标题： 相关等式和一些关于耦合常数的上界，这些上界暗示了$Z_3$格点规范理论中威尔逊环的面积衰减 显示英文标题

标题： Correlations equalities and some upper bounds for the coupling constant implying area decay of Wilson loop for $Z_3$ lattice gauge theories

摘要： 关联恒等式被获得用于$Z_3$规范场论，其中平面的键由广义三态伊辛变量装饰。 利用关联不等式，我们在耦合参数范围大于从平均场理论考虑得到的范围内获得了威尔逊环观测量的面积衰减。 显示英文摘要

摘要： Correlation identities are obtained for $Z_3$ lattice gauge theory where the bonds of the plaquettes are decorated by generalized three-state Ising variables. Making use of correlation inequalities we obtain the area decay of the Wilson loop observable in a range of the coupling parameter larger than those obtained from mean field theory considerations.