Non-perturbative Field Theory

Details Non-perturbative Field Theory Non-perturbative Field Theory

2009-10-05

arxiv.org/abs/0910.0812v1

PoS EPS-HEP2009 2009:021,2009

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, 2 figures; plenary talk at EPS Europhysics Conference on High Energy Physics, July 16-22, 2009, Krakow, Poland

Scientific paper

In this talk we review recent developments which enable us to use techniques of integrable two-dimensional quantum field theories to solve exactly four dimensional N=4 gauge theory through the use of the AdS/CFT correspondence. By `solve' we mean here to find all anomalous dimensions of all operators of the theory for any value of the gauge coupling. We illustrate the methods with the case of the Konishi operator, the simplest operator not protected by supersymmetry, whose perturbative anomalous dimension can be computed from the string side of the AdS/CFT correspondence and is in exact agreement with a direct gauge theory perturbative computation.

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