We discuss the application of an extended version of the coupled cluster me
thod to systems exhibiting a quantum phase transition. We use thr lattice O
(4) nonlinear sigma model in (1 + 1) and (3 + 1) dimensions as an example.
We show how simple predictions get modified, leading to the absence of a ph
ase transition in (1 + 1) dimensions, and strong indications for a phase tr
ansition in (3 + 1) dimensions.