Exact fixed point for directed random walks

Rajasekaran, J. J. ; Bhattacharjee, S. M. (1991) Exact fixed point for directed random walks Journal of Physics A: Mathematical and General, 24 (7). L371-L375. ISSN 0305-4470

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Official URL: http://iopscience.iop.org/0305-4470/24/7/010/

Related URL: http://dx.doi.org/10.1088/0305-4470/24/7/010


The authors have shown that the renormalization group fixed point for mutually avoiding directed random walks in (d+1) dimensions is exactly 2 pi in where in =2-d, with no higher order terms in in . Since the whole calculation can be carried out to all orders exactly, the model is also significant from a pedagogical point of view.

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