’t Hooft coupling
E415089
The ’t Hooft coupling is a rescaled gauge coupling constant, central in large-N gauge theory and string theory, that remains finite in the ’t Hooft large-N limit and controls the strength of interactions.
All labels observed (2)
| Label | Occurrences |
|---|---|
| 't Hooft large-N limit | 1 |
| ’t Hooft coupling canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T4142070 — 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: ’t Hooft coupling Context triple: [Gerard ’t Hooft, notableWork, ’t Hooft coupling]
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A.
Gauge Theory Correlators from Non-Critical String Theory
"Gauge Theory Correlators from Non-Critical String Theory" is a research paper that explores how non-critical string theory can be used to compute correlation functions in gauge theories, contributing to the development and understanding of the AdS/CFT correspondence.
-
B.
AdS/CFT correspondence
The AdS/CFT correspondence is a conjectured duality in theoretical physics that equates a gravity theory in anti-de Sitter space with a conformal field theory on its boundary, providing a powerful framework for understanding quantum gravity and strongly coupled quantum field theories.
-
C.
Yukawa coupling
The Yukawa coupling is a parameter in quantum field theory that quantifies the strength of interaction between a scalar field (such as the Higgs field) and a fermion, determining the fermion’s mass after symmetry breaking.
-
D.
Gell-Mann–Low theorem
The Gell-Mann–Low theorem is a fundamental result in quantum field theory that rigorously connects interacting quantum fields to free fields via the adiabatic switching-on of interactions, underpinning the use of perturbation theory and the Dyson series.
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E.
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.
- 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: ’t Hooft coupling Target entity description: The ’t Hooft coupling is a rescaled gauge coupling constant, central in large-N gauge theory and string theory, that remains finite in the ’t Hooft large-N limit and controls the strength of interactions.
-
A.
Gauge Theory Correlators from Non-Critical String Theory
"Gauge Theory Correlators from Non-Critical String Theory" is a research paper that explores how non-critical string theory can be used to compute correlation functions in gauge theories, contributing to the development and understanding of the AdS/CFT correspondence.
-
B.
AdS/CFT correspondence
The AdS/CFT correspondence is a conjectured duality in theoretical physics that equates a gravity theory in anti-de Sitter space with a conformal field theory on its boundary, providing a powerful framework for understanding quantum gravity and strongly coupled quantum field theories.
-
C.
Yukawa coupling
The Yukawa coupling is a parameter in quantum field theory that quantifies the strength of interaction between a scalar field (such as the Higgs field) and a fermion, determining the fermion’s mass after symmetry breaking.
-
D.
Gell-Mann–Low theorem
The Gell-Mann–Low theorem is a fundamental result in quantum field theory that rigorously connects interacting quantum fields to free fields via the adiabatic switching-on of interactions, underpinning the use of perturbation theory and the Dyson series.
-
E.
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.
- F. None of above. chosen
Statements (45)
| Predicate | Object |
|---|---|
| instanceOf |
coupling constant
ⓘ
physical quantity ⓘ |
| appliesTo |
gauge theory
ⓘ
surface form:
SU(N) gauge theories
|
| category | renormalized coupling ⓘ |
| controls |
convergence properties of large-N expansion
ⓘ
weight of Feynman diagrams in large-N expansion ⓘ |
| definition | λ = g^2 N ⓘ |
| dependsOn |
gauge coupling g
ⓘ
rank of gauge group N ⓘ |
| field |
gauge theory
ⓘ
quantum field theory ⓘ string theory ⓘ theoretical physics ⓘ |
| hasAspect |
strong 't Hooft coupling regime
ⓘ
weak 't Hooft coupling regime ⓘ |
| limitCondition | N → ∞ with λ fixed ⓘ |
| namedAfter |
Gerard ’t Hooft
ⓘ
surface form:
Gerard 't Hooft
|
| property |
dimensionless in four-dimensional gauge theories
ⓘ
remains finite in 't Hooft large-N limit ⓘ scale dependent in asymptotically free theories ⓘ |
| relatedTo |
Wilson loops in large-N limit
ⓘ
anomalous dimensions of operators ⓘ beta function of gauge theory ⓘ curvature radius of AdS space ⓘ double-scaling limits in matrix models ⓘ AdS/CFT correspondence ⓘ
surface form:
gauge-string duality
genus expansion in string theory ⓘ integrability in N = 4 SYM ⓘ planar diagram expansion ⓘ planar limit of QCD-like theories ⓘ string coupling g_s via large-N dualities ⓘ string tension in AdS/CFT ⓘ strong-weak coupling duality ⓘ |
| role |
connects gauge theory perturbation theory to string perturbation theory
ⓘ
controls interaction strength in large-N limit ⓘ effective coupling in AdS/CFT duality ⓘ effective expansion parameter for planar diagrams ⓘ organizes perturbative expansion in 1/N ⓘ |
| symbol | λ ⓘ |
| usedFor | matching gauge theory and string theory parameters ⓘ |
| usedIn |
’t Hooft coupling
self-linksurface differs
ⓘ
surface form:
't Hooft large-N limit
AdS/CFT correspondence ⓘ Yang–Mills theory ⓘ
surface form:
N = 4 supersymmetric Yang–Mills theory
large-N gauge theory ⓘ matrix models ⓘ |
How these facts were elicited
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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: ’t Hooft coupling Description of subject: The ’t Hooft coupling is a rescaled gauge coupling constant, central in large-N gauge theory and string theory, that remains finite in the ’t Hooft large-N limit and controls the strength of interactions.
Referenced by (2)
Full triples — surface form annotated when it differs from this entity's canonical label.
subject surface form:
't Hooft coupling
this entity surface form:
't Hooft large-N limit