Exact solutions to quantum field theories and integrable equations

Abstract

The exact solutions to quantum string and gauge field theories are discussed and their formulation in the framework of integrable systems is presented. In particular I consider in detail several examples of appearence of solutions to the first-order integrable equations of hydrodynamical type and stress that all known examples can be treated as partial solutions to the same problem in the theory of integrable systems.

revised version, some details and formulations are changed, few references added; LaTeX, 12 pp

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