Orientifold Planar Equivalence: The Quenched Meson Spectrum

TL;DR

This study numerically tests Orientifold Planar Equivalence in SU(N) Yang-Mills theories by comparing quenched meson spectra across different N values, confirming theoretical predictions and analyzing correction sizes.

Contribution

It provides the first detailed numerical verification of Orientifold Planar Equivalence for N=2,3,4,6 in quenched meson spectra, including correction estimates.

Findings

Numerical results agree within errors across N=2,3,4,6.

Extrapolation of vector mass matches large-N predictions.

Quantified size of 1/N^3 corrections.

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 channels. 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 Orientifold 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.