skip to main content
DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Shear viscosity of the quark-gluon plasma in a weak magnetic field in perturbative QCD: Leading log

Abstract

We compute the shear viscosity of two-flavor QCD plasma in an external magnetic field in perturbative QCD at leading log order, assuming that the magnetic field is weak or soft: $$eB{\sim}{g}^{4}\mathrm{log}(1/g){T}^{2}$$. We work in the assumption that the magnetic field is homogeneous and static, and the electrodynamics is nondynamical in a formal limit $$e{\rightarrow}0$$ while $eB$ is kept fixed. We show that the shear viscosity takes a form $${\eta}=\overline{{\eta}}(\overline{B}){T}^{3}/({g}^{4}\mathrm{log}(1/g))$$ with a dimensionless function $$\overline{{\eta}}(\overline{B})$$ in terms of a dimensionless variable $$\overline{B}=(eB)/({g}^{4}\mathrm{log}(1/g){T}^{2})$$. The variable $$\overline{B}$$ corresponds to the relative strength of the effect of cyclotron motions compared to the QCD collisions: $$\overline{B}{\sim}{l}_{\mathrm{mfp}}/{l}_{\text{cyclo}}$$. We provide a full numerical result for the scaled shear viscosity $$\overline{{\eta}}(\overline{B})$$.

Authors:
 [1];  [2]
  1. Univ. of Illinois, Chicago, IL (United States). Dept. of Physics
  2. Univ. of Illinois, Chicago, IL (United States). Dept. of Physics; Brookhaven National Lab. (BNL), Upton, NY (United States). RIKEN-BNL Research Center
Publication Date:
Research Org.:
Univ. of Illinois, Chicago, IL (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)
OSTI Identifier:
1430145
Alternate Identifier(s):
OSTI ID: 1503833
Grant/Contract Number:  
SC0018209
Resource Type:
Published Article
Journal Name:
Physical Review D
Additional Journal Information:
Journal Volume: 97; Journal Issue: 5; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; perturbative QCD; quark-gluon plasma

Citation Formats

Li, Shiyong, and Yee, Ho-Ung. Shear viscosity of the quark-gluon plasma in a weak magnetic field in perturbative QCD: Leading log. United States: N. p., 2018. Web. doi:10.1103/physrevd.97.056024.
Li, Shiyong, & Yee, Ho-Ung. Shear viscosity of the quark-gluon plasma in a weak magnetic field in perturbative QCD: Leading log. United States. doi:10.1103/physrevd.97.056024.
Li, Shiyong, and Yee, Ho-Ung. Wed . "Shear viscosity of the quark-gluon plasma in a weak magnetic field in perturbative QCD: Leading log". United States. doi:10.1103/physrevd.97.056024.
@article{osti_1430145,
title = {Shear viscosity of the quark-gluon plasma in a weak magnetic field in perturbative QCD: Leading log},
author = {Li, Shiyong and Yee, Ho-Ung},
abstractNote = {We compute the shear viscosity of two-flavor QCD plasma in an external magnetic field in perturbative QCD at leading log order, assuming that the magnetic field is weak or soft: $eB{\sim}{g}^{4}\mathrm{log}(1/g){T}^{2}$. We work in the assumption that the magnetic field is homogeneous and static, and the electrodynamics is nondynamical in a formal limit $e{\rightarrow}0$ while $eB$ is kept fixed. We show that the shear viscosity takes a form ${\eta}=\overline{{\eta}}(\overline{B}){T}^{3}/({g}^{4}\mathrm{log}(1/g))$ with a dimensionless function $\overline{{\eta}}(\overline{B})$ in terms of a dimensionless variable $\overline{B}=(eB)/({g}^{4}\mathrm{log}(1/g){T}^{2})$. The variable $\overline{B}$ corresponds to the relative strength of the effect of cyclotron motions compared to the QCD collisions: $\overline{B}{\sim}{l}_{\mathrm{mfp}}/{l}_{\text{cyclo}}$. We provide a full numerical result for the scaled shear viscosity $\overline{{\eta}}(\overline{B})$.},
doi = {10.1103/physrevd.97.056024},
journal = {Physical Review D},
number = 5,
volume = 97,
place = {United States},
year = {2018},
month = {3}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.1103/physrevd.97.056024

Citation Metrics:
Cited by: 6 works
Citation information provided by
Web of Science

Save / Share:

Works referenced in this record:

Electrical conductivity of quark-gluon plasma in strong magnetic fields
journal, December 2016


Momentum transport in strongly coupled anisotropic plasmas in the presence of strong magnetic fields
journal, September 2016


Estimate of the Magnetic Field Strength in Heavy-Ion Collisions
journal, December 2009

  • Skokov, V. V.; Illarionov, A. Yu.; Toneev, V. D.
  • International Journal of Modern Physics A, Vol. 24, Issue 31
  • DOI: 10.1142/S0217751X09047570

Normal ground state of dense relativistic matter in a magnetic field
journal, April 2011


Event-by-event generation of electromagnetic fields in heavy-ion collisions
journal, April 2012


Quantum field theory in a magnetic field: From quantum chromodynamics to graphene and Dirac semimetals
journal, April 2015


Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
journal, March 2005


Comments about the electromagnetic field in heavy-ion collisions
journal, September 2014


Generalized global symmetries and dissipative magnetohydrodynamics
journal, May 2017


The effects of topological charge change in heavy ion collisions: “Event by event and violation”
journal, May 2008


Introduction to hydrodynamics
journal, October 2015


Spectral densities for hot QCD plasmas in a leading-log approximation
journal, October 2010


Transverse interactions and transport in relativistic quark-gluon and electromagnetic plasmas
journal, April 1990


Kubo formulas for relativistic fluids in strong magnetic fields
journal, December 2011


Bulk viscosity of quark-gluon plasma in strong magnetic fields
journal, November 2017


Chiral Magnetic Wave at Finite Baryon Density and the Electric Quadrupole Moment of the Quark-Gluon Plasma
journal, July 2011


Novel quantum phenomena induced by strong magnetic fields in heavy-ion collisions
journal, January 2017


Relativistic magnetohydrodynamics
journal, May 2017


New Developments in Relativistic Viscous Hydrodynamics
journal, January 2010


Jet quenching parameter of the quark-gluon plasma in a strong magnetic field: Perturbative QCD and AdS / CFT correspondence
journal, October 2016


Azimuthally fluctuating magnetic field and its impacts on observables in heavy-ion collisions
journal, January 2013


Event-by-event fluctuations of magnetic and electric fields in heavy ion collisions
journal, March 2012


Transport coefficients in high temperature gauge theories, 2. Beyond leading log
journal, May 2003


Transport coefficients in high temperature gauge theories (I): leading-log results
journal, November 2000


Heavy quark diffusion in strong magnetic fields at weak coupling and implications for elliptic flow
journal, April 2016


Magnetohydrodynamics, charged currents, and directed flow in heavy ion collisions
journal, May 2014


Longitudinal conductivity in strong magnetic field in perturbative QCD: Complete leading order
journal, April 2017


Numerical magneto-hydrodynamics for relativistic nuclear collisions
journal, November 2016


Flow at the SPS and RHIC as a Quark-Gluon Plasma Signature
journal, May 2001


Color, spin, and flavor diffusion in quark-gluon plasmas
journal, May 1994


Erratum: Momentum transport in strongly coupled anisotropic plasmas in the presence of strong magnetic fields [Phys. Rev. D 94 , 054020 (2016)]
journal, July 2017


Electromagnetic field and the chiral magnetic effect in the quark-gluon plasma
journal, June 2015


Chiral magnetic effect
journal, October 2008


Anisotropic hydrodynamics, bulk viscosities, and r -modes of strange quark stars with strong magnetic fields
journal, February 2010


Effect of intense magnetic fields on reduced-magnetohydrodynamics evolution in s N N = 200 GeV Au + Au collisions
journal, November 2017