Computer Science
Schwinger-Dyson equations in reduced, quenched, chiral models
Abstract
It is shown that Schwinger-Dyson equations for the infinite volume U(N) chiral model and the reduced chiral model, quenched according ot Parisi's prescription, agree to leading order in N for all values of the coupling and in any number of dimensions d. The conditions under which these equations can determined a theory uniquely are discussed. It is concluded that the two models are equivalent for d ≤ dc = 2, but not necessarily for d > dd. © 1983.
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