ar X iv : h ep - t h / 97 11 10 3 v 1 1 4 N ov 1 99 7 Multi - spin correlation functions for the Z - Invariant Ising model

X iv : h ep - t h / 97 11 10 3 v 2 1 5 N ov 1 99 7 Multi - spin correlation functions for the Z - Invariant Ising model

Continuing our work [12], where a explicit formula for the two-point functions of the two dimensional Z-invariant Ising model were found. I obtain here different results for the higher correlation functions and several consistency checks are done.

ar X iv : h ep - t h / 96 09 13 5 v 2 1 1 M ay 1 99 7 Correlation functions for the Z - Invariant Ising model

The correlation functions of the Z-invariant Ising model are calculated explicitely using the Vertex Operators language developed by the Kyoto school.

ar X iv : h ep - p h / 97 11 22 6 v 1 4 N ov 1 99 7 Instantons and Polarized Structure Functions

The contribution of the quark-quark and quark-gluon interaction induced by instantons to the valence quark and proton spin-dependent structure functions g 1 (x, Q 2) is estimated within the instanton liquid model for QCD vacuum. It is shown, that this interaction leads to a rather large violation of the Ellis-Jaffe sum rule.

ar X iv : h ep - e x / 97 11 02 0 v 1 2 6 N ov 1 99 7 CLNS 97 / 1521

ar X iv : h ep - l at / 9 40 80 11 v 1 1 6 A ug 1 99 4 Tricritical Phenomena in a Z ( 3 ) Lattice Gauge Theory

The Z(3) gauge model with double plaquette representation of the action on a generalized Bethe lattice of plaquettes is constructed. It is reduced to the spin-1 Blume-Emery-Griffiths (BEG) model. An Ising-type critical line of a second-order phase transition ending in the tricritical point is found.