phi^4理论中的五圈加性重整化和三维最小重整化specific heat的振幅函数
Five-loop additive renormalization in the phi^4 theory and amplitude functions of the minimally renormalized specific heat in three dimensions
摘要：
我们给出了O（n）对称φ ^4理论比热的加性重整化常数A（u，n）和相应的重整化群函数B（u）的五圈解析计算。我们表明，这种计算不需要新的五圈积分，但可以进行的基础上，以前的五圈计算的四点顶点函数结合适当的识别真空图的对称因子。我们还确定了在T_c以上n= 1，2，3和T_c以下n=1的三维比热振幅函数，直到五圈级。由B（u）（n= 1，2，3）和振幅函数（n=1）的Borel插值得到了精确的结果。证实了先前关于高阶贡献小的假设。计算了n=1时的波莱尔图解普适振幅比A^+/A^-和a_c^+/a_c^-。
英文摘要：
We present an analytic five-loop calculation for the additive renormalization constant A(u,epsilon) and the associated renormalization-group function B(u) of the specific heat of the O(n) symmetric phi^4 theory within the minimal subtraction scheme. We show that this calculation does not require new five-loop integrations but can be performed on the basis of the previous five-loop calculation of the four-point vertex function combined with an appropriate identification of symmetry factors of vacuum diagrams. We also determine the amplitude functions of the specific heat in three dimensions for n=1,2,3 above T_c and for n=1 below T_c up to five-loop order. Accurate results are obtained from Borel resummations of B(u) for n=1,2,3 and of the amplitude functions for n=1. Previous conjectures regarding the smallness of the resummed higher-order contributions are confirmed. Borel resummed universal amplitude ratios A^+/A^- and a_c^+/a_c^- are calculated for n=1.
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