Effective β-functions for Effective Field Theory
Effective β-functions for Effective Field Theory
复制标题
有效场论的有效 β 函数
DOI：
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发表时间：
2008
期刊：
影响因子：
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通讯作者：
M. Einhorn
中科院分区：
文献类型：
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作者：
M. Einhorn
我们考虑的问题，确定任何约化有效场论的β函数。尽管并非约化有效场论的所有绿色函数都是可重正化的，但与完全有效场论不同，可以计算约化耦合集的某些有效β函数，而不必在冗余算子的费曼规则中引入顶点。这些有效的β函数足以将重整化群方程应用于任何跃迁振幅（即，S-矩阵元），从而使约化有效场论不比传统的可重整化场论更麻烦。这些有效的β函数同样可以被看作是场的特定重新定义的耦合的运行。
We consider the problem of determining the beta-functions for any reduced effective field theory. Even though not all the Green’s functions of a reduced effective field theory are renormalizable, unlike the full effective field theory, certain effective beta-functions for the reduced set of couplings may be calculated without having to introduce vertices in the Feynman rules for redundant operators. These effective beta-functions suffice to apply the renormalization group equation to any transition amplitude (i.e., S-matrix element), thereby rendering reduced effective field theories no more cumbersome than traditionally renormalizable field theories. These effective beta-functions may equally be regarded as the running of couplings for a particular redefinition of the fields.