Polyakov loop
E724409
The Polyakov loop is a gauge-invariant observable in finite-temperature quantum chromodynamics used to probe confinement and deconfinement phases of quarks and gluons.
Statements (48)
| Predicate | Object |
|---|---|
| instanceOf |
Wilson line
ⓘ
gauge-invariant observable ⓘ non-local operator ⓘ order parameter ⓘ |
| appearsIn |
effective models of QCD such as PNJL and PQM models
ⓘ
studies of SU(2) and SU(3) gauge theories ⓘ |
| behaviorInConfinementPhase | expectation value vanishes in pure gauge theory ⓘ |
| behaviorInDeconfinedPhase | expectation value is non-zero in pure gauge theory ⓘ |
| definedAs | path-ordered exponential of the temporal gauge field around the compactified time circle ⓘ |
| definedIn | Euclidean finite-temperature formalism ⓘ |
| definedOn | spatial lattice sites in lattice QCD ⓘ |
| dependsOn |
Euclidean time direction
ⓘ
inverse temperature ⓘ |
| fieldOfStudy |
finite-temperature quantum field theory
ⓘ
lattice gauge theory ⓘ quantum chromodynamics ⓘ |
| gaugeProperty | gauge invariant up to a center transformation ⓘ |
| hasDomain |
SU(N) gauge theory
NERFINISHED
ⓘ
non-Abelian gauge theory ⓘ |
| hasVariant |
Polyakov loop correlator
NERFINISHED
ⓘ
adjoint Polyakov loop ⓘ renormalized Polyakov loop ⓘ |
| mathematicalNature | trace of a temporal Wilson line in the fundamental representation ⓘ |
| namedAfter | Alexander Polyakov NERFINISHED ⓘ |
| probes |
deconfinement temperature
ⓘ
quark confinement ⓘ quark-gluon plasma formation ⓘ |
| relatedTo |
Polyakov line
NERFINISHED
ⓘ
Wilson loop ⓘ Z(N) center of SU(N) ⓘ center symmetry ⓘ confinement order parameter ⓘ deconfinement order parameter ⓘ free energy of a static quark ⓘ screening of color charges ⓘ static quark-antiquark potential at finite temperature ⓘ |
| roleInEffectiveModels | encodes coupling of quarks to background temporal gauge field ⓘ |
| temperatureDependence | sensitive to the compactification length of Euclidean time ⓘ |
| transformsUnder | center symmetry of the gauge group ⓘ |
| usedAs |
diagnostic of phase structure in QCD
ⓘ
indicator of center-symmetry breaking ⓘ |
| usedIn |
finite-temperature QCD
ⓘ
heavy-quark free energy calculations ⓘ lattice QCD simulations ⓘ pure gauge SU(3) theory ⓘ studies of deconfinement transition ⓘ studies of quark confinement ⓘ |
| usedToDetermine | critical temperature of deconfinement in pure gauge theories ⓘ |
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.