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Nov 2, 2011 at 19:14 comment added Zohar Ko Generally that would mean that there is no dual four-dimensional description in the UV, and my objection is in order. (In other words, in this context it is not clear what holographic RG is good for and what should it be compared to.) A cascade is a kind of a middle ground, where there is no ultimate UV fixed point, but also the departure from ordinary Wilsonian physics is not very significant. So in the case of a cascade I would think the idea of holographic RG should make sense.
Nov 2, 2011 at 16:50 comment added user566 Sorry to muddy the waters with the wrong example. My question is whether a systematic understanding of the issue exists in any context in which the space-time does not have a conformal boundary.
Nov 2, 2011 at 15:12 comment added Zohar Ko Yes, KS is much better.
Nov 1, 2011 at 20:30 comment added user566 Yeah, Sakai-Sugimoto may not be the best example, maybe Klebanov-Strassler is better place to start.
Nov 1, 2011 at 20:02 comment added Zohar Ko Yes you can do that, but above the scale of pion physics it won't be four-dimensional. And at the scale of pion physics there is nothing beyond Leutwyler+Gasser.The interesting thing about holographic RG is that you can see the onset of confinement and symmetry breaking in a controlled setup which mirrors four-dimensional physics. That's not the case in Sakai-Sugimoto (to my understanding).
Nov 1, 2011 at 19:33 comment added user566 I am not sure I fully agree. The cleanest case is a complete RG flow for field theory defined at all scales. But, most effective field theories are not defined at all scales, normally that does not prevent you from defining cut-off independent quantities in the IR. Of course, this is easier said than done in the holographic context, but it is entirely possible there are some papers discussing this which I’ve missed.
Nov 1, 2011 at 19:19 history answered Zohar Ko CC BY-SA 3.0