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AdS/CFT

156. Again about condensed matter applications of AdS-CFT

Peter Horava has recently released a somewhat mysterious paper about non-relativistic Yang-Mills theories. Since I was unable to understand why one should be ultimately interested to consider such exotic beasts (that is, non-relativistic YM theories), I decided to postpone the reading until understanding will eventually appear due to background work of my brain :-)

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126. From quarks to strings. Migdal-Makeenko equation and AdS-CFT correspondence

Although Lubos wants to see my answer to the poll ;-) , I decided to finish my analysis of the recent Polyakov’s paper today.

Page 6. In order to justify my picture I have used intuition coming from the loop equation, while Klebanov and Maldacena appealed to the D brane picture of the gauge fielauds. Both points of view are useful but neither of them lead to the quantitative derivation of gauge/string duality.

Comment. He is talking about the Migdal-Makeenko loop equation for the expectation value of the Wilson loop \langle{}W(C){}\rangle. After Migdal’s groundbreaking proof of the fact that this equation describes a free motion of the contour C in the large N_c limit (1981, if I am not wrong (?), even before the Polyakov’s action), not much  progress has been reported in this direction. The main reason is that the Migdal-Makeenko equations are formulated on the lattice, and no their continuum limit is known (it is not clear how to perform the renormalization procedure for loops).

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125. From quarks to strings. On Liouville mode, instantons and confinement in abelian theories

Alexander Polyakov have released this week a preprint about history of string theory, which is also so full of non-trivial physical ideas that I decided to list some of them in this post as well as to include my comments (or rather my ramblings :-) )

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123. AdS/CFT and condensed matter applications

This post is going to be, I think, somewhat controversial :-) but… if you feel that I greatly miss some important point regarding the subject, then please feel free to explain that to me in the comments. And the subject is… ta-da-da-daam…

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35. Lectures on AdS/CFT by Maldacena

Lectures on AdS/CFT by Juan Maldacena