Renormalization-prescription dependence of the quantum-chromodynamic coupling constant
Renormalization-prescription dependence of the quantum-chromodynamic coupling constant
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DOI：
10.1103/physrevd.20.1420
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发表时间：
1979-09
影响因子：
5
通讯作者：
W. Celmaster;R. Gonsalves
中科院分区：
文献类型：
--
作者：
W. Celmaster;R. Gonsalves
无质量量子色动力学不能在壳层上重整；各种可能的脱壳重整化处方产生不同的尺度相关耦合常数g的定义。我们展示了如何关联在不同重整化方案中计算的物理预测。特别地，我们通过单环阶计算了对称点上的二维正则化两点和三点函数，并推导了由极小减法定义的g/sub min/和由动量空间减法定义的g/sub min/之间的关系。我们发现g/sub /对于选择哪个顶点来定义它是相当不敏感的，并且只有弱规范依赖。G /sub min/强烈依赖于维度正则化过程，因此可能与G /sub min/有很大的不同。g的尺度依赖性通常由一个尺度不变的质量参数化…的比值。由任意两种重整化方案定义的s是一个纯数，我们证明了它可以从我们的单环结果中完全推导出来。
Massless quantum chromodynamics cannot be renormalized on-shell; various possible off-shell renormalization prescriptions yield different definitions of a scale-dependent coupling constant g. We show how to relate physical predictions computed in different renormalization schemes. In particular, we compute the dimensionally regularized two- and three-point functions at the symmetric point in momentum space through one-loop order, and deduce the relation between g/sub min/ defined by minimal subtraction and g/sub mom/ defined by momentum-space subtraction. We find that g/sub mom/ is fairly insensitive to which vertex one chooses to define it, and only weakly gauge dependent. g/sub min/ is shown to depend strongly on the dimensional-regularization procedure, and can therefore differ quite dramatically from g/sub mom/. The scale dependence of g is conventionally parametrized by a scale-invariant mass ..lambda..; the ratio of ..lambda..'s defined by any two renormalization schemes is a pure number which we show is exactly deducible from our one-loop results.