Orientifold Planar Equivalence: The Quenched Meson Spectrum

Abstract

A numerical study of Orientifold Planar Equivalence is performed in SU(N) Yang-Mills theories for N = 2, 3, 4, 6. Quenched meson masses are extracted in the antisymmetric, symmetric and adjoint representations for the pseudoscalar and vector ch annels. An extrapolation of the vector mass as a function of the pseudoscalar mass to the large-N limit shows that the numerical results agree within errors for the three theories, as predicted by O rientifold Planar Equivalence. As a byproduct of the extrapolation, the size of the corrections up to O(1/N 3 ) are evaluated. A crucial prerequisite for the extrapolation is the determination of an analytical relationship between the corrections in the symmetric and in the antisymmetric representations, order by order in a 1/N expansion.