Journal of Statistical Physics, Vol. 65, Nos. 1/2, 1991, p. 291-316.
A new discretized version of the Dirac propagator in d space and one time
dimensions is obtained with the help of the 2d-state, one-dimensional Potts
model. The Euclidean version of this propagator describes all conformational
properties of semiflexible polymers. It also describes all properties of fully
directed self-avoiding walks. The case of semiflexible copolymers composed
of a random sequence of fully flexible and semirigid monomer units is also
considered. As a by-product, some new results for disordered one-dimensional
Ising and Potts models are obtained. In the case of the Potts model the non-
trivial extension of the results to higher dimensions is discussed briefly.