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Anomalies

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An Introduction to Non-Abelian Discrete Symmetries for Particle Physicists

Part of the book series: Lecture Notes in Physics ((LNP,volume 858))

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Abstract

In general, symmetries at the tree level can be broken by quantum effects, that is, anomalies. We review anomalies of discrete Abelian and non-Abelian symmetries. Also the anomaly-free conditions are given explicitly for the discrete groups, which are studied in the previous chapters.

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Notes

  1. 1.

    See also [11].

  2. 2.

    For some applications, see, e.g., [12].

References

  1. Fujikawa, K.: Phys. Rev. Lett. 42, 1195 (1979)

    Article  ADS  Google Scholar 

  2. Fujikawa, K.: Phys. Rev. D 21, 2848 (1980)

    Article  ADS  MathSciNet  Google Scholar 

  3. Araki, T., Kobayashi, T., Kubo, J., Ramos-Sanchez, S., Ratz, M., Vaudrevange, P.K.S.: Nucl. Phys. B 805, 124 (2008). arXiv:0805.0207 [hep-th]

    Article  ADS  Google Scholar 

  4. Alvarez-Gaume, L., Witten, E.: Nucl. Phys. B 234, 269 (1984)

    Article  ADS  Google Scholar 

  5. Alvarez-Gaume, L., Ginsparg, P.H.: Ann. Phys. 161, 423 (1985)

    Article  ADS  Google Scholar 

  6. Fujikawa, K., Ojima, S., Yajima, S.: Phys. Rev. D 34, 3223 (1986)

    Article  ADS  MathSciNet  Google Scholar 

  7. Rohlin, V.: Dokl. Akad. Nauk 128, 980–983 (1959)

    Google Scholar 

  8. Csaki, C., Murayama, H.: Nucl. Phys. B 515, 114–162 (1998). arXiv:hep-th/9710105

    Article  ADS  Google Scholar 

  9. Araki, T.: Prog. Theor. Phys. 117, 1119–1138 (2007). arXiv:hep-ph/0612306

    Article  ADS  Google Scholar 

  10. Green, M.B., Schwarz, J.H.: Phys. Lett. B 149, 117–122 (1984)

    Article  ADS  MathSciNet  Google Scholar 

  11. Kobayashi, T., Nakano, H.: Nucl. Phys. B 496, 103–131 (1997). arXiv:hep-th/9612066

    Article  ADS  Google Scholar 

  12. Fukuoka, H., Kubo, J., Suematsu, D.: Phys. Lett. B 678, 401 (2009). arXiv:0905.2847 [hep-ph]

    Article  ADS  Google Scholar 

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Authors and Affiliations

  1. Kobayashi-Maskawa Institute for the Origin of Particles and the Universe (KMJ), Nagoya University, Nagoya, Japan

    Hajime Ishimori

  2. School of Physics, Korean Institute for Advanced Study, Seoul, Korea

    Tatsuo Kobayashi

  3. Department of Physics, Kyoto University, Kyoto, Japan

    Hiroshi Ohki

  4. Department of Physics, Niigata University, Niigata, Japan

    Hiroshi Okada

  5. Department of Physics, Niigata University, Niigata, Japan

    Yusuke Shimizu

  6. Department of Physics, Niigata University, Niigata, Japan

    Morimitsu Tanimoto

Authors
  1. Hajime Ishimori
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  2. Tatsuo Kobayashi
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  3. Hiroshi Ohki
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  4. Hiroshi Okada
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  5. Yusuke Shimizu
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  6. Morimitsu Tanimoto
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Ishimori, H., Kobayashi, T., Ohki, H., Okada, H., Shimizu, Y., Tanimoto, M. (2012). Anomalies. In: An Introduction to Non-Abelian Discrete Symmetries for Particle Physicists. Lecture Notes in Physics, vol 858. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-30805-5_15

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  • DOI: https://doi.org/10.1007/978-3-642-30805-5_15

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-30804-8

  • Online ISBN: 978-3-642-30805-5

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