An Anomaly Associated with Ward–Takahashi Identity for Pseudo-Tensor Current in QED

doi:10.1088/0256-307X/29/12/121101

Chin. Phys. Lett.

2012, Vol. 29

Issue (12): 121101 DOI: 10.1088/0256-307X/29/12/121101

THE PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

An Anomaly Associated with Ward–Takahashi Identity for Pseudo-Tensor Current in QED

BAO Ai-Dong^1,2**, SUN Yi-Qian², WANG Dan²

¹Department of Physics, Northeast Normal University, Changchun 130024
²Department of Physics, Jilin University, Changchun 130023

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BAO Ai-Dong, SUN Yi-Qian, WANG Dan 2012 Chin. Phys. Lett. 29 121101

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Abstract We study the quantum anomaly for the transverse Ward–Takahashi relations in the four-dimensional gauge theory QED by using Fujikawa's method in which the anomaly is fundamentally a variation of the functional integral measure under transformation. A regulator which leads to a finite result for the anomaly is proposed. It is shown that a novel anomaly associated with transverse Ward–Takahashi identity of pseudo-tensor current is derived due to a set of infinitesimal transverse transformation of field variables.

Received: 13 September 2012 Published: 04 March 2013

PACS:	11.15.-q	(Gauge field theories)
	11.40.Dq
	12.20.-m	(Quantum electrodynamics)

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https://cpl.iphy.ac.cn/10.1088/0256-307X/29/12/121101 OR https://cpl.iphy.ac.cn/Y2012/V29/I12/121101

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	BAO Ai-Dong
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