Random Walk with a Boundary Line as a Free Massive Boson with a Defect Line
Abstract
Description
We show that the problem of Random Walk with boundary attractive potential may be mapped onto the free massive bosonic Quantum Field Theory with a line of defect. This mapping permits to recover the statistical properties of the Random Walks by using boundary $S$--matrix and Form Factor techniques.
17 pages, Latex, 3 figures included
17 pages, Latex, 3 figures included