Table of Contents Author Guidelines Submit a Manuscript
Advances in High Energy Physics
Volume 2017, Article ID 6124619, 11 pages
https://doi.org/10.1155/2017/6124619
Research Article

A Study of Confinement for Potentials on D3, M2, and M5 Branes

Instituto de Física, Universidade Federal de Rio de Janeiro, Caixa Postal 68528, 21941-972 Rio de Janeiro, RJ, Brazil

Correspondence should be addressed to Henrique Boschi-Filho; rb.jrfu.fi@ihcsob

Received 16 May 2017; Revised 13 August 2017; Accepted 23 August 2017; Published 3 October 2017

Academic Editor: Piero Nicolini

Copyright © 2017 Edward Quijada and Henrique Boschi-Filho. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. The publication of this article was funded by SCOAP3.

Abstract

We study analytically and numerically the interaction potentials between a pair of quark and antiquark on D3, M2, and M5 branes. These potentials are obtained using Maldacena’s method involving Wilson loops and present confining and nonconfining behaviours in different situations that we explore in this work. In particular, at the near horizon geometry, the potentials are nonconfining in agreement with conformal field theory expectations. On the other side, far from horizon, the dual field theories are no longer conformal and the potentials present confinement. This is in agreement with the behaviour of strings in flat space where the string mimics the expected flux tube of QCD. A study of the transition between the confining/nonconfining regimes in the three different scenarios (D3, M2, and M5) is also performed.