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Transport properties of baryon rich back-reacted thermal plasma with finite 't Hooft coupling correction

Rishi Pokhrel, Karma P. Sherpa, Indra K. P. Chettri, Tanay K. Dey

Abstract

In this work, holographic approach has been used to analyse the transport properties of baryon rich back-reacted thermal plasma with finite 't Hooft coupling correction. The dual bulk geometry is charged AdS black hole with higher derivative Gauss-Bonnet (GB) correction and string cloud. Specially, we have studied the nature of drag force, jet quenching parameter, screening length, radial profile and energy loss with respect to different parameters. The drag force and jet quenching parameter are enhanced with GB coupling, baryon and flavor density whereas the screening length reduces with these parameters. The radial profile and energy loss of the rotating quark has also been studied and it is observed that the radial profile decreases with increase in baryon potential and flavor density, temperature and angular frequency, whereas it is enhanced with conjugate momenta and GB coupling. Further, the energy loss of the quark grows with potential and flavor density, velocity and angular frequency and it is suppressed with GB coupling.

Transport properties of baryon rich back-reacted thermal plasma with finite 't Hooft coupling correction

Abstract

In this work, holographic approach has been used to analyse the transport properties of baryon rich back-reacted thermal plasma with finite 't Hooft coupling correction. The dual bulk geometry is charged AdS black hole with higher derivative Gauss-Bonnet (GB) correction and string cloud. Specially, we have studied the nature of drag force, jet quenching parameter, screening length, radial profile and energy loss with respect to different parameters. The drag force and jet quenching parameter are enhanced with GB coupling, baryon and flavor density whereas the screening length reduces with these parameters. The radial profile and energy loss of the rotating quark has also been studied and it is observed that the radial profile decreases with increase in baryon potential and flavor density, temperature and angular frequency, whereas it is enhanced with conjugate momenta and GB coupling. Further, the energy loss of the quark grows with potential and flavor density, velocity and angular frequency and it is suppressed with GB coupling.
Paper Structure (11 sections, 34 equations, 7 figures)

This paper contains 11 sections, 34 equations, 7 figures.

Figures (7)

  • Figure 1: Plot of drag force vs flavor density and baryon potential for different values of temperature, velocity and GB coefficient.
  • Figure 2: Plot of flavor density vs baryon potential vs GB coefficient with volume plot representing jet quenching parameter ($\hat{q})$ for (a) $T=0.1$. (b) $T=0.2$.
  • Figure 3: Flavor density vs potential vs GB coupling with volume representing the perpendicular screening length $L_S^{\perp}$ for (a) $\beta=0.5,\,T=0.5$ (b) $\beta=0.8,\,T=0.5$ (c) $\beta=0.8,\,T=0.6$.
  • Figure 4: Flavor density vs potential vs GB coupling with volume representing the parallel screening length $L_S^{||}$ for (a) $\beta=0.5,\,T=0.5$ (b) $\beta=0.8,\,T=0.5$ (c) $\beta=0.8,\,T=0.6$.
  • Figure 5: Flavor density vs potential vs GB coupling with volume representing the radial profile $\rho$ for different combination of parameters.
  • ...and 2 more figures