LU TP 99--27, NORDITA-1999/57 HE, hep-th/9909078
September 1999
On Statistical Mechanics of Instantons in the CP^{N_c-1} Model
D. Diakonov and M. Maul
We introduce an explicit form of the multi-instanton weight including
also instanton--anti-instanton interactions for arbitrary $N_c$ in
the two-dimensional $CP^{N_c-1}$ model. To that end, we use the
parametrization of multi-instantons in terms of instanton `constituents'
which we call `zindons' for short. We study the statistical mechanics of
zindons analytically (by means of the Debye-H\"uckel approximation) and
numerically (running a Metropolis algorithm). Though the zindon
parametrization allows for a complete `melting' of instantons we find that,
through a combination of dynamical and purely geometric factors,
a dominant portion of topological charge is residing in well-separated
instantons and anti-instantons.