Effective mass of holographic Brownian particle in rotating plasma

The dynamics of string fluctuations under a rotating Bahados-Teitelboim-Zanelli black hole is studied using the method developed in Son and Teaney [J. High Energy Phys. 07 (2009) 021], We compare our result with the one computed previously in Atmaja [J. High Energy Phys. 02 (2013) 021], using a diff...

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Bibliographic Details
Published in:Physical review. D, Particles, fields, gravitation, and cosmology Particles, fields, gravitation, and cosmology, 2015-04, Vol.91 (8), Article 086006
Main Authors: Atmaja, A. Nata, Kassim, H. Abu, Yusof, N.
Format: Article
Language:English
Subjects:
Asymptotic properties
Brownian movement
Computation
Fluctuation
Lorentz factor
Quarks
Rotating
Strings
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Summary:The dynamics of string fluctuations under a rotating Bahados-Teitelboim-Zanelli black hole is studied using the method developed in Son and Teaney [J. High Energy Phys. 07 (2009) 021], We compare our result with the one computed previously in Atmaja [J. High Energy Phys. 02 (2013) 021], using a different method as developed in de Boer et al. [J. High Energy Phys. 07 (2009) 094] for the case of a corotating string. The result supports the claim made in Atmaja [J. High Energy Phys. 02 (2013) 021] that the end of the string, which is identified as an external quark at the boundary, behaves as a Brownian particle with the mass is given by an effective mass parameter M sub(eff) equals to the zero-temperature mass of an external quark M sub(0) times the cube of a Lorentz factor gamma . Furthermore, we extend the computation to a higher dimensional rotating AdS black hole, where the metric is effectively asymptotic to AdS sub(3) and the fluctuation is taken only along the corotating motion. It turns out that the effective mass of the external quark has a universal form of M sub(eff) = gamma super(3) M sub(0).
ISSN:1550-7998
1550-2368
DOI:10.1103/PhysRevD.91.086006