Random Walk with a Boundary Line as a Free Massive Boson with a Defect Line
classification
✦ hep-th
cond-mat
keywords
boundarylinerandomdefectfreemassivewalkattractive
read the original 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 $S$--matrix and Form Factor techniques.
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