A numerical investigation of orientifold planar equivalence for quenched mesons

Understand

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.