DESCRIPTION OF THE DYNAMICS OF A RANDOM CHAIN WITH RIGID CONSTRAINTS IN THE PATH-INTEGRAL FRAMEWORK
In this work we discuss the dynamics of a three-dimensional chain. It turns out that the generalized sigma model presented in Ref. 1 may be easily generalized to three dimensions. The formula of the probability distribution of two topologically entangled chains is provided. The interesting case of a chain which can form only discrete angles with respect to the z–axis is also presented.