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

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...

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Main Authors: Edward Quijada, Henrique Boschi-Filho
Format: Article
Language:English
Published: Wiley 2017-01-01
Series:Advances in High Energy Physics
Online Access:http://dx.doi.org/10.1155/2017/6124619
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author Edward Quijada
Henrique Boschi-Filho
author_facet Edward Quijada
Henrique Boschi-Filho
author_sort Edward Quijada
collection DOAJ
description 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.
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series Advances in High Energy Physics
spelling doaj-art-e9dc36da18cd4525b7a6ce74c26870112025-08-20T03:26:34ZengWileyAdvances in High Energy Physics1687-73571687-73652017-01-01201710.1155/2017/61246196124619A Study of Confinement for QQ- Potentials on D3, M2, and M5 BranesEdward Quijada0Henrique Boschi-Filho1Instituto de Física, Universidade Federal de Rio de Janeiro, Caixa Postal 68528, 21941-972 Rio de Janeiro, RJ, BrazilInstituto de Física, Universidade Federal de Rio de Janeiro, Caixa Postal 68528, 21941-972 Rio de Janeiro, RJ, BrazilWe 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.http://dx.doi.org/10.1155/2017/6124619
spellingShingle Edward Quijada
Henrique Boschi-Filho
A Study of Confinement for QQ- Potentials on D3, M2, and M5 Branes
Advances in High Energy Physics
title A Study of Confinement for QQ- Potentials on D3, M2, and M5 Branes
title_full A Study of Confinement for QQ- Potentials on D3, M2, and M5 Branes
title_fullStr A Study of Confinement for QQ- Potentials on D3, M2, and M5 Branes
title_full_unstemmed A Study of Confinement for QQ- Potentials on D3, M2, and M5 Branes
title_short A Study of Confinement for QQ- Potentials on D3, M2, and M5 Branes
title_sort study of confinement for qq potentials on d3 m2 and m5 branes
url http://dx.doi.org/10.1155/2017/6124619
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