A numerical investigation of orientifold planar equivalence for quenched mesons

Abstract

We measure on the lattice the quenched pseudoscalar and vector meson masses at a fixed value of the lattice spacing for SU(N) gauge theory with fermions in the adjoint, in the symmetric and in the antisymmetric representations of the gauge group. Simulations are performed for N=3,4,6 in all those representations, with the addition of N=2 for the adjoint representation. We illustrate a strategy for separating the even from the odd-power contributions in 1/N in the masses. Using this technique, we extrapolate the vector mass to the large-N limit in the chiral region and show that at N = infty this mass is the same within errors in all the three representations, as predicted by orientifold planar equivalence. Possible implications of our investigation for studying orientifold planar equivalence in the dynamical case are discussed.

arXiv comment8 pages, 5 EPS figures

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Cited by in corpus (6)

• SU(N_c) gauge theories at deconfinement
• Introductory lectures to large-N QCD phenomenology and lattice results
• Spin contribution to light baryons in different large-$N$ limits
• Recent results in large-N lattice gauge theories
• Spectrum of QCD with one flavor: A window for supersymmetric dynamics
• Meson spectrum in SU(N) gauge theories with quarks in higher representations: A check of Casimir scaling hypothesis