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

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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.  doi: 10.1088/1674-1137/32/10/004 shu
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Received: 2007-11-26
Revised: 2008-04-04
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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.

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