中国物理B ›› 1995, Vol. 4 ›› Issue (2): 88-98.doi: 10.1088/1004-423X/4/2/002

• THE PHYSICS OF ELEMENTARY PARTICLES AND FIELDS • 上一篇    下一篇

CHIRAL ANOMALY AND UNAMBIGUOUS TERMS OF EXACT SCALE BEHAVIOR

杨继锋, 倪光炯   

  1. Department of Physics, Fudan University, Shanghai 200433, China
  • 收稿日期:1994-01-03 出版日期:1995-02-20 发布日期:1995-02-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China and by the Foundation of State Education Commission of China.

CHIRAL ANOMALY AND UNAMBIGUOUS TERMS OF EXACT SCALE BEHAVIOR

YANG JI-FENG (杨继锋), NI GUANG-JIONG (倪光炯)   

  1. Department of Physics, Fudan University, Shanghai 200433, China
  • Received:1994-01-03 Online:1995-02-20 Published:1995-02-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China and by the Foundation of State Education Commission of China.

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摘要： We perform new explicit and regularization-independent calculations of < AV > amplitude in QED1+1 and amplitude in QED1+3 respectively to reinvestigate the anomaly problem. A kind of finite and unambiguous terms of exact scale behavior (in momentum space) is found to be responsible for the anomalies both in QED1+1 and QED1+1. They come from logarithmically divergent momentum integrals in contrast with the usual knowledge for triaugle anomaly in QED1+3. In QED1+1, this term is also responsible for photon mass generation. Some implications and possible relations with other aspects of anomaly are discussed.

Abstract: We perform new explicit and regularization-independent calculations of < AV > amplitude in QED1+1 and amplitude in QED1+3 respectively to reinvestigate the anomaly problem. A kind of finite and unambiguous terms of exact scale behavior (in momentum space) is found to be responsible for the anomalies both in QED1+1 and QED1+1. They come from logarithmically divergent momentum integrals in contrast with the usual knowledge for triaugle anomaly in QED1+3. In QED1+1, this term is also responsible for photon mass generation. Some implications and possible relations with other aspects of anomaly are discussed.

中图分类号:  (Specific calculations)

  • 12.20.Ds
11.10.-z (Field theory) 11.30.Rd (Chiral symmetries)