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Prog. Theor. Phys. Vol. 80 No. 2 (1988) pp. 311-329
Gravitational Anomaly and Path Integral Jacobian of Anti-Symmetric Tensor Gauge Field
Ryusuke Endo
Department of Physics, Osaka University, Toyonaka 560
(Received May 2, 1988)
Abstract:
A path integral formula is presented for the covariant gravitational anomaly of
the self-dual anti-symmetric tensor gauge field. With the help of this
formula, it is shown that the path integral Jacobian of the self-dual field
strength under the general coordinate transformation is twice as large as the
gravitational anomaly. It is also shown perturbatively that a chiral
bi-spinor field accompanied with appropriate Faddeev-Popov ghosts describes a
system of two self-dual anti-symmetric tensor gauge fields.
URL :
http://ptp.ipap.jp/link?PTP/80/311/
DOI : 10.1143/PTP.80.311
References:
-
K. Fujikawa, Phys. Rev. Lett. 42 (1979), 1195[APS];
ibid. Phys. Rev. D21 (1980), 2848[APS].
-
K. Fujikawa, Phys. Rev. Lett. 44 (1980), 1733[APS];
ibid. Phys. Rev. D23 (1981), 2262[APS].
- L. Alvarez-Gaumé and E. Witten, Nucl. Phys. B234 (1984), 269.
- K. Fujikawa, Nucl. Phys. B226 (1983), 437.
K. Fujikawa and O. Yasuda, Nucl. Phys. B245 (1984), 436.
- N. Marcus and J. H. Schwarz, Phys. Lett. 115B (1982), 111.
- W. Siegel, Nucl. Phys. B238 (1984), 307.
- J. M. F. Labastida and M. Pernici, Nucl. Phys. B297 (1988), 557.
-
E. Witten, Commun. Math. Phys. 100 (1985), 197[CrossRef].
- R. Endo, Phys. Lett. B202 (1988), 105.
- K. Fujikawa, M. Tomiya and O. Yasuda, Z. Phys. C28 (1985), 289.
- R. Endo and M. Takao, Prog. Theor. Phys. 78 (1987), 440[PTP].
- K. Fujikawa, in Quantum Gravity and Cosmology, ed. H. Sato and T. Inami (World Scientific, Singapore, 1986).
T. Matsuki, Prog. Theor. Phys. 75 (1986), 461[PTP].
-
O. Alverz, I. M. Singer and B. Zumino, Commun. Math. Phys. 96 (1984), 409[CrossRef].
L. Alverz-Gaumé and P. Ginsparg, Ann. of Phys. 161 (1985), 423[CrossRef].
-
R. Delbourgo and T. Matsuki, J. Math. Phys. 26 (1985), 1334[CrossRef].
- T. Sumitani, Tokyo University Preprint, Komaba 12 (1984).
L. Alvarez-Gaumé , S. Della Pietra and G. Moore, Ann. of Phys. 163 (1985), 288[CrossRef].
- W. A. Bardeen and B. Zumino, Nucl. Phys. B244 (1984), 421.
L. Baulieu and J. Thierry-Mieg, Phys. Lett. 145B (1984), 53.
F. Langouche, T. Scücker and R. Stora, Phys. Lett. 145B (1984), 342.
L. Bonora, P. Pasti and M. Tonin, Phys. Lett. 149B (1984), 346.
- H. Leutwyler, Phys. Lett. 153B (1985), 65.
H. Leutwyler and S. Malik, Z. Phys. C33 (1986), 205.
F. Langouche, Phys. Lett. 148B (1984), 93.
-
L. N. Chang and H. T. Nieh, Phys. Rev. Lett. 53 (1984), 21[APS].
H. T. Nieh, Phys. Rev. Lett. 53 (1984), 2219[APS].
S. Yajima and T. Kimura, Phys. Lett. B173 (1986), 154; Prog. Theor. Phys. 77 (1987), 1517[PTP].
-
T. Eguchi, P. B. Gilkey and A. J. Hanson, Phys. Rep. 66 (1980), 213[CrossRef].
-
J. S. Schwinger, Phys. Rev. 82 (1951), 664[APS].
B. S. DeWitt, Dynamical Theory of Groups and Fields (Gordon and Breach, New York, 1965).
- P. K. Townsend, Phys. Lett. 88B (1979), 97.
- W. Siegel, Phys. Lett. 93B (1980), 170.
- T. Kimura, Prog. Theor. Phys. 64 (1980), 357[PTP];
J. of Phys. A13 (1980), L353[IoP STACKS]; Prog. Theor. Phys. 65 (1981), 338[PTP].
-
J. S. Dowker and R. Chritchley, Phys. Rev. D16 (1977), 3390[APS].
S. W. Hawking, Commun. Math. Phys. 55 (1977), 133[CrossRef].
- J. M. F. Labastida and M. Pernici, IASSNS-HEP-87/44.
