Properties of the free energy density using the principle of maximum conformality

【摘要】 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_s~5-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.更多还原

【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_s~5-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.更多还原