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Comparing the Lee-Yang gap with the mass gap in the sub-critical planar Ising model

Borgnia, Noam et al.
arXiv (All) · Papers
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mathematical-physicsprobabilitystatistical-mechanics
We prove that the subcritical mass gap is comparable to the Lee-Yang gap over free-boundary square boxes raised to the power $8/15$. Random-current moment bounds, a correlation inequality and a finite block expansion give the upper bound. The lower bound follows from the Lee-Yang product, the suscep
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