Understanding high-T-c cuprates based on the phase string theory of doped antiferromagnet

We present a self-consistent RVB theory which unifies the metallic (superco nducting) phase with the half-filling antiferromagnetic (AF) phase. Two cru cial factors in this theory include the RVB condensation which controls sho rt-range AF spin correlations and the phase string effect introduced by hol e hopping as a key doping effect. Mb discuss both the uniform and non-unifo rm mean-field solutions and show the unique features of the characteristic spin energy scale, superconducting transition temperature, and the phase di agram, which are all consistent with the experimental measurements of high- T-c cuprates.