Ananikian N.S., Dallakian S.K., Izmailian N.Sh. and Oganessyan K.A.

Chaos and three plaquette representation of the gauge theory
N.S. Ananikian, S.K. Dallakian, N.Sh. Izmailian and K.A. Oganessyan
Yerevan Physics Institute

We studied the stochastic properties of vacuum in QCD [1]. Through duality one can connect the three plaquette representation of the gauge theory on generalized Bethe lattice to Ising spin model on Husimi tree [2]. The Frobenius - Peron recursion equation is solved and the density of the invariant measure of the gauge theory is obtained.

1. S.G. Matinyan, G.K. Savvidy, N.G. Ter-Arutunyan-Savvidy, JETP, 80 (1981) 830 .
2. N.S. Ananikian, R.R. Lusiniants, K.A. Oganessyan, JETP Lett., 61 (1995) 496 .