Prog. Theor. Phys. Vol. 82 No. 6 (1989) pp. 1188-1200

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Quantum Field Theory on Higher-Genus Riemann Surfaces

— b-c Systems —

Reijiro Kubo, Shuichi Ojima,^* Samir K. Paul^** and Hisahiro Yoshii

Research Institute for Theoretical Physics, Hiroshima University, Takehara, Hiroshima 725
^*Department of Physics, Osaka University, Toyonaka 560
^**Institute of Physics, Sachivalaya Marg, Bhubaneswar 7510005

(Received August 4, 1989)

Abstract:

Quantum field theory for b-c systems is formulated on Riemann surfaces with arbitrary genus. We make use of the formalism recently developed by Krichever and Novikov. Hamiltonian is defined property, and the Ward-Takahashi identities are derived on higher-genus Riemann surfaces.

URL : http://ptp.ipap.jp/link?PTP/82/1188/
DOI : 10.1143/PTP.82.1188

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Citing Article(s) :

Progress of Theoretical Physics Vol. 83 No. 6 (1990) pp. 1082-1089 :
Bosonization of Chiral Fermions on Higher Genus Riemann Surfaces

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Progress of Theoretical Physics Vol. 84 No. 6 (1990) pp. 1240-1251 :
Quantum Field Theory on Higher-Genus Riemann Surfaces. II

Reijiro Kubo and Shuichi Ojima
Progress of Theoretical Physics Vol. 87 No. 3 (1992) pp. 743-755 :
Weak Constraints in Conformal Field Theories on Higher-Genus Riemann Surfaces

Gaku Konisi, Takeshi Saito and Wataru Takahasi
Progress of Theoretical Physics Vol. 87 No. 5 (1992) pp. 1065-1073 :
Construction of Super Schwarzian Connection in Conformal Field Theories on Higher-Genus Super Riemann Surfaces

Gaku Konisi, Takesi Saito and Wataru Takahasi
Progress of Theoretical Physics Vol. 92 No. 1 (1994) pp. 249-264 :
N = 1 and 2 Superstrings as Supertopological Models on Higher-Genus Super Riemann Surfaces

Gaku Konisi, Reijiro Kubo and Takesi Saito
Progress of Theoretical Physics Vol. 92 No. 4 (1994) pp. 889-903 :
Super Differential Forms on Super Riemann Surfaces

Gaku Konisi, Takesi Saito and Wataru Takahasi