  We present a Schwinger-boson approach for the RVB state of the spin-1/2
Heisenberg antiferromagnet on a triangular lattice. It is shown that Gutzwiller
projection of the mean-field state that includes both antiferromagnetic and
ferromagnetic decouplings leads to optimizing the RVB pair amplitudes within a
self-consistent approximation. The resulting state yields, by Monte Carlo
simulations, energies and spin-spin correlations in excellent agreement with
the exact diagonalization result on finite lattices (up to 36 sites). We
conclude that the optimized RVB wavefunction possesses a long-range
three-sublattice order.
