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arXiv 1607.00822hep-ph
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SU(N)基本表象中无自旋物质场手征拉格朗日量的单圈重整化

One-loop renormalization of the chiral Lagrangian for spinless matter fields in the SU(N) fundamental representation

Meng-Lin Du, Feng-Kun Guo, Ulf-G. Meißner

摘要:

我们对SU(N)基本表象中的无自旋物质场进行了手征拉格朗日量的主单圈重整化。拉格朗日量也可以应用于任何具有$SU(N)_L\times SU(N)_R$到$SU(N)_V$的自发对称性破缺缺和基本表象中的无自旋物质场的理论。对于QCD,物质场可以是K介子或赝标重介子。利用背景场方法和热核展开技术,计算了单物质场关联函数的单圈有效生成泛函的发散度,直到$\mathcal{O}(p^3)$。它们不仅被三阶反项吸收,而且被二阶手征拉格朗日反项吸收。

英文摘要:

We perform the leading one-loop renormalization of the chiral Lagrangian for spinless matter fields living in the fundamental representation of SU(N). The Lagrangian can also be applied to any theory with a spontaneous symmetry breaking of $SU(N)_L\times SU(N)_R$ to $SU(N)_V$ and spinless matter fields in the fundamental representation. For QCD, the matter fields can be kaons or pseudoscalar heavy mesons. Using the background field method and heat kernel expansion techniques, the divergences of the one-loop effective generating functional for correlation functions of single matter fields are calculated up to $\mathcal{O}(p^3)$. They are absorbed by counterterms not only from the third order but also from the second order chiral Lagrangian.

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