’t Hooft coupling

E415089

coupling constant physical quantity

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.

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All labels observed (2)

Label	Occurrences
't Hooft large-N limit	1
’t Hooft coupling canonical	1

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 ⓘ

Referenced by (2)

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

Gerard ’t Hooft → notableWork → ’t Hooft coupling ⓘ

’t Hooft coupling → usedIn → ’t Hooft coupling self-linksurface differs ⓘ

subject surface form: 't Hooft coupling

this entity surface form: 't Hooft large-N limit