Y. Kwon et C. Song, EXPLICIT QUANTIZATION OF ANYON SUPERCONDUCTIVITY LAGRANGIAN, Nuovo cimento della Societa italiana di fisica. B, Relativity, classical and statistical physics, 111(2), 1996, pp. 255-263
The explicit quantization of the Lagrangian describing anyon super con
ductivity is performed using the Dirac-Bergmann method. At first, it i
s pointed out that it is not possible to choose the gauge-fixing condi
tion a(0) = 0 (with the Coulomb gauge). Secondly, the canonical commut
ation relations between operators are obtained. Thirdly, the correct e
ffective Hamiltonian is derived. Also, the spontaneous projectivation
is discussed. Finally, it is shown that by solving the constraints, th
e Meissner effect is obtained.