FERMI-BOSE TRANSMUTATION - FROM SEMIFLEXIBLE POLYMERS TO SUPERSTRINGS

It is demonstrated that all known results for the conformational properties of semiflexible polymers can be reproduced exactly with the help of a Euclidean version of Dirac's propagator. Obtained single chain results are further generalized to the case of monodisperse solutions of semiflexible polymers. Flory's results for this case are reproduced exactly at the mean field saddle point level of approximation to the functional integral which is a direct extension of the results proposed earlier for the fully flexible chains. A new purely geometrical derivation of the path integral for the Dirac's propagator describing semiflexible polymer chains is presented and subsequently generalized to the case of semiflexible surfaces. This generalization indicates that statistical properties of semiflexible surfaces are being described by the heterotic superstring of the type conjectured by Polyakov. © 1990.