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Double Hairpin Diagrams and the Planar Equivalence of N=1 Supersymmetric Yang-Mills Theory and One-Flavor QCD

Patrick Keith-Hynes, H. B. Thacker

hep-latarXiv:hep-lat/0610045

Abstract

Recent work by Armoni, Shifman, and Veneziano suggests a large-N equivalence between supersymmetric Yang-Mills Theory and one-flavor QCD. One consequence of this "orientifold projection" is that scalar and pseudoscalar mesons in one-flavor QCD should have degenerate mass since they lie within the same Wess-Zumino supermultiplet. We use lattice calculations to investigate the mass shifts caused by "double-hairpin" annihilation diagrams in quenched QCD to test for this degeneracy. Similar quark-antiquark annihilation processes are studied in the 2-dimensional CP(N-1) model with quenched fermions.

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