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Abstract:
Based on the Faddeev formalism of path - integral quantization for constrained Hamiltonian system, we reexammine the quantization of Maxwell Chern-Simons field, and use the Plana summation formula in the theory of conplex variable function, the Casimir effect belween two parallel lines in the (2+1 ) - dimensional space -time has been calculated, in which we do not use any cutoff of parameter; the finite analytical expression is also obtained.
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