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We consider the spin glass model in which the number of spin components, m,is infinite. In the formulation of the problem appropriate for numericalcalculations proposed by several authors, we show that the order parameterdefined by the long-distance limit of the correlation functions is actuallyzero and there is only "quasi long range order" below the transitiontemperature. We also show that the spin glass transition temperature is zero inthree dimensions.Comment: 9 pages, 13 figure

Spin glasses in the limit of an infinite number of spin components