English

What does the string/gauge correspondence teach us about Wilson loops?

High Energy Physics - Theory 2007-05-23 v1

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 AdS5AdS_5. It is then extended to the non-conformal background of DpD_p 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 BμνB_{\mu\nu} 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.

Keywords

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

R2 v1 2026-07-22T14:57:02.355Z