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Prog. Theor. Phys. Vol. 73 No. 3 (1985) pp. 803-821

[ Full Text PDF : FREE ACCESS (775K) ]

Path Integral Derivation of the Chiral Anomalies in Higher Dimensional Curved Space-Time

Ryusuke Endo and Masaru Takao

Department of Physics, Osaka University, Toyonaka, Osaka 560

(Received October 22, 1984)

Abstract:

The gravitational contributions to the chiral U(1) anomalies for Dirac and Rarita-Schwinger fields in arbitrary even dimensions are derived on the basis of Fujikawa's path integral method. We present two methods to evaluate the Jacobian of the functional measure; the first method consists of performing the integration of the momentum representation of the heat kernel, and the second is a direct application of Schwinger's proper time method.


URL : http://ptp.ipap.jp/link?PTP/73/803/
DOI : 10.1143/PTP.73.803

[ Full Text PDF : FREE ACCESS (775K) ] Citation:

References:

  1. T. Kimura, Prog. Theor. Phys. 42 (1969), 1191[PTP].
    R. Delbourgo and A. Salam, Phys. Lett. 40B (1972), 381.
    T. Eguchi and P. G. O. Freund, Phys. Rev. Lett. 37 (1976), 1251[APS].
  2. N. K. Nielsen, M. T. Grisaru, H. Römer and P. van Nieuwenhuizen, Nucl. Phys. B140 (1978), 477[Elsevier].
    S. M. Christensen and M. J. Duff, Phys. Lett. 76B (1978), 571.
    M. J. Perry, Nucl. Phys. B143 (1978), 114[Elsevier].
    R. Chritchley, Phys. Lett. 78B (1978), 410.
  3. R. Delbourgo and P. D. Jarvis, Phys. Lett. 136B (1984), 43.
    R. Delbourgo and J. J. Gordon, Nuovo Cim., to be published.
  4. J. J. Gordon, Class. Quantum Grav. 1 (1984), 673[CrossRef].
    See, also, R. Delbourgo and T. Matsuki, Tasmania Report (1984), submitted to J. Math. Phys.
  5. L. Alvarez-Gaumé, J. of Phys. A16 (1983), 4177.
    D. Friedan and P. Windey, Nucl. Phys. B235 (1984), 395[Elsevier].
    B. Zumino, Berkeley Report LBL-17972/ UCB-PTH-84/ 17.
  6. L. Alvarez-Gaumé and E. Witten, Nucl. Phys. B234 (1984), 269[Elsevier].
  7. J. M. Gipson, Phys. Rev. D29 (1984), 2989[APS].
  8. J. Wess and B. Zumino, Phys. Lett. 37B (1971), 95.
  9. J. S. Schwinger, Phys. Rev. 82 (1951), 664[APS].
  10. K. Fujikawa, Phys. Rev. Lett. 42 (1979), 1195[APS].
  11. K. Fujikawa, Phys. Rev. D21 (1980), 2848[APS].
  12. R. Endo and T. Kimura, Prog. Theor. Phys. 63 (1980), 683[PTP].
  13. H. Hata and T. Kugo, Nucl. Phys. B158 (1979), 357[Elsevier].
  14. B. S. DeWitt, Dynamical Theory of Groups and Fields (Gordon and Breach, 1965).
  15. N. K. Nielsen, Nucl. Phys. B140 (1978), 499[Elsevier].
    R. E. Kallosh, Nucl. Phys. B141 (1978), 141[Elsevier].
  16. F. A. Berezin, Theor. Math. Phys. 6 (1971), 194.
    M. M. Mizrahi, J. Math. Phys. 16 (1975), 2201[CrossRef].
  17. M. Atiyah and I. Singer, Ann. Math. 87 (1968), 484.
    T. Eguchi, P. B. Gilkey and A. J. Hanson, Phys. Rep. 66 (1980), 213[CrossRef].

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 75 No. 2 (1986) pp. 461-463 :
    Path Integral Derivation of Gravitational Anomalies in Arbitrary Even Dimensions
    Takayuki Matsuki
  2. Progress of Theoretical Physics Vol. 78 No. 2 (1987) pp. 440-452 :
    Chiral Anomalies of Anti-Symmetric Tensor Gauge Fields in Higher Dimensions
    Ryusuke Endo and Masaru Takao
  3. Progress of Theoretical Physics Vol. 78 No. 4 (1987) pp. 886-907 :
    A Space-Time Approach to Chiral Anomalies
    Hidenaga Yamagishi
  4. Progress of Theoretical Physics Vol. 103 No. 3 (2000) pp. 685-696 :
    Gaugeon Formalism for Spin-3/2 Rarita-Schwinger Gauge Field
    Ryusuke Endo and Minoru Koseki

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