Refining the Proof of Planar Equivalence

Abstract

We outline a full non-perturbative proof of planar (large-N) equivalence between bosonic correlators in a theory with Majorana fermions in the adjoint representation and one with Dirac fermions in the two-index (anti)symmetric representation. In a particular case (one flavor), this reduces to our previous result - planar equivalence between super-Yang--Mills theory and a non-supersymmetric ``orientifold field theory.'' The latter theory becomes one-flavor massless QCD at N=3.

15 pages, Latex. 6 figures. v2: Comments and refs. added. v3: ref.[9] corrected. To appear in Phys.Rev.D

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