Faddeev–Popov ghosts

E860357
Grassmann-valued field anticommuting field auxiliary field concept in quantum field theory ghost field tool in path integral quantization

Faddeev–Popov ghosts are auxiliary, anticommuting fields introduced in the path integral quantization of non-Abelian gauge theories to correctly account for gauge redundancy and maintain unitarity and renormalizability.

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Observed surface forms (1)

Surface form Occurrences
BRST symmetry 1

Statements (49)

Predicate Object
instanceOf Grassmann-valued field ⓘ
anticommuting field ⓘ
auxiliary field ⓘ
concept in quantum field theory ⓘ
ghost field ⓘ
tool in path integral quantization ⓘ
anticommutationProperty Grassmann-odd ⓘ
appearIn BRST-invariant Lagrangian ⓘ
Faddeev–Popov procedure NERFINISHED ⓘ
gauge-fixed action ⓘ
appearInGauge Feynman gauge NERFINISHED ⓘ
Landau gauge NERFINISHED ⓘ
Rξ gauges ⓘ
associatedWith gauge group generators ⓘ
contributeTo loop corrections ⓘ
doNotAppearAs asymptotic physical states ⓘ
external lines in physical S-matrix elements ⓘ
enterAs additional fields in the gauge-fixed Lagrangian ⓘ
fieldType complex scalar Grassmann field ⓘ
introducedBy Ludvig Faddeev NERFINISHED ⓘ
Victor Popov NERFINISHED ⓘ
introducedIn path integral formalism ⓘ
introducedInPublication Faddeev and Popov 1967 paper on gauge fields NERFINISHED ⓘ
introducedTo correctly account for gauge volume factor ⓘ
ensure renormalizability ⓘ
fix gauge in path integrals ⓘ
handle gauge redundancy ⓘ
maintain unitarity ⓘ
liveIn adjoint representation of the gauge group ⓘ
LorentzTransformationProperty scalar ⓘ
mathematicalRole represent Faddeev–Popov determinant ⓘ
namedAfter Ludvig Faddeev NERFINISHED ⓘ
Victor Popov NERFINISHED ⓘ
notRequiredIn Abelian gauge theories in simple gauges ⓘ
propagateIn internal lines of Feynman diagrams ⓘ
relatedConcept BRST symmetry NERFINISHED ⓘ
Faddeev–Popov determinant NERFINISHED ⓘ
Fadeev–Popov method NERFINISHED ⓘ
Slavnov–Taylor identities NERFINISHED ⓘ
gauge fixing ⓘ
requiredIn covariant gauge quantization of non-Abelian theories ⓘ
roleInGaugeTheories cancel unphysical gauge degrees of freedom ⓘ
ensure consistency of quantization of non-Abelian fields ⓘ
preserve gauge invariance at quantum level ⓘ
spin 0 ⓘ
statistics fermionic ⓘ
usedIn Yang–Mills theory NERFINISHED ⓘ
non-Abelian gauge theory ⓘ
quantum chromodynamics NERFINISHED ⓘ

Referenced by (3)

Full triples — surface form annotated when it differs from this entity's canonical label.

Yang–Mills theory → includesFeature → Faddeev–Popov ghosts ⓘ
’t Hooft–Veltman gauge → relatedTo → Faddeev–Popov ghosts ⓘ
subject surface form: 't Hooft–Veltman gauge
’t Hooft–Veltman gauge → relatedTo → Faddeev–Popov ghosts ⓘ
subject surface form: 't Hooft–Veltman gauge
this entity surface form: BRST symmetry