Journal
ANNALS OF PHYSICS
Volume 436, Issue -, Pages -Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.aop.2021.168675
Keywords
Quark-gluon plasma; Gauge; string duality; Holographic Brownian motion; AdS; CFT; Note on notation
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Funding
- Mandela Rhodes Foundation
- South African National Research Foundation
- South Africa-CERN Collaboration
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In this paper, a pedagogical presentation of heavy and light probe quarks in a thermal plasma using the AdS/CFT correspondence is provided. Three cases are considered and the mean-squared transverse displacement of the string's boundary endpoint is computed for both heavy and light quarks. The diffusion coefficient for both types of quarks in arbitrary dimensions is extracted and its relevance for relativistic heavy ion phenomenology is discussed.
We give a pedagogical presentation of heavy and light probe quarks in a thermal plasma using the AdS/CFT correspondence. Three cases are considered: external heavy and light quarks undergoing Brownian motion in the plasma, and an external heavy quark moving through the plasma with a constant velocity. For the first two cases we compute the mean-squared transverse displacement of the string's boundary endpoint. At early times the behaviour is ballistic, while the late time dynamics are diffusive. We extract the diffusion coefficient for both heavy and light quarks in an arbitrary number of dimensions and comment on the relevance for relativistic heavy ion phenomenology. (c) 2021 Elsevier Inc. All rights reserved.
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