Complex-Field Zeros of the random-energy model

Physics – Condensed Matter – Disordered Systems and Neural Networks

Scientific paper

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10 pages plain TeX + 1 gif figure

Scientific paper

10.1051/jp1:1992141

The complex-field zeros of the Random Energy Model are analytically determined. For TT_c 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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