Random Walks with Long-Range Self-Repulsion on Proper Time
High Energy Physics - Lattice
2015-06-25 v1
Abstract
We introduce a model of self-repelling random walks where the short-range interaction between two elements of the chain decreases as a power of the difference in proper time. Analytic results on the exponent are obtained. They are in good agreement with Monte Carlo simulations in two dimensions. A numerical study of the scaling functions and of the efficiency of the algorithm is also presented.
Cite
@article{arxiv.hep-lat/9211013,
title = {Random Walks with Long-Range Self-Repulsion on Proper Time},
author = {S. Caracciolo and G. Parisi and A. Pelissetto},
journal= {arXiv preprint arXiv:hep-lat/9211013},
year = {2015}
}
Comments
25 pages latex, 4 postscript figures, uses epsf.sty (all included) IFUP-Th 13/92 and SNS 14/92