Z3晶格规理论的相关等式和一些意味着威尔逊环面积衰减的耦合常数上限

Physica Scripta Pub Date : 2024-07-24 DOI:10.1088/1402-4896/ad671e

A. Mota, Francisco César Sá Barreto

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摘要

我们获得了 $Z_3$ 格规理论的相关等式，在这种理论中，格子的键是由广义三态伊辛变量装饰的。利用相关不等式，我们得到了威尔逊环观测值在耦合参数范围内的面积衰减的严格边界，其范围大于从均值场理论考虑得到的范围。

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Correlation equalities and some upper bounds for the coupling constant implying area decay of Wilson loop for Z3 lattice gauge theories

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

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Physica Scripta

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