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  • Luigi Del Debbio; Lucini, Biagio; Patella, Agostino; Pica, Claudio

    arXiv.org, 03/2008
    Paper, Journal Article

    We compute the masses of the \(\pi\) and of the \(\rho\) mesons in the quenched approximation on a lattice with fixed lattice spacing \(a \simeq 0.145 \ \mathrm{fm}\) for SU(\(N\)) gauge theory with \(N = 2,3,4,6\). We find that a simple linear expression in \(1/N^2\) correctly captures the features of the lowest-lying meson states at those values of \(N\). This enables us to extrapolate to \(N = \infty\) the behaviour of \(m_{\pi}\) as a function of the quark mass and of \(m_{\rho}\) as a function of \(m_{\pi}\). Our results for the latter agree within 5% with recent predictions obtained in the AdS/CFT framework.