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Functional BES equation

delete2008-08-28
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I
Ivan Kostov *
D
Didina Serban
D
Dmytro Volin
DOI:10.1088/1126-6708/2008/08/101delete
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Abstract

Abstract

En 中文
We give a realization of the Beisert, Eden and Staudacher equation for the planar N = 4 supersymetric gauge theory which seems to be particularly useful to study the strong coupling limit. We are using a linearized version of the BES equation as two coupled equations involving an auxiliary density function. We write these equations in terms of the resolvents and we transform them into a system of functional, instead of integral, equations. We solve the functional equations perturbatively in the strong coupling limit and reproduce the recursive solution obtained by Basso, Korchemsky and Kotanski. The coefficients of the strong coupling expansion are fixed by the analyticity properties obeyed by the resolvents.
Keywords:
AdS-CFT correspondence
bethe ansatz
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Journal

Journal of High Energy Physics cover
Journal of High Energy Physics
IF:
5.5
Papers:
3.9W
Citations:
13.7W

Organization

C
CEA
Scholars:
3.5W
Papers: 2.3W
Citations: 62