Properties of the free energy density using the principle ofmaximum conformality

Shi Bu; Xing-Gang Wu; Jian-Ming Shen; Jun Zeng

doi:10.1088/1674-1137/42/8/083105

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

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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 {β_i}-terms, and determines the optimal renormalization scale at each order. Our analysis shows that a more accurate free energy density up to g_s⁵-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 m_E, the PMC prediction is consistent with the lattice QCD prediction derived at low temperature.
- perturbative QCD ,
- free energy density ,
- renormalization ,
- QCD high-order corrections

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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

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Received: 2018-04-08

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沈阳化工大学材料科学与工程学院沈阳 110142

Properties of the free energy density using the principle ofmaximum conformality

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