# Improved Faddeev-Jackiw quantization of the electromagnetic field and Lagrange multiplier fields

• We use the improved Faddeev-Jackiw quantization method to quantize the electromagnetic field and its Lagrange multiplier fields. The method's comparison with the usual Faddeev-Jackiw method and the Dirac method is given. We show that this method is equivalent to the Dirac method and also retains all the merits of the usual Faddeev-Jackiw method. Moreover, it is simpler than the usual one if one needs to obtain new secondary constraints. Therefore, the improved Faddeev-Jackiw method is essential. Meanwhile, we find the new meaning of the Lagrange multipliers and explain the Faddeev-Jackiw generalized brackets concerning the Lagrange multipliers.

•  [1] . Henneaux M, Teitelboim C. Quantization of Gauge Sys-tems. New Jersey: Princeton University Press, 19922. LI Z P, JIANG J H. Symmetries in Constrained Canonical Systems. New York: Science Press, 20023. Dirac P A M. Lectures on Quantum Mechanics. New York:Yeshiva University Press, 19644. Floreanini R, Jackiw R. Phys. Rev. Lett., 1987, 59: 18735. Faddeev L, Jackiw R. Phys. Rev. Lett., 1988, 60: 16926. Barcelos-Neto J, Wotzasek C. Mod. Phys. Lett. A, 1992, 7:17377. Barcelos-Neto J, Wotzasek C. Int. J. Mod. Phys. A, 1992,7: 49818. Montani H,Wotzasek C. Mod. Phys. Lett. A, 1993, 8: 33879. LIAO Leng, HUANG Yong-Chang. Physical Review D,2007, 75: 02502510. Costa M E V, Girotti H O. Phys. Rev. Lett., 1988, 60:177111. Cavaerts J. Int. J. Mod. Phys. A, 1990, 5: 362512. Garcia J A, Pons J M. Int. J. Mod. Phys. A, 1997, 12: 45113. LIAO Leng, HUANG Yong-Chang. Annals of Physics,2007, 322: 246914. Wotzasek C. Mod. Phys. Lett. A, 1993, 8: 250915. Anderson J L, Bergmann P G. Phys. Rev., 1951, 83: 101816. Bergmann P G, Goldberg J. Phys. Rev., 1955, 98: 53117. HUANG Yong-Chang, YU Cheng-Xin. Phys. Rev. D, 2007,75: 04401118. YU Cheng-Xin, HUANG Yong-Chang. Phys. Lett. B, 2007,647: 4919. HUANG Yong-Chang, LIN Bo-Liang. Phys. Lett. A, 2002,299: 644

Get Citation
YANG Jin-Long and HUANG Yong-Chang. Improved Faddeev-Jackiw quantization of the electromagnetic field and Lagrange multiplier fields[J]. Chinese Physics C, 2008, 32(10): 788-792. doi: 10.1088/1674-1137/32/10/004
YANG Jin-Long and HUANG Yong-Chang. Improved Faddeev-Jackiw quantization of the electromagnetic field and Lagrange multiplier fields[J]. Chinese Physics C, 2008, 32(10): 788-792.
Milestone
Revised: 2008-04-04
Article Metric

Article Views(3665)
Cited by(0)
Policy on re-use
To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.
###### 通讯作者: 陈斌, bchen63@163.com
• 1.

沈阳化工大学材料科学与工程学院 沈阳 110142

Title:
Email:

## Improved Faddeev-Jackiw quantization of the electromagnetic field and Lagrange multiplier fields

###### Corresponding author: HUANG Yong-Chang,

Abstract:

We use the improved Faddeev-Jackiw quantization method to quantize the electromagnetic field and its Lagrange multiplier fields. The method's comparison with the usual Faddeev-Jackiw method and the Dirac method is given. We show that this method is equivalent to the Dirac method and also retains all the merits of the usual Faddeev-Jackiw method. Moreover, it is simpler than the usual one if one needs to obtain new secondary constraints. Therefore, the improved Faddeev-Jackiw method is essential. Meanwhile, we find the new meaning of the Lagrange multipliers and explain the Faddeev-Jackiw generalized brackets concerning the Lagrange multipliers.

Reference (1)

/