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Chinese Physics C> 2018, Vol. 42> Issue(6) : 064101 DOI: 10.1088/1674-1137/42/6/064101

Shear and bulk viscosity of high-temperature gluon plasma

  • 1.

     Institute of Particle Physics and Key Laboratory of Quark and Lepton Physics(MOE), Central China Normal University, Wuhan 430079, China

  • 2.

     The College of Post and Telecommunication, Wuhan Institute of Technology, Wuhan 430070, China

  • We calculate the shear viscosity (η) and bulk viscosity (ζ) to entropy density (s) ratios η/s and ζ/s of a gluon plasma system in kinetic theory, including both the elastic gg↔gg forward scattering and the inelastic soft gluon bremsstrahlung gg↔ggg processes. Due to the suppressed contribution to η and ζ in the gg↔gg forward scattering and the effective g↔gg gluon splitting, Arnold, Moore and Yaffe (AMY) and Arnold, Dogan and Moore (ADM) have got the leading order computations for η and ζ in high-temperature QCD matter. In this paper, we calculate the correction to η and ζ in the soft gluon bremsstrahlung gg↔ggg process with an analytic method. We find that the contribution of the collision term from the gg↔ggg soft gluon bremsstrahlung process is just a small perturbation to the gg↔gg scattering process and that the correction is at~5% level. Then, we obtain the bulk viscosity of the gluon plasma for the number-changing process. Furthermore, our leading-order result for bulk viscosity is the formula ζ∝(αs2T3)/(lnαs-1) in high-temperature gluon plasma.
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Le Zhang and De-Fu Hou. Shear and bulk viscosity of high-temperature gluon plasma[J]. Chinese Physics C, 2018, 42(6): 064101. doi: 10.1088/1674-1137/42/6/064101
Le Zhang and De-Fu Hou. Shear and bulk viscosity of high-temperature gluon plasma[J]. Chinese Physics C, 2018, 42(6): 064101.  doi: 10.1088/1674-1137/42/6/064101 shu
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Received: 2018-02-26
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    Supported by Ministry of Science and Technology of China (MSTC) under the 973 Project (2015CB856904(4)) and National Natural Science Foundation of China (11735007, 11521064)

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Shear and bulk viscosity of high-temperature gluon plasma

  • 1. Institute of Particle Physics and Key Laboratory of Quark and Lepton Physics(MOE), Central China Normal University, Wuhan 430079, China
  • 2. The College of Post and Telecommunication, Wuhan Institute of Technology, Wuhan 430070, China
  • Received Date: 2018-02-26
  • Available Online: 2018-06-05
Fund Project:  Supported by Ministry of Science and Technology of China (MSTC) under the 973 Project (2015CB856904(4)) and National Natural Science Foundation of China (11735007, 11521064)

Abstract: We calculate the shear viscosity (η) and bulk viscosity (ζ) to entropy density (s) ratios η/s and ζ/s of a gluon plasma system in kinetic theory, including both the elastic gg↔gg forward scattering and the inelastic soft gluon bremsstrahlung gg↔ggg processes. Due to the suppressed contribution to η and ζ in the gg↔gg forward scattering and the effective g↔gg gluon splitting, Arnold, Moore and Yaffe (AMY) and Arnold, Dogan and Moore (ADM) have got the leading order computations for η and ζ in high-temperature QCD matter. In this paper, we calculate the correction to η and ζ in the soft gluon bremsstrahlung gg↔ggg process with an analytic method. We find that the contribution of the collision term from the gg↔ggg soft gluon bremsstrahlung process is just a small perturbation to the gg↔gg scattering process and that the correction is at~5% level. Then, we obtain the bulk viscosity of the gluon plasma for the number-changing process. Furthermore, our leading-order result for bulk viscosity is the formula ζ∝(αs2T3)/(lnαs-1) in high-temperature gluon plasma.

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