Gluon Correlation Moments Ratio in the Instanton Field

As it is known, Yang-Mills gauge theories have highly degenerated vacuum structure on the classical level [1]. Quantum tunnelling transitions between different vacuum states are associated with instantons [2]. Experimental search of the QCD-instantons goes already at HERA (DESY, Hamburg) in electron-proton deep inelastic scattering [3]. There are following theoretically predicted features of instanton canal of multiple production: high parton multiplicity (about 10 ÷ 20 at HERA [3,4]); isotopically parton distribution in the instanton rest system and homogeneous quarks flavours distribution [5]; specific behaviour of total cross section [4] and two-particle correlation function [6]. Here we study the behaviour of ratio of correlation moments Hq = Kq/Fq [7] as the new criterions of instanton identification. Here Fq, Kq and Hq are factorial, cumulant and co-called Hq-moments correspondingly. Correlation moments ratio Hq is more precise quantity for distinguishing of multiplicity distribution [7]. In quasiclassical approximation Poisson distribution for the probability of n gluon production was obtained for the instanton-induced multigluon final states [3,8]. In this case we have the trivial results: G(z) = e, Fq = 1, Kq = δq1, H1 = δq1.