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• CommentRowNumber1.
• CommentAuthorzskoda
• CommentTimeApr 7th 2010

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.

• CommentRowNumber2.
• CommentAuthorUrs
• CommentTimeJan 5th 2020
• (edited Jan 5th 2020)

added references on ’t Hooft double line notation for gauge group $SO(N)$ and unoriented worldsheets

(I see that Predag Cvitanovic says in his Birdtracks book that he has something on this, but I haven’t extracted that yet.)

• CommentRowNumber3.
• CommentAuthorDavid_Corfield
• CommentTimeJan 6th 2020

He seems (p. 42) to be referring to Fig. 16 of this. Presumably he absorbed this into his Birdtracks notation.

• CommentRowNumber4.
• CommentAuthorUrs
• CommentTimeJan 6th 2020

That’s it, Thanks!!

I’ll be starting a dedicated entry ’t Hooft double line construction

• CommentRowNumber5.
• CommentAuthorDavid_Corfield
• CommentTimeJan 6th 2020

On the ’Literature’ tab of his site, he says that paper is superseded by his book,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.

• CommentRowNumber6.
• CommentAuthorUrs
• CommentTimeJan 6th 2020

Thanks. Do you see where in the book this is? (BTW, finally found the pdf…)

• CommentRowNumber7.
• CommentAuthorDavid_Corfield
• CommentTimeJan 6th 2020

Is that (9.57)?

• CommentRowNumber8.
• CommentAuthorUrs
• CommentTimeJan 6th 2020

Thanks! Yes, that’s at least the case of $\mathfrak{su}(N)$.

• CommentRowNumber9.
• CommentAuthorDavid_Corfield
• CommentTimeJan 6th 2020

Presumably the notation in (10.13) and (12.9) is giving those results for $SO(n)$ and $Sp(n)$.

• CommentRowNumber10.
• CommentAuthorUrs
• CommentTimeJan 6th 2020

Thanks again! Have now added this here.

• CommentRowNumber11.
• CommentAuthorUrs
• CommentTimeJan 6th 2020

I have re-written and considerably expanded the Idea-section.

Also expanded and (re-)organized the list of references.

• CommentRowNumber12.
• CommentAuthorUrs
• CommentTimeJan 29th 2020

added pointer to today’s

• Margarita Garcia Perez, Prospects for large $N$ gauge theories on the lattice (arXiv:2001.10859)
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