## Quenched mesonic spectrum at large N

Research output: Contribution to journalArticle

### Documents

http://iopscience.iop.org/1126-6708/2008/03/062/
Original language English 19 Journal of High Energy Physics 2008 03 10.1088/1126-6708/2008/03/062 Published - 18 Dec 2007

### 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.

### Research areas

• hep-th, hep-lat, hep-ph, Spontaneous Symmetry Breaking, 1/N Expansion, Lattice Gauge Field Theories

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