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arXiv 2105.04877hep-ph
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Goldstone玻色子衰变与手征反常

Goldstone boson decays and chiral anomalies

Stefan Pokorski, Kazuki Sakurai

摘要:

Martinus Veltman第一个指出$π^0\rightarrowγγ$衰变率的实验值和J. Steinberger的计算值与非常成功的概念不一致,该概念将π介子作为强相互作用自发破缺的全局轴对称性的(伪)南武-戈德斯通玻色子。这种不一致性已经被J. Bell和R.在他们关于手征异常的著名论文中。本文综述了阿贝尔类矢量和手征规范理论中轴子衰变为两个规范玻色子的振幅之间的联系。轴子是Nambu-Goldstone玻色子的一个自发破缺的轴向全球对称的理论。与类矢量规范理论类似,在手征规范理论中,轴子衰变振幅也是由非线性实现的轴对称流的反常决定的。某些微妙的手征规范理论的异常计算强调。

英文摘要:

Martinus Veltman was the first to point out the inconsistency of the experimental value for the decay rate of $π^0\rightarrowγγ$ and its calculation by J. Steinberger with the very successful concept of the pion as the (pseudo)Nambu-Goldstone boson of the spontaneously broken global axial symmetry of strong interactions. That inconsistency has been resolved by J. Bell and R. Jackiw in their famous paper on the chiral anomalies. We review the connection between the decay amplitudes of an axion into two gauge bosons in Abelian vector-like and chiral gauge theories. The axion is the Nambu-Goldstone boson of a spontaneously broken axial global symmetry of the theory. Similarly as for the vector-like gauge theory, also in the chiral one the axion decay amplitude is determined by the anomaly of the current of the axial symmetry in its non-linear realization. Certain subtlety in the calculation of the anomaly in chiral gauge theories is emphasised.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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