论文标题

晶格上的QCD的大$ n_c $限制

The Large $N_c$ limit of QCD on the lattice

论文作者

Hernández, Pilar, Romero-López, Fernando

论文摘要

我们回顾了从晶格模拟中对规格理论的大型$ N_C限制限制的最新进展。焦点不仅是平面限制,而且是$ {\ mathcal o}(n_c^{ - 1})的大小的大小,$ n_c \ gtrsim 3 $的值。我们包含的主题的一些具体示例是大型测试,$ n_c $分解,拓扑敏感性,粘合球,梅森和巴里昂光谱,质量和衰减常数的手性依赖性以及与$ΔI= 1/2 $在Kaon衰减中的$δi= 1/2 $相关的较弱的矩阵元素。

We review recent progress in the study of the large $N_c$ limit of gauge theories from lattice simulations. The focus is not only the planar limit but also the size of ${\mathcal O}(N_c^{-1})$ corrections for values of $N_c\gtrsim 3$. Some concrete examples of the topics we include are tests of large-$N_c$ factorization, the topological susceptibility, the glueball, meson and baryon spectra, the chiral dependence of masses and decay constants, and weak matrix elements related to the $ΔI=1/2$ rule in kaon decays.

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