Complex-Field Zeros of the random-energy model
Abstract
The complex-field zeros of the Random Energy Model are analytically determined. For T<Tc they are distributed in the whole complex plane with a density that decays very fast with the real component of H. For T>Tc a region is found which is free of zeros and is associated to the paramagnetic phase of the system. This region is separated from the former by a line of zeros. The real axis is found to be enclosed in a cloud of zeros in the whole frozen phase of the system.
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