Scaling and density of Lee-Yang zeros in the four-dimensional Ising model

R. Kenna, C. B. Lang
1994 Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics  
The scaling behaviour of the edge of the Lee--Yang zeroes in the four dimensional Ising model is analyzed. This model is believed to belong to the same universality class as the ϕ^4_4 model which plays a central role in relativistic quantum field theory. While in the thermodynamic limit the scaling of the Yang--Lee edge is not modified by multiplicative logarithmic corrections, such corrections are manifest in the corresponding finite--size formulae. The asymptotic form for the density of
more » ... which recovers the scaling behaviour of the susceptibility and the specific heat in the thermodynamic limit is found to exhibit logarithmic corrections too. The density of zeroes for a finite--size system is examined both analytically and numerically.
doi:10.1103/physreve.49.5012 pmid:9961822 fatcat:5oyrfk272vgtrn34pxe4voygvq