Abstract
We present a coherent gauge-theoretical interpretation of various possible separation phenomena of strongly-correlated electron systems. The typical examples are (i) charge-spin separation (CSS) in the t-J model of high-Tc superconductivity, and (ii) particle-flux separation (PFS) in the quantum Hall effect atv=1/2. By introducing auxiliary gauge fields, we map the system into an effective U(1) lattice gauge theory. It exhibits a confinement-deconfinement (CD) phase transition atT CD . AtT>T CD , the system is in a confinement phase and the electrons themselves are quasiparticles. AtT<T CD , the system is in a deconfinement phase and each constituent degrees of freedoms of electrons (holons and spinons in CSS and composite fermions and fluxes in PFS) are liberated and become independent quasiparticles.
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