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We should have an entry on large N limit gradually. But sometimes it can be treated as a semiclassical limit. I quoted a reference by Yaffe where I originally read of that approach to the entry semiclassical expansion.
He seems (p. 42) to be referring to Fig. 16 of this. Presumably he absorbed this into his Birdtracks notation.
That’s it, Thanks!!
I’ll be starting a dedicated entry ’t Hooft double line construction…
On the ’Literature’ tab of his site, he says that paper is superseded by his book,
but contains interesting material (counting of invariants, graphs, etc.,) not included in the webbook.
Thanks. Do you see where in the book this is? (BTW, finally found the pdf…)
Is that (9.57)?
Thanks! Yes, that’s at least the case of $\mathfrak{su}(N)$.
Presumably the notation in (10.13) and (12.9) is giving those results for $SO(n)$ and $Sp(n)$.
Thanks again! Have now added this here.
added pointer to today’s
added these early references:
A. Gonzalez-Arroyo, M. Okawa, A twisted model for large $N$ lattice gauge theory, Physics Letters B Volume 120, Issues 1–3, 6 January 1983, Pages 174-178 (doi:10.1016/0370-2693(83)90647-0)
A. Gonzalez-Arroyo, M. Okawa, Twisted-Eguchi-Kawai model: A reduced model for large- $N$ lattice gauge theory, Phys. Rev. D 27, 2397 (1983) (doi:10.1103/PhysRevD.27.2397)
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