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"S-duality" between confinement and the Higgs mechanism?

+ 13 like - 0 dislike
85 views

I feel picked by the second to last sentence in this answer to a question about what would happen if EM and QCD were spontaneously broken, which says

"In fact, there is a sense in theoretical physics in which confinement is complementary to Higgsing – it's the same thing in different ("opposite", "S-dual") variables"

to explain further why a broken $SU(3)$ gauge group could not be confining.

I'd like to see a further explanation of this. For example which of the weak/strong regime would correspond to the higgsing/confinement regime? Is it as I naively expect from the cited comment, the strong coupling constant that is used to establish the S-duality, or does it work via a more unified higher energy scale coupling constant? Heck, I'd just like to know in some more detail than just this comment, how it works.

asked May 26, 2013 in Theoretical Physics by Dilaton (4,175 points) [ revision history ]
edited Apr 19, 2014 by dimension10
Most voted comments show all comments
I think Seiberg-Witten's work in 1994 answers most of your question except in SUSY frame.

This post imported from StackExchange Physics at 2014-03-09 16:18 (UCT), posted by SE-user Craig Thone
Thanks @CraigThone, do you have a link? If you could explain it a bit, maybe in the form of an answer, I would certainly appreciate this :-)

This post imported from StackExchange Physics at 2014-03-09 16:18 (UCT), posted by SE-user Dilaton
arxiv.org/abs/hep-th/9407087

This post imported from StackExchange Physics at 2014-03-09 16:18 (UCT), posted by SE-user Craig Thone
In this paper, SW studied the strong coupling dynamics of N=2 gauge theory and realized the confinement as monopole condensation for the first time. That is, for strong coupling of N=2 gauge theory there is a dual description in dual variables (EM dual). In the dual description which is weekly coupled, the confinement is described by Higgs mechanism of dual variables. This is from absreact of Seiberg-Witten.

This post imported from StackExchange Physics at 2014-03-09 16:18 (UCT), posted by SE-user Craig Thone
Some talks explaining this -- tp2.ruhr-uni-bochum.de/lehre/skripte/qcd/solitons/… and pdmi.ras.ru/EIMI/2013/stmp/talks/Yung.pdf

This post imported from StackExchange Physics at 2014-03-09 16:18 (UCT), posted by SE-user Siva
Most recent comments show all comments
@Prathyush, Lumo could write more about it, if he wanted to ...

This post imported from StackExchange Physics at 2014-03-09 16:18 (UCT), posted by SE-user Dilaton
It will be nice if he does, Perhaps I should work towards the paper posted in the comments instead.

This post imported from StackExchange Physics at 2014-03-09 16:18 (UCT), posted by SE-user Prathyush

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