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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/sand ζ/sof a gluon plasma system in kinetic theory, including both the elastic gg↔ ggforward scattering and the inelastic soft gluon bremsstrahlung gg↔ gggprocesses. Due to the suppressed contribution to ηand ζin the gg↔ ggforward scattering and the effective g↔ gggluon splitting, Arnold, Moore and Yaffe (AMY) and Arnold, Dogan and Moore (ADM) have got the leading order computations for ηand ζin high-temperature QCD matter. In this paper, we calculate the correction to ηand ζin the soft gluon bremsstrahlung gg↔ gggprocess with an analytic method. We find that the contribution of the collision term from the gg↔ gggsoft gluon bremsstrahlung process is just a small perturbation to the gg↔ ggscattering 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∝( α s 2 T 3)/(ln α s -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) ratiosη/sandζ/sof a gluon plasma system in kinetic theory, including both the elasticgg↔ggforward scattering and the inelastic soft gluon bremsstrahlunggg↔gggprocesses. Due to the suppressed contribution toηandζin thegg↔ggforward scattering and the effectiveg↔gggluon splitting, Arnold, Moore and Yaffe (AMY) and Arnold, Dogan and Moore (ADM) have got the leading order computations forηandζin high-temperature QCD matter. In this paper, we calculate the correction toηandζin the soft gluon bremsstrahlunggg↔gggprocess with an analytic method. We find that the contribution of the collision term from thegg↔gggsoft gluon bremsstrahlung process is just a small perturbation to thegg↔ggscattering 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 formulaζ∝(αs2T3)/(lnαs-1) in high-temperature gluon plasma.

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