External Gauge Invariance and Anomaly in BS Vertices and Boundstates : Particles and Fields
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概要
- 論文の詳細を見る
A systematic method is given for obtaining consistent approximations to the Schwinger-Dyson (SD) and Bethe-Salpeter (BS) equations which maintain the external gauge invariance. We show that for any order of approximation to the SD equation there is a corresponding approximation to the BS equations such that the solutions to those equations satisfy the Ward-Takahashi identities of the external gauge symmetry. This formulation also clarifies the way how we can calculate the Green functions of current operators in a consistent manner with the gauge invariance and the axial anomaly. We show which type of diagrams for the π^0→γγ amplitude using the pion BS amplitude give result consistent with the low-energy theorem. An interesting phenomenon is observed in the ladder approximation that the low-energy theorem is saturated by the zeroth order terms in the external momenta of the pseudoscalar BS amplitude and the vector vertex functions.
- 理論物理学刊行会の論文
- 1994-05-25
著者
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Harada Masayasu
Department of Physics, Nagoya University
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KUGO Taichiro
Department of Physics, Kyoto University
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九後 汰一郎
Department of Physics, Kyoto University
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BANDO Masako
Department of Physics, Kyoto University
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Kugo Taichiro
Department Of Physics Kyoto University
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Harada Masayasu
Department Of Physics Kyoto University
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Bando Masako
Department Of Nuclear Science Kyoto University
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HARADA Masayasu
Department of Physics,Kyoto University
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HARADA Masayasu
Department of Physics, Kyoto University
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