Do Instantons of the CP(N-1) Model Melt?

Details Do Instantons of the CP(N-1) Model Melt? Do Instantons of the CP(N-1) Model Melt?

2000-06-05

arxiv.org/abs/hep-lat/0006006v2

Physics

High Energy Physics

High Energy Physics - Lattice

9 pages, 1 figure, LaTeX, Proceedings of the International Workshop on Nonperturbative Methods and Lattice QCD, Guangzhou; min

Scientific paper

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.

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