Renormalization of Dyson's Hierarchical Vector Valued φ Model at Low Temperatures
نویسندگان
چکیده
We investigate Dyson's hierarchical vector valued φ model at low temperatures. The case 2>c> j/2is considered. The pure phase is constructed, and the existence of its large scale limit is proved. The limit is Gaussian, but an unusual normalization has to be chosen. In the direction of the spontaneous magnetization one has to divide by the square root of the volume, but in the orthogonal direction one has to divide by a different power of the volume for all low temperatures.
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