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Gauge fields - strings duality and the loop equation

A. Polyakov·V. Rychkov
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Abstract

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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A. Polyakov, V. Rychkov. 2000-02-22. Gauge fields - strings duality and the loop equation. https://doi.org/10.1016/s0550-3213(00)00183-8

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