Collective Field Theory of Ideal Anyon Gas

概要

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It is shown that the uniform ground state of ideal anyon gas can be constructed in the large-N collective field formalism and the excitation spectrum is given. It indicates that the system has a massless mode. In this treatment we employ a new set of gauge invariant variables to bypass the singularity which inevitably exists in the conventional density-phase variables. We also discuss the system of anyons including the delta function potential. The collective solution corresponding to Jackiw and Pi soliton is constructed.
理論物理学刊行会の論文
1995-06-25