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Title: Momentum broadening in unstable quark-gluon plasma

We present that quark-gluon plasma produced at the early stage of ultrarelativistic heavy-ion collisions is unstable, if weakly coupled, due to the anisotropy of its momentum distribution. Chromomagnetic fields are spontaneously generated and can reach magnitudes much exceeding typical values of the fields in equilibrated plasma. We consider a high-energy test parton traversing an unstable plasma that is populated with strong fields. We study the momentum broadening parameter $$ˆ\atop{q}$$ which determines the radiative energy loss of the test parton. We develop a formalism which gives $$ˆ\atop{q}$$ as the solution of an initial value problem, and we focus on extremely oblate plasmas which are physically relevant for relativistic heavy-ion collisions. The parameter $$ˆ\atop{q}$$ is found to be strongly dependent on time. For short times it is of the order of the equilibrium value, but at later times $$ˆ\atop{q}$$ grows exponentially due to the interaction of the test parton with unstable modes and becomes much bigger than the value in equilibrium. The momentum broadening is also strongly directionally dependent and is largest when the test parton velocity is transverse to the beam axis. Lastly, consequences of our findings for the phenomenology of jet quenching in relativistic heavy-ion collisions are briefly discussed.
Authors:
 [1] ;  [2] ;  [3]
  1. Brandon University, Brandon, Manitoba (Canada). Department of Physics; Winnipeg Institute for Theoretical Physics, Winnipeg, Manitoba (Canada)
  2. Jan Kochanowski University, Kielce (Poland). Institute of Physics; National Centre for Nuclear Research, Warsaw (Poland)
  3. Brookhaven National Lab. (BNL), Upton, NY (United States). Physics Department
Publication Date:
Report Number(s):
BNL-113922-2017-JA
Journal ID: ISSN 2469-9985
Grant/Contract Number:
SC0012704
Type:
Accepted Manuscript
Journal Name:
Physical Review C
Additional Journal Information:
Journal Volume: 95; Journal Issue: 2; Journal ID: ISSN 2469-9985
Publisher:
American Physical Society (APS)
Research Org:
Brookhaven National Laboratory (BNL), Upton, NY (United States)
Sponsoring Org:
USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; quark-gluon plasma
OSTI Identifier:
1376096
Alternate Identifier(s):
OSTI ID: 1343641

Carrington, M. E., Mrówczyński, St., and Schenke, B.. Momentum broadening in unstable quark-gluon plasma. United States: N. p., Web. doi:10.1103/PhysRevC.95.024906.
Carrington, M. E., Mrówczyński, St., & Schenke, B.. Momentum broadening in unstable quark-gluon plasma. United States. doi:10.1103/PhysRevC.95.024906.
Carrington, M. E., Mrówczyński, St., and Schenke, B.. 2017. "Momentum broadening in unstable quark-gluon plasma". United States. doi:10.1103/PhysRevC.95.024906. https://www.osti.gov/servlets/purl/1376096.
@article{osti_1376096,
title = {Momentum broadening in unstable quark-gluon plasma},
author = {Carrington, M. E. and Mrówczyński, St. and Schenke, B.},
abstractNote = {We present that quark-gluon plasma produced at the early stage of ultrarelativistic heavy-ion collisions is unstable, if weakly coupled, due to the anisotropy of its momentum distribution. Chromomagnetic fields are spontaneously generated and can reach magnitudes much exceeding typical values of the fields in equilibrated plasma. We consider a high-energy test parton traversing an unstable plasma that is populated with strong fields. We study the momentum broadening parameter $ˆ\atop{q}$ which determines the radiative energy loss of the test parton. We develop a formalism which gives $ˆ\atop{q}$ as the solution of an initial value problem, and we focus on extremely oblate plasmas which are physically relevant for relativistic heavy-ion collisions. The parameter $ˆ\atop{q}$ is found to be strongly dependent on time. For short times it is of the order of the equilibrium value, but at later times $ˆ\atop{q}$ grows exponentially due to the interaction of the test parton with unstable modes and becomes much bigger than the value in equilibrium. The momentum broadening is also strongly directionally dependent and is largest when the test parton velocity is transverse to the beam axis. Lastly, consequences of our findings for the phenomenology of jet quenching in relativistic heavy-ion collisions are briefly discussed.},
doi = {10.1103/PhysRevC.95.024906},
journal = {Physical Review C},
number = 2,
volume = 95,
place = {United States},
year = {2017},
month = {2}
}