On the magnetic perturbation of the Ising model on the sphere
P. Grinza, N. Magnoli
TL;DR
This paper extends Zamolodchikov's analysis to the Ising model in a magnetic field on a sphere, using numerical methods to study the partition function and VEV, suggesting it is an entire function of the coupling.
Contribution
It applies the truncated conformal space approach to analyze the Ising model in a magnetic field on a sphere, extending previous work on the Yang-Lee model.
Findings
Partition function appears to be an entire function of the coupling constant
Numerical results support the extension of Zamolodchikov's analysis
Vacuum expectation values are computed and analyzed
Abstract
In this letter we will extend the analysis given by Al. Zamolodchikov for the scaling Yang-Lee model on the sphere to the Ising model in a magnetic field. A numerical study of the partition function and of the vacuum expectation values (VEV) is done by using the truncated conformal space (TCS) approach. Our results strongly suggest that the partition function is an entire function of the coupling constant.
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