Remark on the subtractive renormalization of quadratically divergent scalar mass
Remark on the subtractive renormalization of quadratically divergent scalar mass
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关于二次发散标量质量的减法重整化的评论
DOI：
10.1103/physrevd.83.105012
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发表时间：
2011
期刊：
影响因子：
--
通讯作者：
K. Fujikawa
中科院分区：
文献类型：
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作者：
M. Chaichian;K. Fujikawa and A. Tureanu;谷村省吾;K. Fujikawa;谷村省吾;谷村省吾;Kazuo Fujikawa;谷村省吾;K. Fujikawa
二次发散的标量质量是减法重整化的，不像其他的发散是乘法重整化的。我们重新研究了减法重整化的一些技术方面，特别是具有高导数正则化的质量无关重整化。然后我们讨论一个非常规的方案来引入重整化<？格式吗?>指向由大固定截止定义的理论中的减法重整化。由此得到的重整化群方程通常是非齐次的，但它被转化为齐次的。在该格式中，重整化标量质量由两个分量组成，一个分量具有普通异常维数，另一个分量与重整化尺度成正比。该方案在维度正则化理论和无减法二次散度理论之间进行插值。
The quadratically divergent scalar mass is subtractively renormalized unlike other divergences which are multiplicatively renormalized. We reexamine some technical aspects of the subtractive renormalization, in particular, the mass-independent renormalization of massivetheory with higher derivative regularization. We then discuss an unconventional scheme to introduce the notion of renormalization <?format ?>pointto the subtractive renormalization in a theory defined by a large fixed cutoff. The resulting renormalization group equation generally becomes inhomogeneous, but it is transformed to be homogeneous. The renormalized scalar mass consists of two components in this scheme, one with the ordinary anomalous dimension and the other which is proportional to the renormalization scale. This scheme interpolates between the theory defined by dimensional regularization and the theory with unsubtracted quadratic divergences.