Quenched mesonic spectrum at large N

Details Quenched mesonic spectrum at large N Quenched mesonic spectrum at large N

2007-12-18

arxiv.org/abs/0712.3036v2

JHEP 0803:062,2008

Physics

High Energy Physics

High Energy Physics - Theory

Reference added; typos corrected; version to appear on JHEP

Scientific paper

10.1088/1126-6708/2008/03/062

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.

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