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The transverse axial vector and vector anomalies in four-dimensional U(1) gauge theories studied in [Phys. Lett. B 507 (2001) 351] is reexamined by means of perturbative method. The absence of transverse anomalies for both axial vector and vector current is verified. We also show that the Pauli-Villars regularization and dimensional regularization gives the same result on the transverse anomaly of both axial vector and vector current.

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2004年12月29日

【期刊论文】Nonperturbative aspects of axial vector vertex in the global color symmetry model

宗红石， Hong-shi Zong，， *， Xiang-song Chen， Fan Wang， Chao-hsi Chang， and En-guang Zhao

PHYSICAL REVIEW C 66, 015201 (2002)，-0001，（）：

-1年11月30日

摘要

The relation between the axial vector current of current quark and that of constituent quark has been studied within the framework of the global color symmetry model. Gluon dressing of the axial vector vertex and the quark self-energy function are described by the inhomogeneous Bethe-Salpeter equation in the ladder approximation and the Schwinger-Dyson equation in the rainbow approximation, respectively.

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宗红石邀请

南京大学，江苏

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