  We study a chiral spin liquid wave function defined as a Gutwziller projected
BCS state with a complex pairing function. After projection, spontaneous
dimerization is found for any odd but finite number of chains, thus satisfying
the Lieb-Schultz-Mattis theorem, whereas for even number of chains there is no
dimerization. The two-dimensional thermodynamic limit is consistently reached
for large number of chains since the dimer order parameter vanishes in this
limit. This property clearly supports the possibility of a spin liquid ground
state in two dimensions with a gap to all {\em physical} excitations and with
no broken translation symmetry.
