English

Wilson loop and dS/CFT correspondence

High Energy Physics - Theory 2009-09-17 v2 High Energy Physics - Phenomenology

Abstract

We calculate Wilson loop (quark anti-quark potential) in dS/CFT correspondence. The brane-world model is considered where bulk is two 5d Euclidean de Sitter spaces and boundary (brane) is 4d de Sitter one. Starting from the Nambu-Goto action, the calculation of the effective tension (average energy) is presented. Unlike to the case of supergravity calculation of Wilson loop in AdS/CFT set-up, there is no need to regularize the Nambu-Goto action (the volume of de Sitter space is finite). It turns out that at sufficiently small curvature of 5d background the energy (potential) is positive and linear on the distance between quark and anti-quark what indicates to the possibility of confinement.

Keywords

Cite

@article{arxiv.hep-th/0112152,
  title  = {Wilson loop and dS/CFT correspondence},
  author = {Shin'ichi Nojiri and Sergei D. Odintsov},
  journal= {arXiv preprint arXiv:hep-th/0112152},
  year   = {2009}
}

Comments

LaTeX, 11 pages, a refernce is added