We discuss the construction of toric Kähler metrics on symplectic 2n-manifolds with hamiltonian n-torus action and present a simple derivation of the Guillemin formula for a distinguished Kähler metric on any such manifold. the results also apply to orbifolds.
"The Guillemin formula and Kähler metrics on toric symplectic manifolds." J. Symplectic Geom. 1 (4) 767 - 784, March, 2003.