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Random Walk with a Boundary Line as a Free Massive Boson with a Defect Line

High Energy Physics - Theory 2008-11-26 v1 Condensed Matter

Abstract

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 SS--matrix and Form Factor techniques.

Keywords

Cite

@article{arxiv.hep-th/9508130,
  title  = {Random Walk with a Boundary Line as a Free Massive Boson with a Defect Line},
  author = {A. Valleriani},
  journal= {arXiv preprint arXiv:hep-th/9508130},
  year   = {2008}
}

Comments

17 pages, Latex, 3 figures included