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Holographic estimate of heavy quark diffusion in a magnetic field

David Dudal (UGent) and Thomas Mertens (UGent)
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Abstract
We study the influence of a background magnetic field on the J/psi vector meson in a Dirac-Born-Infeldextension of the soft wall model, building upon our earlier work [D. Dudal and T. G. Mertens Phys. Rev. D 91, 086002 (2015)]. In this specific holographic QCD model, we discuss the heavy quark number susceptibility and diffusion constants of charm quarks and their dependence on the magnetic field by either a hydrodynamic expansion or by numerically solving the differential equation. This allows us to determine the response of these transport coefficients to the magnetic field. The effects of the latter are considered both from a direct as indirect (medium) viewpoint. As expected, we find a magnetic field induced anisotropic diffusion, with a stronger diffusion in the longitudinal direction compared to the transversal one. We backup, at least qualitatively, our findings with a hanging string analysis of heavy quark diffusion in a magnetic field. From the quark number susceptibility we can extract an estimate for the effective deconfinement temperature in the heavy quark sector, reporting consistency with the phenomenon of inverse magnetic catalysis.
Keywords
CHIRAL-SYMMETRY BREAKING, ION COLLISIONS, GLUON PLASMA, NUMBER SUSCEPTIBILITY, CATALYSIS, QCD, FLUCTUATIONS, TRANSITION, MODELS, EVENT

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Citation

Please use this url to cite or link to this publication:

Chicago
Dudal, David, and Thomas Mertens. 2018. “Holographic Estimate of Heavy Quark Diffusion in a Magnetic Field.” Physical Review D 97 (5).
APA
Dudal, David, & Mertens, T. (2018). Holographic estimate of heavy quark diffusion in a magnetic field. PHYSICAL REVIEW D, 97(5).
Vancouver
1.
Dudal D, Mertens T. Holographic estimate of heavy quark diffusion in a magnetic field. PHYSICAL REVIEW D. 2018;97(5).
MLA
Dudal, David, and Thomas Mertens. “Holographic Estimate of Heavy Quark Diffusion in a Magnetic Field.” PHYSICAL REVIEW D 97.5 (2018): n. pag. Print.
@article{8561998,
  abstract     = {We study the influence of a background magnetic field on the J/psi vector meson in a Dirac-Born-Infeldextension of the soft wall model, building upon our earlier work [D. Dudal and T. G. Mertens Phys. Rev. D 91, 086002 (2015)]. In this specific holographic QCD model, we discuss the heavy quark number susceptibility and diffusion constants of charm quarks and their dependence on the magnetic field by either a hydrodynamic expansion or by numerically solving the differential equation. This allows us to determine the response of these transport coefficients to the magnetic field. The effects of the latter are considered both from a direct as indirect (medium) viewpoint. As expected, we find a magnetic field induced anisotropic diffusion, with a stronger diffusion in the longitudinal direction compared to the transversal one. We backup, at least qualitatively, our findings with a hanging string analysis of heavy quark diffusion in a magnetic field. From the quark number susceptibility we can extract an estimate for the effective deconfinement temperature in the heavy quark sector, reporting consistency with the phenomenon of inverse magnetic catalysis.},
  articleno    = {054035},
  author       = {Dudal, David and Mertens, Thomas},
  issn         = {2470-0010},
  journal      = {PHYSICAL REVIEW D},
  keyword      = {CHIRAL-SYMMETRY BREAKING,ION COLLISIONS,GLUON PLASMA,NUMBER SUSCEPTIBILITY,CATALYSIS,QCD,FLUCTUATIONS,TRANSITION,MODELS,EVENT},
  language     = {eng},
  number       = {5},
  pages        = {23},
  title        = {Holographic estimate of heavy quark diffusion in a magnetic field},
  url          = {http://dx.doi.org/10.1103/physrevd.97.054035},
  volume       = {97},
  year         = {2018},
}

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