任意单规范代数的Yang-Mills谱结构
The structure of the Yang-Mills spectrum for arbitrary simple gauge algebras
摘要：
本文讨论了3+1维纯Yang-Mills理论在准胶子图中任意简单规范代数的质量谱。一般结构的低洼gluelump和两个quasigluon胶球谱被证明是共同的所有代数，而最轻的$C=-$三quasigluon胶球只存在时，规范代数是一个$_{r\geq 2}$，即特别是$\mathfrak{su}(N\geq3)$。高位$C=-$胶球只存在于A $_{r\geq2}$，D $_{{\rm odd}-r\geq 4}$和E $_6$规范代数中.还讨论了伴随源之间的静态能量的形状假设卡西米尔标度假设和漏斗形式，它似乎是规范代数依赖时，至少有三个来源被认为是。作为一个主要的结果，本框架的预测被证明是一致的与可用的晶格数据在特定的情况下的$\mathfrak{su}(N)$规范代数内的t Hooft的大$N$限制。
英文摘要：
The mass spectrum of pure Yang-Mills theory in 3+1 dimensions is discussed for an arbitrary simple gauge algebra within a quasigluon picture. The general structure of the low-lying gluelump and two-quasigluon glueball spectrum is shown to be common to all algebras, while the lightest $C=-$ three-quasigluon glueballs only exist when the gauge algebra is A$_{r\geq 2}$, that is in particular $\mathfrak{su}(N\geq3)$. Higher-lying $C=-$ glueballs are shown to exist only for the A$_{r\geq2}$, D$_{{\rm odd}-r\geq 4}$ and E$_6$ gauge algebras. The shape of the static energy between adjoint sources is also discussed assuming the Casimir scaling hypothesis and a funnel form; it appears to be gauge-algebra dependent when at least three sources are considered. As a main result, the present framework's predictions are shown to be consistent with available lattice data in the particular case of an $\mathfrak{su}(N)$ gauge algebra within 't Hooft's large-$N$ limit.
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