Do Instantons of the CP(N-1) Model Melt?
Abstract
In the two-dimensional CP(N-1) model one can parametrize exact many-instanton solutions via N `constituents' (called `zindons'). This parameterization allows, in principle, a complete `melting' of individual instantons. The model is therefore well suited to study whether dynamics prefers a dilute or a strongly overlapping ensemble of instantons. We study the statistical mechanics of instantons both analytically and numerically. We find that at N=2 the instanton system collapses into zero-size instantons. At N=3,4 we find that well-isolated instantons are dynamically preferred though 15-25% of instantons have a considerable overlap with others.
Keywords
Cite
@article{arxiv.hep-lat/0006006,
title = {Do Instantons of the CP(N-1) Model Melt?},
author = {M. Maul and D. Diakonov},
journal= {arXiv preprint arXiv:hep-lat/0006006},
year = {2017}
}
Comments
9 pages, 1 figure, LaTeX, Proceedings of the International Workshop on Nonperturbative Methods and Lattice QCD, Guangzhou; minor stylistic changes, title changed