论文标题
在平面极限内限制弦,轴和胶球
Confining strings, axions and glueballs in the planar limit
论文作者
论文摘要
我们介绍了有关在空间圆环周围封闭的限制通量管的频谱的最新结果,其长度以及胶球的频谱的函数。通过模拟四个维度$ SU(N)$量表理论并使用晶格技术进行测量,可以实现光谱的提取。关于通量管,我们对$ n = 3,5,6 $的计算以及各种自旋,平价和纵向动量的计算。长通量管可以被认为是无限薄的弦。因此,预期它们的频谱将通过有效的弦理论描述。此外,除字符串模式外,磁管的内部结构使得有可能存在大规模状态。我们的计算表明,尽管大多数状态表现出可以通过Nambu-Goto充分近似的频谱,但有强有力的证据表明在QCD通量管的世界表上存在巨大的轴法以及两个这样的轴的界面状态。关于胶球,我们从$ n = 2 $到$ n = 12 $提取了光谱,这使我们能够推断到$ n = \ infty $。我们的主要目的是计算自旋,平价和电荷共轭量子数的所有不同配置的最轻的胶球质量。这提供了有关平面限制中胶球频谱的重大更新。
We present recent results on the spectrum of a confining flux tube that is closed around a spatial torus as a function of its length as well as the spectrum of glueballs. The extraction of the spectra has been realized by simulating four dimensional $SU(N)$ gauge theories and performing measurements using lattice techniques. Regarding flux-tubes, we have performed calculations for $N=3,5,6$ and for various values of spin, parity and longitudinal momentum. Long flux-tubes can be thought of as infinitesimally thin strings; hence their spectrum is expected to be described by an effective string theory. Furthermore, the flux-tube's internal structure makes possible the existence of massive states in addition to string modes. Our calculations demonstrate that although most states exhibit a spectrum which can be approximated adequately by Nambu-Goto there is strong evidence for the existence of a massive axion on the world-sheet of the QCD flux-tube as well as a bound state of two such axions. Regarding glueballs, we extracted spectra from $N=2$ to $N=12$ which enables us to extrapolate to $N= \infty$. Our main aim was to calculate the lightest glueball masses for all different configurations of the quantum numbers of spin, parity and charge conjugation. This provides a major update on the spectrum of glueballs in the planar limit.