Anisotropic heavy quark potential in strongly-coupledN=4SYM theory in a magnetic field

Abstract

In this work we use the gauge/gravity duality to study the anisotropy in the heavy quark potential in strongly coupled N = 4 Super-Yang Mills (SYM) theory (both at zero and nonzero temperature) induced by a constant and uniform magnetic field B. At zero temperature, the inclusion of the magnetic field decreases the attractive force between heavy quarks with respect to its B = 0 value and the force associated with the parallel potential is the least attractive force. We find that the same occurs at nonzero temperature and, thus, at least in the case of strongly coupled N = 4 SYM, the presence of a magnetic field generally weakens the interaction between heavy quarks in the plasma. *

Holographic calculation of the QCD crossover temperature in a magnetic field

“…A top-down holographic dual for N = 4 super Yang-Mills theory (SYM) in the presence of an external constant magnetic field was proposed in [67][68][69] and calculations for different physical observables in this scenario were carried out, for instance, in [70][71][72][73]. However, the QGP formed in heavy ion collisions [6,7] probes the temperature region within which the QCD plasma is highly nonconformal [74] (when T ∼ 150 − 300 MeV).…”

Heavy quarkonia in strong magnetic fields

“…The issue is clearly related to quark loop effects, since gluons are not directly coupled to the magnetic field, and has been investigated within various model studies [19][20][21][22][23][24][25]: the Coulomb coupling has been predicted to change in the transverse direction [19,22], in the longitudinal direction [20,23] or in both [25]; regarding the string tension, while string theory studies do not predict an influence of the magnetic field on it [26][27][28][29][30], other approaches do (see, e.g., Refs. [21,25]).…”

Screening masses in strong external magnetic fields

“…[12,13] for recent reviews. As regards the effects more directly related to color interactions, various studies have considered the possible influence of an external magnetic field on the static quark-antiquark potential [14][15][16][17][18][19], which has been clarified by recent lattice results [20,21], and might have consequences relevant to the spectrum of heavy quark bound states [22][23][24][25][26][27][28][29][30][31][32]. At zero temperature, the potential becomes anisotropic and the string tension σ is larger (smaller) in the direction orthogonal (parallel) to the magnetic field B [20,21]; at finite T , in particular in the region right below the pseudocritical temperature T c , the magnetic field induces a general suppression of σ [21], leading to an early onset of deconfinement, in agreement with the observed dependence of T c on B [33][34][35] In this paper we extend the study to the region of temperatures above T c , in order to investigate the effects of a magnetic background on the interactions between heavy quarks in the Quark-Gluon Plasma.…”