Faddeev-Jackiw Quantization of the Gauge Invariant Self-Dual Fields Relative to String Theory

LIAO Ling; HUANG Yong-Chang

Chinese Physics C> 2006, Vol. 30> Issue(3) : 191-195

Faddeev-Jackiw Quantization of the Gauge Invariant Self-Dual Fields Relative to String Theory

LIAO Ling ,
HUANG Yong-Chang ^,

Institute of Theoretical Physics, College of Applied Mathematics and Physics, Beijing University of Technology, Beijing 100022, China2 CCAST World Lab., Beijing 100080, China

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Abstract：
A new symplectic Lagrangian density and Faddeev-Jackiw (FJ) generalized brackets of the gauge invariant self-dual fields interacting with gauge fields have been obtained and FJ quantization of this system has been presented. Furthermore, the FJ method is compared with Dirac method and the results indicate that the two methods are equivalent in the quantization of this system. After analizing, it can be found in this paper that the FJ method is really simpler than the Dirac method, namely, the FJ method obviates the need to distinguish primary and secondary constraints and the first- and the second-class constraints. Therefore, the FJ method is a more economical and effective method of quantization.

References

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. Marc Henneaux, Claudio Teitelboim. Quantization ofGauge Systems. Princeton, New Jersey: Princeton University Press, 19922. Gitman D M, Tyutin I V. Quantization of Fields with Con-straints. Berlin: Springer-Verlag, 19903. Dirac P A M. Lectures on Quantum Mechanics. New York:Yeshiva University, 19644. Floreanini R, Jackiw R. Phys. Rev. Lett., 1987, 59: 18735. Faddeev L, Jackiw R. Phys. Rev. Lett., 1988, 60: 16926. Wotzasek C. Mod. Phys. Lett., 1993, A8: 25097. Barcelos-Neto J,Wotzasek C. Int. J. Mod. Phys., 1992, A7:49818. Montani H, Wotzasek C. Mod. Phys. Lett., 1993, A8: 33879. Labastid J M F, Pernici M. Phys. Rev. Lett., 1987, 59:251110. Siegel W. Phys. Rev., 1992, D46: R323711. Clark T E, Nitta M, Veldhuis T T. Phys. Rev., 2004, D70:12501112. Mezincescu L, Nepomechie R I. Phys. Rev., 1988, D37:306713. Glosh S, Mitra P. Phys. Rev., 1991, D44: 133214. Bellucci S, Golterman M F L, Petcher D N. Nucl. Phys.,1989, B326: 30715. Harada K. Phys. Rev. Lett., 1990, 64: 13916. Frishiman Y, Sonnenschein J. Nucl. Phys., 1988, B301:34617 MIAO Yan-Gang.Acta Phys.Sin.,1993, 42: 53618 WANG Jing, HUANG Yong-Chang. HEP NP, 2004,28:17(in Chinese)(王晶,黄永畅.高能物理与核物理,2004, 28:17)

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LIAO Ling and HUANG Yong-Chang. Faddeev-Jackiw Quantization of the Gauge Invariant Self-Dual Fields Relative to String Theory[J]. Chinese Physics C, 2006, 30(3): 191-195.

LIAO Ling and HUANG Yong-Chang. Faddeev-Jackiw Quantization of the Gauge Invariant Self-Dual Fields Relative to String Theory[J]. Chinese Physics C, 2006, 30(3): 191-195. shu

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Received: 2005-05-14
Revised: 1900-01-01

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Faddeev-Jackiw Quantization of the Gauge Invariant Self-Dual Fields Relative to String Theory

LIAO Ling
HUANG Yong-Chang ^,

Corresponding author: HUANG Yong-Chang,

Institute of Theoretical Physics, College of Applied Mathematics and Physics, Beijing University of Technology, Beijing 100022, China2 CCAST World Lab., Beijing 100080, China

Received Date: 2005-05-14
Accepted Date: 1900-01-01
Available Online: 2006-03-05

Abstract: A new symplectic Lagrangian density and Faddeev-Jackiw (FJ) generalized brackets of the gauge invariant self-dual fields interacting with gauge fields have been obtained and FJ quantization of this system has been presented. Furthermore, the FJ method is compared with Dirac method and the results indicate that the two methods are equivalent in the quantization of this system. After analizing, it can be found in this paper that the FJ method is really simpler than the Dirac method, namely, the FJ method obviates the need to distinguish primary and secondary constraints and the first- and the second-class constraints. Therefore, the FJ method is a more economical and effective method of quantization.