Quick Search:
Prog. Theor. Phys. Vol. 77 No. 6 (1987) pp. 1463-1483
Anomalies and Weyl Modes in Chiral Gauge Theories
Takanori Fujiwara and
Yoshio Ohnuki*
Department of Physics, Ibaraki University, Mito 310
* Department of Physics Nagoya University, Nagoya 464
(Received December 16, 1986)
Abstract:
Fermion number nonconservations due to chiral U(1) anomalies are investigated in the framework of canonical quantization by using some model field theories of chiral fermion systems coupled to external electromagnetic fields. In any even dimensions these theories may contain particle spectra which behave effectively as two dimensional Weyl fermions. They must carefully be taken into account in defining fermion number operators with normal ordering and are shown to have an essential role of generating fermion number nonconservations.
URL :
http://ptp.ipap.jp/link?PTP/77/1463/
DOI : 10.1143/PTP.77.1463
References:
-
S. L. Adler, Phys. Rev. 177 (1969), 2426[APS].
J. Bell and R. Jackiw, Nuovo Cim. 60A (1969), 47.
-
W. A. Bardeen, Phys. Rev. 184 (1969), 1848[APS].
- M. F. Atiyah and I. M. Singer, Ann. Math. 87 (1968), 484.
-
G. 't Hooft, Phys. Rev. Lett. 37 (1976), 8[APS];
Phys. Rev. D14 (1976), 3432[APS].
-
K. Fujikawa, Phys. Rev. Lett. 42 (1979), 1195[APS];
Phys. Rev. D21 (1980), 2848[APS].
- H. B. Nielsen and M. Ninomiya, Phys. Lett. 130B (1983), 389.
A. Manohar, Phys. Lett. 153B (1985), 153, and references cited therein.
-
J. Ambjørn, J. Greensite and C. Peterson, Nucl. Phys. B221 (1983), 381[Elsevier].
-
N. H. Christ, Phys. Rev. D21 (1980), 1591[APS].
-
K. Ishikawa, Phys. Rev. Lett. 53 (1984), 1615[APS].
-
J. Kiskis, Phys. Rev. D31 (1985), 2006[APS].
-
Zhao-bin Su and B. Sakita, Phys. Rev. Lett. 56 (1986), 780[APS].
- T. Fujiwara and Y. Ohnuki, Prog. Theor. Phys. 76 (1986), 1182[PTP].
- A. D'Adda, A. C. Davis and P. Di Vecchia, Phys. Lett. 121B (1983), 335.
- Y. Kawamura, T. Suzuki and E. Yamada, private communication, Nov. 1986.
- T. Goto and T. Imamura, Prog. Theor. Phys. 14 (1955), 396[PTP].
J. Schwinger, Phys. Rev. Lett. 3 (1959), 296[APS].
L. D. Faddeev, Phys. Lett. 145B (1984), 81.
-
R. Jackiw, Phys. Rev. D29 (1984), 2375[APS].
-
Y. Aharonov and D. Bohm, Phys. Rev. 115 (1959), 485[APS];
ibid. 1963, 1625[APS].
-
P. H. Frampton and T. W. Kephart, Phys. Rev. Lett. 50 (1983), 1343[APS];
ibid. 50 (1983), 1347[APS];
Phys. Rev. D28 (1983), 1010[APS].
Citing Article(s) :
-
Progress of Theoretical Physics Vol. 82 No. 6 (1989) pp. 1164-1188
:
-
A Particle-Picture Approach to Integrated Chiral U(1) Anomaly in Minkowski Space-Time
-
Toshiharu Itoh and Kazuhiko Odaka
