On the coupling constant bounds implying area decay of Wilson loop for Z2 lattice gauge theories with Wilson action Boltzmann factor given by bond variables described by transverse Ising model

TL;DR

This paper derives correlation functions for Z2 lattice gauge theories with bonds modeled by transverse Ising variables, demonstrating area decay of Wilson loops beyond mean field predictions, thus advancing understanding of gauge theory behavior.

Contribution

It introduces a method to compute correlation functions in Z2 lattice gauge theories with transverse Ising bond variables, extending the known coupling range for Wilson loop area decay.

Findings

Correlation functions for the specified lattice gauge theories are obtained.

Area decay of Wilson loops is demonstrated beyond mean field bounds.

The results suggest a broader coupling range where area decay occurs.

Abstract

We obtain correlation functions for lattice gauge theories with action Boltzmann factor given by bond variables described by transverse Ising model and apply them to obtain area decay of the Wilson loop observable in a range of the coupling parameter larger than that obtained from mean field theory considerations.