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Improved Faddeev-Jackiw quantization of the electromagnetic field and Lagrange multiplier fields
Authors:YANG Jin-Long  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.
Keywords:Faddeev-Jakiw method  constraint  quantization  electromagnetic field  Lagrange multiplier
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