Prog. Theor. Phys. Vol. 73 No. 2 (1985) pp. 528-532

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Letters

Induced Chern-Simons Class with Lattice Fermions

Hiroto So

Department of Physics, Kyushu University, 33, Fukuoka 812

(Received November 2, 1984)

Abstract:

In 3-dimensional lattice gauge theories with Wilson fermions, the `Parity' violating topological mass tern (the Chern-Simons class) is found to arise through the fermion loop. The coefficient of the class is consistent with the topoligical mass quantization. The result is extended to higher odd dimensional cases.

URL : http://ptp.ipap.jp/link?PTP/73/528/
DOI : 10.1143/PTP.73.528

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Citing Article(s) :

Progress of Theoretical Physics Vol. 74 No. 3 (1985) pp. 585-593 :
Induced Topological Invariants by Lattice Fermions in Odd Dimensions

Hiroto So
Progress of Theoretical Physics Vol. 77 No. 3 (1987) pp. 711-730 :
Quantization of Conductivity Induced by Topological Structure of Energy-Momentum Space in Generalized QED₃

Toyoki Matsuyama
Progress of Theoretical Physics Vol. 91 No. 6 (1994) pp. 1101-1117 :
Complex Wave Function, Chiral Spin Order Parameter and Phase Problem

Masahiro Imachi and Hiroshi Yoneyama
Progress of Theoretical Physics Vol. 92 No. 3 (1994) pp. 693-698 :
A Parity Invariant Regularization in 3-D Quantum Electrodynamics

Tadahiko Kimura
Progress of Theoretical Physics Vol. 94 No. 5 (1995) pp. 899-914 :
Bosonization and Duality of Massive Thirring Model

Ken-Ichi Kondo