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Recent Developments in the Path Integral Approach to Anomalies

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Book cover Super Field Theories

Part of the book series: NATO Science Series ((NSSB,volume 160))

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Abstract

After a brief summary of the path integral approach to anomalous identities, some of the recent developments in this approach are discussed. The topics discussed include

  1. (i)

    Construction of the effective action by means of the covariant current,

  2. (ii)

    Gauss law constraint in anomalous gauge theories,

  3. (iii)

    Path integral approach to anomalies in superconformai transformations,

  4. (iv)

    Conformai and ghost number anomalies in string theory in analogy with the instanton calculation,

  5. (v)

    Covariant local Lorentz anomaly and its connection with the mathematical construction of the consistent anomaly.

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Note added

  1. The possible quantization of anomalous gauge theories has been discussed by G. Semenoff and by C.M. Viallet at this Workshop, where more detailed related references are found.

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  2. The gravitational path integral measure has been recently analysed by D. Toms (Univ. of New Castle preprint, NCL-86 TP6, 1986). I believe that his prescription is essentially the same as the one used in this note, although the phrasing is somewhat different.

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  3. Various aspects of anomalous identities have also been discussed by R.B. Mann, V. Elias, G. McKeon and H.C. Lee at this Workshop

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Author information

Authors and Affiliations

  1. Research Institute for Theoretical Physics, Hiroshima University, Hiroshima, Takehara, 725, Japan

    Kazuo Fujikawa

Authors
  1. Kazuo Fujikawa
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Editor information

Editors and Affiliations

  1. Chalk River Nuclear Laboratories, Chalk River, Ontario, Canada

    H. C. Lee

  2. University of Western Ontario, London, Ontario, Canada

    V. Elias

  3. University of Winnipeg, Winnipeg, Manitoba, Canada

    G. Kunstatter

  4. University Of Toronto, Toronto, Ontario, Canada

    R. B. Mann

  5. Simon Fraser University, Burnaby, British Columbia, Canada

    K. S. Viswanathan

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© 1987 Plenum Press, New York

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Fujikawa, K. (1987). Recent Developments in the Path Integral Approach to Anomalies. In: Lee, H.C., Elias, V., Kunstatter, G., Mann, R.B., Viswanathan, K.S. (eds) Super Field Theories. NATO Science Series, vol 160. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-0913-0_8

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  • DOI: https://doi.org/10.1007/978-1-4613-0913-0_8

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4612-8242-6

  • Online ISBN: 978-1-4613-0913-0

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