Gauge fields - strings duality and the loop equation

Details Gauge fields - strings duality and the loop equation Gauge fields - strings duality and the loop equation

2000-02-13

arxiv.org/abs/hep-th/0002106v2

Nucl.Phys. B581 (2000) 116-134

Physics

High Energy Physics

High Energy Physics - Theory

23 pages, 3 references added, minor changes

Scientific paper

10.1016/S0550-3213(00)00183-8

We explore gauge fields - strings duality by means of the loop equations and the zigzag symmetry. The results are striking and incomplete. Striking - because we find that the string ansatz proposed in [A.M. Polyakov, hep-th/9711002] satisfies gauge theory Schwinger-Dyson equations precisely at the critical dimension D=4. Incomplete - since we get these results only in the WKB approximation and only for a special class of contours. The ways to go beyond these limitations and in particular the OPE for operators defined on the loop are also discussed.

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