The Renormalization of the effective gauge Lagrangian with spontaneous symmetry breaking: The U(1) case
The Renormalization of the effective gauge Lagrangian with spontaneous symmetry breaking: The U(1) case
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具有自发对称破缺的有效规范拉格朗日函数的重整化：U(1) 情况
DOI：
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发表时间：
2002
期刊：
影响因子：
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通讯作者：
D. Du
中科院分区：
文献类型：
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作者：
Q. Yan;D. Du
研究了具有自发对称破缺的非线性有效SU（2）拉格朗日量到O（p（4））的重整化。的Stueckelberg变换，背景场规范，Schwinger适当的时间和热核方法，和协变的短距离扩展技术保证规范协方差和纳入沃德（斯拉夫诺夫-泰勒）身份的计算。一个修改的功率计数规则，引入一致的估计和控制的贡献，更高的循环和高维运营商。给出了有效耦合的单圈重正化群方程，并进行了分析。我们发现，当Higgs标量玻色子远低于其退耦极限时，直接方法和重整化群方程方法所得结果之间的差异可能相当大。为了理解这种差异，我们给出了可重整SU（2）Higgs模型中d（1）的精确单圈计算。在有效理论方法的框架下，提出了一种更好的单回路计算方法。
We study the renormalization of the nonlinear effective SU(2) Lagrangian up to O(p(4)) with spontaneous symmetry breaking. The Stueckelberg transformation, the background field gauge, the Schwinger proper time and heat kernel method, and the covariant short distance expansion technology guarantee gauge covariance and incorporate the Ward (Slavnov-Taylor) identities in the calculations. A modified power counting rule is introduced to consistently estimate and control the contributions of higher loops and higher-dimension operators. The one-loop renormalization group equations of the effective couplings are provided and analyzed. We find that the difference between the results obtained from the direct method and the renormalization group equation method can be quite large when the Higgs scalar boson is far below its decoupling limit. The exact one-loop calculation of d(1) in the renormalizable SU(2) Higgs model is provided to understand such a difference. A better way of calculating at the one-loop level in the framework of the effective theory method is suggested.