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On gauge fields - strings duality as an integrable system

Authors
  • Zyskin, M.
Type
Published Article
Publication Date
Apr 16, 2000
Submission Date
Apr 14, 2000
Identifiers
DOI: 10.1016/S0375-9601(00)00534-X
arXiv ID: hep-th/0004105
Source
arXiv
License
Unknown
External links

Abstract

It was suggested in hep-th/0002106, 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 such string theory are integrable, in the sense that they can be written via a Lax pair with a spectral parameter. We also show, that the issue of the loop equation rests solely on the properly posing the boundary condition.

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