Extension of the Linear Self-Dual Constraint Theory and Its Quantization

MIAO Yan-Gang

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2024年10月30日

Chinese Physics C> 1993, Vol. 17> Issue(7) : 626-630

Extension of the Linear Self-Dual Constraint Theory and Its Quantization

MIAO Yan-Gang ^,

Department of Physics,Lanzhou University,Lanzhou 730000

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Abstract：
We extend the self-dual field theory with a linear self-dual constraint to include an arbitrary potential of the Lagrange multiplier field.We show that this theory coincides with the Floreanini-Jackiw's formalism only for a quadratic potential,and the free scalar field theory for the potentials of the Lagrange multiplier to finite and positive power.

References

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D. J. Gross et al. Phys. Rev.lett. ,54(1985),502.[2]X. G. Wen.Phys. Rev. Lett. ,64(1990),2206;Phys.Rev. B41(1990) ,1238.[3]W. Siegel , Nucl. Phys. , B238 (1984 ) , 307.[4]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.[5]M. Bernstein and J. Sonnenschein,Phys.Rev.Lett. ,60(1988),1772.[6]P. P.Srivastava, Phys.Rev.lett. ,63(1989),2791.[7]K. Harada ,Phys. Rev. Lett. , 65(1990) , 267.[8]Y. -G. Miao, Commun. Theor. Phys. ,19(1993) ,125.[9]R. Link , Fortschr. Phys. ,39(1991) , 393.[10]W. T. Kim,J. K. Kim and Y. J. Park,Phys. Rev. ,D44(1991),563.[11]P. A. M. Dirac,Lectures on Quantum Mechanics, Belfer Graduate School of Science,Yeshiva Univ. Press,1964.

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MIAO Yan-Gang. Extension of the Linear Self-Dual Constraint Theory and Its Quantization[J]. Chinese Physics C, 1993, 17(7): 626-630.

MIAO Yan-Gang. Extension of the Linear Self-Dual Constraint Theory and Its Quantization[J]. Chinese Physics C, 1993, 17(7): 626-630. shu

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

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沈阳化工大学材料科学与工程学院沈阳 110142

Extension of the Linear Self-Dual Constraint Theory and Its Quantization

MIAO Yan-Gang ^,

Corresponding author: MIAO Yan-Gang,

Department of Physics,Lanzhou University,Lanzhou 730000

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1993-07-05

Abstract: We extend the self-dual field theory with a linear self-dual constraint to include an arbitrary potential of the Lagrange multiplier field.We show that this theory coincides with the Floreanini-Jackiw's formalism only for a quadratic potential,and the free scalar field theory for the potentials of the Lagrange multiplier to finite and positive power.