BFV Quantization of the Bosonized Schwinger Model

MIAO Yan-Gang

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2024年10月30日

Chinese Physics C> 1993, Vol. 17> Issue(5) : 407-411

BFV Quantization of the Bosonized Schwinger Model

MIAO Yan-Gang ^,

Department of Physics,Lanzhou University 730000

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Abstract：
The bosonized Schwinger model is quantized by using the Batalin-Fradkin-Vilkovisky(BFV) formalism.The quantized versions of the model, which are equivalent to those obtained in terms of the path-integral and Dirac's method,are derived through appropriate choiees of the Fermi function.

References

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J. Schwinger,Phys. Rev.，128(1962),2425; J. H. Lowenstein and J. A. Swieca, Ann. Phys. (N. Y. ),68(1971)，172.[2]A. V. Manohar, Phys. Rev. Lett. ,66(1991),1663.[3]W. Siegel, Nucl. Phys.，B238(1984),307.[4]J. M. F. Labastida and A. V. Ramallo, Phys. Lett. ,B222(1989),231.[5]J. McCabe, Phys. Lett.，B257(1991),145.[6]R. Floreanini and R. Jackiw, Phys. Rev. lett.，59(1987),1873;M. E. V. Costa and H. O. Girotti, Phys. Rev. Lett. ,60(1988) ,1771;M. Bernstein and J. Sonnenschein, Phys. Rev. Lett. ,60(1988)，1772;P. P. Srivastava, Phys. Rev. Lett. ,63(1989),2791;K.Harada,Phys. Rev.lett.,65(1990),267.[7]C. M. Naon and C. Wotzasek，J. Phys，G16(1990),795 M. Chanowita, Phys. Lett.B171(1986),280.[8]R. lackiw and R. Rajaraman,Phys. Rev. Lett.，54(1985),1219;54(1985),2060(E).[9]K. Harada and I. Tsutsui, Phys. Lett.，B183(1987),311.[10]J. Wess and B. Zumino, Phys. Lett.，B37(1971),95.[11]P. A. M. Dirac, Lectures on Quantum Mechanics. Belfer Graduate School of Science, Yeshiva Univ. Press,1964.[12]C. Wotzasek and C. M: Naon, Z. Phys.，C46(1990),445; C. Wotzasek, Act. Phys. Pol.，B21(1990),457.[13]Th, Heinzl,St. Krusche and E. Werner, Phys. Lett.，B256(1991),55.[14]I. A. Batalin and G. A. Vilkovisky,Phys.lett.B69(1977),309; E. S. Fradkin and G. A. Vilkovisky,Phys.lett.B55(1975),224.[15]M. Gomes, V. O. Rivelles and A. J. da Silva, Phys. Lett.，B218. (1989),63:P. P.Srivastava, Phys.lett.，B235(1990),287.R. Amorim and J. Barcelos-Neto, Phys. lett,B258(1991),335.[16]R. Jackiw, Relativity, Groups and Topology II. ed. B. DeWitt and R. Stora, North-Holland, Amsterdam,1984.[17]J. Kogut and L. Susskind, Phys. Rev.，D11(1975),3594.

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MIAO Yan-Gang. BFV Quantization of the Bosonized Schwinger Model[J]. Chinese Physics C, 1993, 17(5): 407-411.

MIAO Yan-Gang. BFV Quantization of the Bosonized Schwinger Model[J]. Chinese Physics C, 1993, 17(5): 407-411. shu

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Received: 1900-01-01
Revised: 1900-01-01

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BFV Quantization of the Bosonized Schwinger Model

MIAO Yan-Gang ^,

Corresponding author: MIAO Yan-Gang,

Department of Physics,Lanzhou University 730000

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1993-05-05

Abstract: The bosonized Schwinger model is quantized by using the Batalin-Fradkin-Vilkovisky(BFV) formalism.The quantized versions of the model, which are equivalent to those obtained in terms of the path-integral and Dirac's method,are derived through appropriate choiees of the Fermi function.