Correlation equalities and upper bounds for the transverse Ising model
F. S. S\'a Barreto, A. L. Mota
TL;DR
This paper derives rigorous upper bounds for the critical parameters of the transverse Ising model using correlation inequalities, improving upon previous estimates.
Contribution
It introduces new rigorous upper bounds for the critical temperature and transverse field of the transverse Ising model based on an exact formal identity.
Findings
Improved upper bounds for critical temperature
Enhanced bounds for critical transverse field
Utilization of correlation inequalities for rigorous results
Abstract
Starting from an exact formal identity for the two-state transverse Ising model and using correlation inequalities rigorous upper bounds for the critical temperature and the critical transverse field are obtained which improve effective results.
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