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.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Polyakov loop canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T8297490 — 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: Polyakov loop Context triple: [Alexander Polyakov, notableConcept, Polyakov loop]
-
A.
Schwinger model
The Schwinger model is a two-dimensional quantum electrodynamics theory that serves as a exactly solvable toy model for studying phenomena like confinement, chiral symmetry breaking, and anomalies in quantum field theory.
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B.
Yang–Mills theory
Yang–Mills theory is a gauge field theory describing the behavior of non-abelian gauge fields, forming the mathematical foundation for modern particle physics, including the strong and electroweak interactions.
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C.
Montonen–Olive duality
Montonen–Olive duality is a conjectured symmetry in certain gauge theories, especially N=4 supersymmetric Yang–Mills, that exchanges electrically charged particles with magnetic monopoles and relates strong coupling to weak coupling.
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D.
Chern–Simons theory
Chern–Simons theory is a topological quantum field theory in three dimensions that plays a central role in modern geometry, topology, and theoretical physics, particularly in the study of knot invariants and gauge fields.
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E.
Slavnov–Taylor identities
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.
- 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: Polyakov loop Target entity description: The Polyakov loop is a gauge-invariant observable in finite-temperature quantum chromodynamics used to probe confinement and deconfinement phases of quarks and gluons.
-
A.
Schwinger model
The Schwinger model is a two-dimensional quantum electrodynamics theory that serves as a exactly solvable toy model for studying phenomena like confinement, chiral symmetry breaking, and anomalies in quantum field theory.
-
B.
Yang–Mills theory
Yang–Mills theory is a gauge field theory describing the behavior of non-abelian gauge fields, forming the mathematical foundation for modern particle physics, including the strong and electroweak interactions.
-
C.
Montonen–Olive duality
Montonen–Olive duality is a conjectured symmetry in certain gauge theories, especially N=4 supersymmetric Yang–Mills, that exchanges electrically charged particles with magnetic monopoles and relates strong coupling to weak coupling.
-
D.
Chern–Simons theory
Chern–Simons theory is a topological quantum field theory in three dimensions that plays a central role in modern geometry, topology, and theoretical physics, particularly in the study of knot invariants and gauge fields.
-
E.
Slavnov–Taylor identities
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.
- F. None of above. chosen
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 ⓘ |
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: Polyakov loop Description of subject: The Polyakov loop is a gauge-invariant observable in finite-temperature quantum chromodynamics used to probe confinement and deconfinement phases of quarks and gluons.
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.