A. Valleriani, RANDOM-WALK WITH A BOUNDARY LINE AS A FREE MASSIVE BOSON WITH A DEFECT LINE, Journal of physics. A, mathematical and general, 29(16), 1996, pp. 4885-4893
We show that the problem of a random walk with a boundary attractive p
otential may be mapped onto the free massive bosonic quantum field the
ory with a defect line. This mapping allows us to recover the statisti
cal properties of random walks by using boundary S-matrix and form fac
tor techniques.