Abstract
A generalized slave-particle scheme is introduced to the t-J model including the non-local effects. We find a charge-spin decoupled state in which the non-local gauge fields play the roles of statistics-transmutation. As a result, the gauge fluctuation becomes massive and the electromagnetic response function exhibits the Meissner effect, like in the free-semion system, but without breaking the time-reversal and parity symmetries due to the cancellation between charge and spin degrees of freedom in the low-energy, long-wavelength regime. We also calculate the momentum distribution of electrons which shows a characteristic scale equals to the Fermi momentum kf.
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