Gauge fields–strings duality and the loop equation Original Research Article

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 satisfies gauge theory Schwinger–Dyson equations precisely at the critical dimension Dcr=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.