Abstract
We discuss the next-to-leading (but dominant for dimension less than six) corrections to the large-$N$ behavior of the magnetization at the Yang-Lee edge singularity. The $N$ dependence of the corresponding amplitude is valid for all dimensions below six.
Highlights
The role of zeros of the partition function was first pointed out by Yang and Lee.' The location of these zeros in the complex chemical-potential plane, for the case of a fluid, or in the complex magnetic-field plane, in the case of a spin system, plays a crucial role in the onset of phase transitions
The X dependence of the corresponding amplitude is valid for all dimensions below six
For an Ising system, Yang and Lee showed that all of the zeros lie on the imaginary magnetic field H axis and as long as T & T, it is generally believed that they do not come down to h =0
Summary
Myron Bander' and Claude Itzykson Service de Physique Theorique, Centre d'Etudes Nucleai res de Saclay, 91191 Gif sur Yve-tte Cedex, France (Received 16 April 1984). The X dependence of the corresponding amplitude is valid for all dimensions below six
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