Abstract

In this paper, we follow a `bottom-up' AdS/QCD approach to holographically probe the dynamics of a moving $q\bar{q}$ pair inside a strongly coupled plasma at the boundary. We consider a deformed AdS-Reissner Nordstr\"om metric in the bulk in order to introduce nonconformality and finite quark density in the dual field theory. By boosting the gravity solution in a specific direction we consider two extreme cases of orientation, parallel and perpendicular, for the Wilson loop which in turn fixes the relative position of the $q\bar{q}$ pair with respect to the direction of boost in the plasma. By utilizing this set-up, we holographically compute the vacuum expectation value of the time-like Wilson loop in order to obtain real part of the $q\bar{q}$ potential and the effects of nonconformality (deformation parameter $c$), chemical potential $\mu$ and rapidity $\beta$ are observed on this potential. We then compute the in-medium energy loss of the moving parton (jet quenching parameter $q_m$) by setting $\beta\rightarrow\infty$ which in turn makes the Wilson loop light-like. We also use the jet quenching as an order parameter to probe the strongly-coupled domain of the dual field theory. Finally, we compute the imaginary part of the $q\bar{q}$ potential ($\mathrm{Im}(V_{q\bar{q}})$) by considering the thermal fluctuation (arbitrary long wavelength) of the string world-sheet. It is observed that for fixed values of the chemical potential and rapidity, increase in the nonconformality parameter leads to an increase in the real and imaginary potentials as well as the jet quenching parameter.

Highlights

  • Understanding various properties of a strongly coupled (λ ≡ gYM2Nc ≫ 1) gauge theory via anti–de Sitter (AdS)=CFT correspondence has been very intriguing so far

  • We have holographically investigated the dynamics of a moving quark-antiquark dipole in a strongly coupled nonconformal plasma with finite quark density

  • We use the soft-wall dual geometry (SWT;μ model) in which a Uð1Þ gauge field is added in the bulk action on the basis of the AdS=CFT dictionary to provide the quark-density vector operator in the boundary field theory

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Summary

INTRODUCTION

Understanding various properties of a strongly coupled (λ ≡ gYM2Nc ≫ 1) gauge theory via AdS=CFT correspondence has been very intriguing so far. The study of the binding energy of a qq (quark-antiquark) pair, screening length, and the energy loss of a moving parton in the high pT limit (jet quenching) by utilizing AdS=CFT conjecture has been a matter of growing interest in recent times Along with these observables, the computation of an imaginary potential via gauge/gravity is a matter of. We find that for a fixed value of the nonconformality parameter, the effect of increasing the chemical potential with a fixed value of rapidity decreases the value of the real potential, decreases the imaginary potential, but increases the in-medium energy loss These observations are in conformity with the previous findings [11,25,40,47].

SOFT-WALL DUAL GEOMETRY MODEL
SCREENING LENGTH AND THE REAL PART OF THE qq POTENTIAL
Numerical analysis and observations
IMAGINARY PART OF THE qq PAIR POTENTIAL
CONCLUSION
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