Exact solutions to quantum field theories and integrable equations

Marshakov, A.

doi:10.1142/S021773239600120X

Exact solutions to quantum field theories and integrable equations

A. Marshakov
(
- Lebedev Inst. and
- Moscow, ITEP
)

Feb, 1996

14 pages

Published in:

Mod.Phys.Lett.A 11 (1996) 1169-1184

e-Print:

hep-th/9602005 [hep-th]

DOI:

10.1142/S021773239600120X

Report number:

FIAN-TD-19-95A,
ITEP-TH-4-96

View in:

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Abstract:

The exact solutions to quantum string and gauge field theories are discussed and the existing arguments in favour of possibility to describe these solutions in the framework of integrable systems are presented. In particular I consider in detail some examples of appearence of solutions to the first-order integrable equations of hydrodynamical type and discuss their origins and possible generalizations.

integrability
string model
gauge field theory: Yang-Mills
supersymmetry
matter
hydrodynamics
Korteweg-de Vries equation
geometry: algebra
gravitation: topological
Whitham equation: hierarchy

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