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What is the advantage of AdS/CFT in studying strongly coupled systems compared with lattice methods

+ 3 like - 0 dislike
940 views

I often heard that AdS/CFT correspondence provides a powerful framework to study strongly coupled systems, to which perturbation is not applicable. However, lattice methods still work in the non-perturbative domain. My question is, what is the advantage of AdS/CFT? Is there any example impossible to access by lattice method (I don't mind lattice get numerical than analytic results)?


This post imported from StackExchange Physics at 2014-07-21 09:31 (UCT), posted by SE-user user26143

asked Jul 21, 2014 in Theoretical Physics by user26143 (360 points) [ revision history ]
edited Jul 21, 2014 by Arnold Neumaier
Lattice methods are computationally very intensive and offer _only_ numbers as results, no insight. AdS/CFT provides more of the latter. Apart from that I can't tell when which approach would be better. Let them compete until time tells...
Forgive my ignorance, I thought AdS/CFT is a technical advance to map a strongly coupled field theory to weakly coupled gravity theory, which is easier to solve. What kind of physical insight it has been provided?

1 Answer

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Since computations at strong coupling are hard, if not impossible, to do, any method that can provide a handle on strong coupling computations is great.  In that sense, both lattice and AdS-CFT are good. To be honest, I don't even think one should be comparing the two methods. I shall however try. Fermion doubling is an issue on the lattice (I am no expert and am sure that there are ways to get around it) but that is not an issue in the AdS-CFT correspondence. The AdS-CFT (more generally, the gauge-gravity) correspondence gets weaker as the supersymmetry is reduced  and things can get dicey, I believe, when there is no supersymmetry. Lattice methods might work better in such situations (think of pure QCD).

answered Jul 21, 2014 by suresh (1,535 points) [ revision history ]
edited Jul 21, 2014 by Arnold Neumaier

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