Critical behaviour of an m-vector spin glass for m=∞
- 1 July 1982
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 15 (7) , 2307-2314
- https://doi.org/10.1088/0305-4470/15/7/039
Abstract
A special case of the spin glass model is considered in which the number of spin components m becomes infinitely large. The authors derive a field theory Hamiltonian for this model and show that its upper critical dimensionality is eight. The critical exponents for this theory are calculated in an expansion in epsilon =8-d to second order. They notice that this second-order expansion is identical to that for the p to infinity limit of the Q3 model in epsilon =6-d.Keywords
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