Gauge fields - strings duality and the loop equation

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.

23 pages, 3 references added, minor changes

Cited by in corpus (64)

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• Loop Equation in Two-dimensional Noncommutative Yang-Mills Theory
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• Bootstrability in Defect CFT: Integrated Correlators and Sharper Bounds
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• Euclidean Wilson loops and Minimal Area Surfaces in Minkowski AdS3
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• AdS/CFT Correspondence and Type 0 String Theory
• Geometric QCD II: The Confining Twistor String and Meson Spectrum