Quenched mesonic spectrum at large N

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

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Abstract

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.
OriginalsprogEngelsk
TidsskriftJournal of High Energy Physics
Vol/bind2008
Udgave nummer3
ISSN1126-6708
DOI
StatusUdgivet - 18. dec. 2007
Udgivet eksterntJa

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