J. Phys. I France 2 (1992) 251-261
Analytic determination of the complex field zeros of REMC. Moukarzel and N. Parga
Centro Atómico Bariloche, 8400 S.C. de Bariloche, Río Negro, Argentina
(Received 5 September 1991, accepted in final form 21 November 1991)
The complex field zeros of the Random Energy Model are analytically determined. For they are distributed in the whole complex plane with a density that decays very fast with the real component of H. For 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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