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Prog. Theor. Phys. Vol. 63 No. 2 (1980) pp. 683-695

[ Full Text PDF : FREE ACCESS (897K) ]

Axial Anomaly for Gravitino and Unconventional FP Ghosts

Ryusuke Endo and Toshiei Kimura

Research Institute for Theoretical Physics, Hiroshima University, Takehara, Hiroshima 725

(Received November 5, 1979)

Abstract:

The axial anomaly for the gravitino in a background gravitational field is obtained by using the new formalism of Hata and Kugo for supergravity with unconventional Faddeev-Popov (FP) ghosts. Despite the new FP ghosts have essentially different features from the ordinary ones it is shown that the anomaly leads to the same value as the ordinary one which is -21 times that of a spin 1/2 Majorana Fermion. This means that in the new formalism the part which contributes to the anomaly is the Lagrangian multiplier for gauge fixing and not FP ghosts in contrast to the case of the ordinary formalism. The relation between the canonical formalism of Hata-Kugo and the functional integral formalism is clarified. It is also shown that the axial anomaly is obtained within the framework of the path integral formalism by adopting the zeta-function regularization method.


URL : http://ptp.ipap.jp/link?PTP/63/683/
DOI : 10.1143/PTP.63.683

[ Full Text PDF : FREE ACCESS (897K) ] Citation:

References:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 64 No. 1 (1980) pp. 357-360 :
    Antisymmetric Tensor Gauge Field in General Covariant Gauges
    Toshiei Kimura
  2. Progress of Theoretical Physics Vol. 73 No. 3 (1985) pp. 803-821 :
    Path Integral Derivation of the Chiral Anomalies in Higher Dimensional Curved Space-Time
    Ryusuke Endo and Masaru Takao
  3. Progress of Theoretical Physics Vol. 116 No. 1 (2006) pp. 197-215 :
    Overlap Lattice Fermion in a Gravitational Field
    Masashi Hayakawa, Hiroto So and Hiroshi Suzuki
  4. Progress of Theoretical Physics Vol. 121 No. 5 (2009) pp. 983-1002 :
    An Irreducible Form of Gamma Matrices for HMDS Coefficients of the Heat Kernel in Higher Dimensions
    Makoto Fukuda, Satoshi Yajima, Yoji Higashida, Shin-Ichiro Kubota, Shoshi Tokuo and Yuki Kamo

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