How to Count Kinks: From the Continuum to the Lattice and Back
High Energy Physics - Lattice
2009-10-30 v2 Statistical Mechanics
High Energy Physics - Phenomenology
Pattern Formation and Solitons
patt-sol
Abstract
We investigate the matching between (1+1)-dimensional nonlinear field theories coupled to an external stochastic environment and their lattice simulations. In particular, we focus on how to obtain numerical results which are lattice-spacing independent, and on how to extract the correct effective potential which emerges from the simulations. As an application, we study the thermal production of kink-antikink pairs, obtaining a number density of pairs which is lattice-spacing independent and the effective barrier for pair production, i.e., the effective kink mass.
Keywords
Cite
@article{arxiv.hep-lat/9704005,
title = {How to Count Kinks: From the Continuum to the Lattice and Back},
author = {Marcelo Gleiser and Hans-Reinhard Müller},
journal= {arXiv preprint arXiv:hep-lat/9704005},
year = {2009}
}
Comments
7 pages, 5 PostScript figures, RevTeX. Revised version to appear in Physics Letters B. References and comparison with previous works added