Description of the dynamics of a random chain with rigid constraints in the path integral framework

Abstract

In this work we discuss the dynamics of a three dimensional chain which is described by generalized nonlinear sigma model The formula of the probability distribution of two topologically entangled chain is provided. The interesting case of a chain which can form only discrete angles with respect to the $z-$axis is also presented.

arXiv comment4 pages. To appear in the proceedings of `Path Integrals - New Trends and Perspectives`, 23-28 September 2007, Dresden, Germany