大N下的猝灭介子谱
Quenched mesonic spectrum at large N
摘要：
本文用$N = 2,3,4,6$计算了SU（$N$）规范理论在固定格距$a \simeq 0.145 \ \mathrm{fm}$的格点上，在猝灭近似下$π$和$ρ$介子的质量.我们发现，一个简单的线性表达式在$1/N^2$正确地捕捉到的最低的躺在介子状态的特点，在这些值的$N$。这使我们能够将$m_π$的行为作为夸克质量的函数和$m_ρ$的行为作为$m_π$的函数外推到$N = \infty$。我们的结果，后者同意最近的预测在AdS/CFT框架内的5%。
英文摘要：
We compute the masses of the $π$ and of the $ρ$ 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 $m_π$ as a function of the quark mass and of $m_ρ$ as a function of $m_π$. Our results for the latter agree within 5% with recent predictions obtained in the AdS/CFT framework.
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