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.

9 pages, 1 figure, LaTeX, Proceedings of the International Workshop on Nonperturbative Methods and Lattice QCD, Guangzhou; minor stylistic changes, title changed

References in corpus (1)

• Twist-4 contribution to unpolarized structure functions F_L and F_2 from instantons

Cited by in corpus (1)

• Neutral bions in the $\mathbb{C}{P}^{N-1}$ model