nLab 't Hooft coupling

Idea

In Yang-Mills theory/QCD with coupling constant $g_{YM}$ and with $N_c$ colours, the ‘t Hooft coupling is the expression

$\lambda \;\coloneqq\; g_{YM^2} N_c \,.$

Properties

In the large $N$ limit

The study of Yang-Mills theory in the large N limit but at fixed ‘t Hooft coupling controls the AdS/CFT correspondence:

large N limit$N_c \to \infty$ at fixed 't Hooft coupling $\lambda = g_{YM^2} N_c$

$\lambda \lt 1$$\lambda \gt 1$
perturbative Yang-Mills theoryperturbative quantum gravity on AdS spacetime

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References

The original article

Review:

Last revised on November 5, 2019 at 14:32:35. See the history of this page for a list of all contributions to it.