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

TL;DR

This paper tests the large-N equivalence between supersymmetric Yang-Mills theory and one-flavor QCD by examining meson mass degeneracy caused by double-hairpin diagrams using lattice calculations and models.

Contribution

It provides the first lattice-based investigation of double-hairpin effects in quenched QCD to test supersymmetric predictions.

Findings

Meson mass degeneracy observed in lattice calculations

Double-hairpin diagrams cause significant mass shifts

Supports the large-N equivalence hypothesis

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.