On gauge fields - strings duality as an integrable system
نویسنده
چکیده
On gauge fields-strings duality as an integrable system. Abstract It was suggested in [1], that semiclassically, a partition function of a string theory in the 5 dimensional constant negative curvature space with a boundary condition at the absolute satisfy the loop equation with respect to varying the boundary condition, and thus the partition function of the string gives the expectation value of a Wilson loop in the 4 dimensional QCD. In the paper, we present the geometrical framework, which reveals that the equations of motion of the string are integrable, in the sence that they can be written via a Lax pair with a spectral parameter.
منابع مشابه
Gauge fields – strings duality and the loop equation
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 [1] 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 ...
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