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Random walk with a boundary line as a free massive boson with a defect line

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Citation

Valleriani, A. (1996). Random walk with a boundary line as a free massive boson with a defect line. Journal of Physics A: Mathematical and General, 29(16), 4885-4893. doi:10.1088/0305-4470/29/16/014.


Cite as: https://hdl.handle.net/11858/00-001M-0000-0028-5384-F
Abstract
We show that the problem of a random walk with a boundary attractive potential may be mapped onto the free massive bosonic quantum field theory with a defect line. This mapping allows us to recover the statistical properties of random walks by using boundary S-matrix and form factor techniques.