We develop the hybrid Monte Carlo method for simulations of single off
-lattice polymer chains. We discuss implementation and choice of simul
ation parameters in some detail. The performance of the algorithm is t
ested on models for homopolymers with short- or long-range self-repuls
ion, using chains with 16 less than or equal to N less than or equal t
o 512 monomers. Without excessive fine tuning, we find that the comput
ational cost grows as N-2+z' with 0.64<z'<0.84. In addition, we report
results for the scaling of the end-to-end distance, r(1N)similar to N
-v(1n N)(-alpha).