Abstract

We study the effect of a constant magnetic field on the imaginary part of a quarkonia potential in a strongly-coupled N=4 SYM plasma. We consider the pair axis to be aligned perpendicularly and parallel to the magnetic field, respectively. For both cases, we find that the presence of the magnetic field tends to enhance the imaginary potential thus decreasing the thermal width. In addition, the magnetic field has a stronger effect on the imaginary potential when the pair axis is perpendicular to the magnetic field rather than parallel.

Highlights

  • The heavy ion collisions at RHIC and LHC have produced a new state of matter so-called quark gluon plasma (QGP) [1,2,3]

  • Much experiment data indicates that QGP is strongly coupled [3], so it would be interesting to study the imaginary potential in strongly coupled theories with the aid of nonpetubative methods

  • In this paper we study the effect of a constant magnetic field on the imaginary part of heavy quarkonia potential in a strongly-coupled N = 4 SYM plasma

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Summary

INTRODUCTION

The heavy ion collisions at RHIC and LHC have produced a new state of matter so-called quark gluon plasma (QGP) [1,2,3]. Recently some authors argued that the imaginary part of the potential, ImVQQ, may be a more important reason than screening [5,6,7,8] This quantity has been studied in weakly coupled theories, see e.g. AdS/CFT, the duality between a string theory in AdS space and a conformal field theory in the physical spacetime, has yielded many important insights for studying different aspects of QGP [16] In this approach, Noronha and Dumitru have studied the imaginary potential of quarkonia for N = 4 SYM theory in their seminal work [17]. In this paper we study the effect of a constant magnetic field on the imaginary part of heavy quarkonia potential in a strongly-coupled N = 4 SYM plasma.

MAGNETIC BRANE BACKGROUND
L2 gμν
NUMERICAL SOLUTIONS
IMAGINARY POTENTIAL
CONCLUSION AND DISCUSSION
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