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Chinese Physics C> 2018, Vol. 42> Issue(8) : 083105 DOI: 10.1088/1674-1137/42/8/083105

Properties of the free energy density using the principle ofmaximum conformality

  • 1.

     Department of Physics, Chongqing University, Chongqing 401331, China

  • We present a detailed study on the properties of the free energy density at high temperature by applying the principle of maximum conformality (PMC) scale-setting method within effective field theory. The PMC utilizes the renormalization group equation recursively to identify the occurrence and pattern of the non-conformal {βi}-terms, and determines the optimal renormalization scale at each order. Our analysis shows that a more accurate free energy density up to gs5-order level without renormalization scale dependence can be achieved by applying the PMC. We also observe that by using a smaller factorization scale around the effective parameter mE, the PMC prediction is consistent with the lattice QCD prediction derived at low temperature.
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Shi Bu, Xing-Gang Wu, Jian-Ming Shen and Jun Zeng. Properties of the free energy density using the principle ofmaximum conformality[J]. Chinese Physics C, 2018, 42(8): 083105. doi: 10.1088/1674-1137/42/8/083105
Shi Bu, Xing-Gang Wu, Jian-Ming Shen and Jun Zeng. Properties of the free energy density using the principle ofmaximum conformality[J]. Chinese Physics C, 2018, 42(8): 083105.  doi: 10.1088/1674-1137/42/8/083105 shu
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Received: 2018-04-08
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    Supported by Natural Science Foundation of China (11625520)

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Properties of the free energy density using the principle ofmaximum conformality

  • 1. Department of Physics, Chongqing University, Chongqing 401331, China
  • Received Date: 2018-04-08
  • Available Online: 2018-08-05
Fund Project:  Supported by Natural Science Foundation of China (11625520)

Abstract: We present a detailed study on the properties of the free energy density at high temperature by applying the principle of maximum conformality (PMC) scale-setting method within effective field theory. The PMC utilizes the renormalization group equation recursively to identify the occurrence and pattern of the non-conformal {βi}-terms, and determines the optimal renormalization scale at each order. Our analysis shows that a more accurate free energy density up to gs5-order level without renormalization scale dependence can be achieved by applying the PMC. We also observe that by using a smaller factorization scale around the effective parameter mE, the PMC prediction is consistent with the lattice QCD prediction derived at low temperature.

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