantees |
consistency of loop corrections with gauge invariance
ⓘ
preservation of gauge symmetry under renormalization ⓘ |
| holdsIn |
BRST-invariant quantization schemes
ⓘ
covariant gauges ⓘ |
| namedAfter |
Andrei Slavnov
NERFINISHED
ⓘ
John C. Taylor NERFINISHED ⓘ |
| relatedTo |
Becchi–Rouet–Stora–Tyutin symmetry
NERFINISHED
ⓘ
Faddeev–Popov quantization NERFINISHED ⓘ Ward–Takahashi identities NERFINISHED ⓘ |
| relates |
Green’s functions in gauge theories
ⓘ
renormalization constants in gauge theories ⓘ |
| typeOf | functional identities ⓘ |
| usedFor |
checking gauge-parameter independence of observables
ⓘ
constraining counterterms ⓘ proving renormalizability of gauge theories ⓘ proving unitarity in gauge theories ⓘ |
| usedIn |
Yang–Mills theory
NERFINISHED
ⓘ
electroweak theory NERFINISHED ⓘ quantum chromodynamics NERFINISHED ⓘ renormalization of non-Abelian gauge theories ⓘ |
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.