Al. Kholodenko et Ta. Vilgis, PATH-INTEGRAL CALCULATION OF THE WRITHE FOR CIRCULAR SEMIFLEXIBLE POLYMERS, Journal of physics. A, mathematical and general, 29(5), 1996, pp. 939-948
Earlier obtained numerical and analytical (non-path-integral) results
for the writhe of a circular polymer are reproduced exactly employing
the available path integral models for the semiflexible chains. It is
confirmed analytically that the average writhe scales with the root of
the chain length. We also briefly discuss related topological problem
s (e.g. knotting of circular polymers), which could be formulated and
solved with the use of path integrals.