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    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeJan 24th 2020

    Starting something. Not done yet, but need to save.

    v1, current

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeJan 24th 2020

    now some minimum in place.

    v1, current

    • CommentRowNumber3.
    • CommentAuthorDavid_Corfield
    • CommentTimeJan 24th 2020

    I was just reminded of John Baez years ago describing Bar-Natan’s paper on the four-color problem and the relation between SU(2)SU(2) and SU(n)SU(n) gauge theory. Bar-Natan’s paper is here.

    • CommentRowNumber4.
    • CommentAuthorUrs
    • CommentTimeJan 24th 2020

    Thanks, excellent. So let’s add that to all related entries:

    On the logical equivalence between the four-colour theorem and a statement about transition from the small N limit to the large N limit for Lie algebra weight systems on Jacobi diagrams via the ’t Hooft double line construction:

    • CommentRowNumber5.
    • CommentAuthorUrs
    • CommentTimeJan 24th 2020
    • (edited Jan 24th 2020)

    I wonder if Bar-Natan didn’t know that the double line construction he uses so effectively is earlier due to ’t Hooft, or if he intentionally chose to never cite him. Seems a curious omission.

    • CommentRowNumber6.
    • CommentAuthorDavid_Corfield
    • CommentTimeJan 24th 2020

    That would be fun if M-theory could help out with the four-colour problem!

    • CommentRowNumber7.
    • CommentAuthorUrs
    • CommentTimeJan 24th 2020

    added this pointer on 1/N corrections in 2d QCD:

    diff, v4, current

    • CommentRowNumber8.
    • CommentAuthorUrs
    • CommentTimeJan 24th 2020

    added this pointer:

    • David Jorrin, Nicolas Kovensky, Martin Schvellinger, Towards 1/N1/N corrections to deep inelastic scattering from the gauge/gravity duality, JHEP 04 (2016) 113 (arXiv:1601.01627)

    diff, v4, current

    • CommentRowNumber9.
    • CommentAuthorUrs
    • CommentTimeMar 11th 2020

    added pointer to

    • Masayasu Harada, Shinya Matsuzaki, and Koichi Yamawaki, Implications of holographic QCD in chiral perturbation theory with hidden local symmetry, Phys. Rev. D 74, 076004 (2006) (doi:10.1103/PhysRevD.74.076004)

    diff, v7, current

    • CommentRowNumber10.
    • CommentAuthorUrs
    • CommentTimeAug 30th 2021

    added pointer to today’s:

    • Yosuke Imamura, Finite-NN superconformal index via the AdS/CFT correspondence (arXiv:2108.12090)

    diff, v10, current

    • CommentRowNumber11.
    • CommentAuthorUrs
    • CommentTimeJul 12th 2023
    • (edited Jul 12th 2023)

    added pointer to:

    with this quote:

    26:26: “by now it’s clear [Lucini & Teper 2001] that lattice gauge theory, at least for the glueball sector, has made it clear that the 1/N1/N-expansion is a good approximation to the real world, especially if you include a leading correction to the large NN limit. Now unfortunately this is best established in the glueball sector, which is not very accessible experimentally.”

    28:56: “but the 1/N1/N expansion doesn’t explain everything. In fact, it’s not hard to find phenomena in meson physics where the 1/N1/N-expansion does not work well.”

    36:15: “I suspect the 1/N1/N-expansion works reasonably well for many aspects of baryons. However, as for mesons, it is easy to point to things that won’t work well for baryons. In particular, among other things, I don’t think the 1/N1/N expansion will be successful for nuclei as opposed to individual nucleons.”

    37:12: “I don’ t think the phenomenological models used by nuclear physicists would have any success at of if the large N limit was a good description of nuclei.”

    diff, v11, current

    • CommentRowNumber12.
    • CommentAuthorUrs
    • CommentTimeJul 1st 2024

    added pointer to:

    diff, v15, current