What does the string/gauge correspondence teach us about Wilson loops?
Abstract
In these lectures we describe the attempt to extract the expectation values of Wilson loops from the string/gauge correspondence. We start with the original calculation in . It is then extended to the non-conformal background of in the near horizon limit. We discuss the computation at finite temperature. Supergravity models that admit confinement in 3d and 4d are described. A theorem that determines the classical values of loops associated with a generalized background is derived.In particular we determine sufficient conditions for confining behavior. We then apply the theorem to various string models including type 0 ones. We describe an attempt to go beyond the classical string picture by incorporating quadratic quantum fluctuations. In particular we address the BPS configuration of a single quark, the supersymmetric determinant of AdS_5\times S^ and a setup that corresponds to a confining gauge theory. We determine the form of the Wilson loop for actions that include non trivial field. The issue of an exact determination of the value of the stringy Wilson loop is discussed. We end with a brief review of the baryons from the string/gauge correspondence Lectures presented in the ``Advanced School on Supersymmetry in the theories of fields, strings and branes'' Santiago de Compostela-99.
Cite
@article{arxiv.hep-th/0003032,
title = {What does the string/gauge correspondence teach us about Wilson loops?},
author = {Jacob Sonnenschein},
journal= {arXiv preprint arXiv:hep-th/0003032},
year = {2007}
}
Comments
Lectures presented at Santiago de Compostela-99, 47 pages, 13 figs