title: Defect energy of infinite-component vector spin glasses.
abstract: We compute numerically the zero-temperature defect energy DeltaE of the vector spin glass in the limit of an infinite number of spin components m , for a range of dimensions 2< or d < or =5 . Fitting to DeltaE approximately L(theta) , where L is the system size, we obtain: theta similar to-1.54 (d=2) , theta similar to-1.04 (d=3) , theta similar to -0.67 (d=4) , and theta similar to -0.37 (d=5) . These results show that the lower critical dimension dl (the dimension where theta changes sign) is significantly higher for m=infinity than for finite m (where 2< dl <3 ).
authors.affiliation: Department of Physics, University of California, Santa Cruz, California 95064, USA.
authors.forename: L W
authors.initials: LW
authors.lastname: Lee
authors.forename: A P
authors.initials: AP
authors.lastname: Young