Fermionic field theory for directed percolation in (1+1) dimensions
Statistical Mechanics
2009-10-31 v1
Abstract
We formulate directed percolation in (1+1) dimensions in the language of a reaction-diffusion process with exclusion taking place in one space dimension. We map the master equation that describes the dynamics of the system onto a quantum spin chain problem. From there we build an interacting fermionic field theory of a new type. We study the resulting theory using renormalization group techniques. This yields numerical estimates for the critical exponents and provides a new alternative analytic systematic procedure to study low-dimensional directed percolation.
Cite
@article{arxiv.cond-mat/9911095,
title = {Fermionic field theory for directed percolation in (1+1) dimensions},
author = {V. Brunel and K. Oerding and F. van Wijland},
journal= {arXiv preprint arXiv:cond-mat/9911095},
year = {2009}
}
Comments
20 pages, 2 figures