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Title: Momentum broadening in unstable quark-gluon plasma

Journal Article · · Physical Review. C
 [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

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.

Research Organization:
Brookhaven National Laboratory (BNL), Upton, NY (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Nuclear Physics (NP)
Grant/Contract Number:
SC0012704
OSTI ID:
1376096
Alternate ID(s):
OSTI ID: 1343641
Report Number(s):
BNL-113922-2017-JA
Journal Information:
Physical Review. C, Vol. 95, Issue 2; ISSN 2469-9985
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 13 works
Citation information provided by
Web of Science

References (22)

High-energy jet quenching in weakly coupled quark-gluon plasmas journal December 2008
Hard-Scattering Results in Heavy-Ion Collisions at the LHC journal October 2014
Color Glass Condensate and Glasma journal January 2013
Momentum broadening of a fast parton in a perturbative quark-gluon plasma journal December 2009
Color filamentation in ultrarelativistic heavy-ion collisions journal February 1997
Jet quenching in high-energy heavy-ion collisions journal November 2015
Chromodynamic fluctuations in quark-gluon plasma journal May 2008
Bethe-Salpeter equations from the 4PI effective action journal October 2013
Estimating inelasticity with the information theory approach journal June 2003
The theory and phenomenology of perturbative QCD based jet quenching journal January 2011
Evolution of anisotropy of a partonic system from relativistic heavy-ion collisions journal October 2007
Collective modes of an anisotropic quark-gluon plasma journal August 2003
Jet broadening in unstable non-Abelian plasmas journal August 2008
GeV electron beams from a centimetre-scale accelerator journal September 2006
Energy loss in unstable quark-gluon plasma journal October 2015
Momentum broadening in an anisotropic plasma journal January 2007
Field and particle equations for the classical Yang-Mills field and particles with isotopic spin journal February 1970
Semi-classical transport theory for non-Abelian plasmas journal July 2002
Plasmons in anisotropic quark-gluon plasma journal September 2014
Energy losses in relativistic plasmas: QCD versus QED journal July 2009
Radiative energy loss and p⊥-broadening of high energy partons in nuclei journal January 1997
Jet quenching and broadening: The transport coefficient q ̂ in an anisotropic plasma journal December 2008

Cited By (3)

First principles-based applications of the Vlasov equation to dissipative systems journal May 2019
Energy loss of heavy quarks in the isotropic collisional hot QCD medium preprint January 2019
Energy loss of heavy quarks in the isotropic collisional hot QCD medium journal September 2019

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