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Note on anomalies in field theories


In this note, we investigate the anomalies in field theories. The results of the anomalies through Feynman diagrams calculation are multi-valued function. These single-valued branches of multi-valued function are related to the bound states of neutral pseudoscalar mesons. Adding these bound state contributions, we obtain a new anomaly free condition that all the external particles are on-shell and find the non-perturbative mass spectrum of neutral pseudoscalar mesons. We also discuss the anomaly in 2 dimensional QFT.
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From: 刘昌勇
Recommended references: 刘昌勇.(2020).Note on anomalies in field theories.[ChinaXiv:202008.00076] (Click&Copy)
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[V3] 2020-11-02 09:54:58 chinaXiv:202008.00076V3 Download
[V2] 2020-09-14 17:11:55 chinaXiv:202008.00076v2(View This Version) Download
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