Integrability and Seiberg-Witten Exact Solution

Details Integrability and Seiberg-Witten Exact Solution Integrability and Seiberg-Witten Exact Solution

1995-05-05

arxiv.org/abs/hep-th/9505035v2

Phys.Lett. B355 (1995) 466-474

Physics

High Energy Physics

High Energy Physics - Theory

Latex, figs included

Scientific paper

10.1016/0370-2693(95)00723-X

The exact Seiberg-Witten (SW) description of the light sector in the $N=2$ SUSY $4d$ Yang-Mills theory is reformulated in terms of integrable systems and appears to be a Gurevich-Pitaevsky (GP) solution to the elliptic Whitham equations. We consider this as an implication that dynamical mechanism behind the SW solution is related to integrable systems on the moduli space of instantons. We emphasize the role of the Whitham theory as a possible substitute of the renormalization-group approach to the construction of low-energy effective actions.

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