论文标题
痕量变形的杨米尔斯理论
Spectrum of Trace Deformed Yang-Mills Theories
论文作者
论文摘要
在本文中，我们通过数值模拟研究标量粘合球质量的行为和torelon的基态，用于痕量变形的阳米尔斯理论，在$ \ mathbb {r}^3 \ times s^1 $上定义，即使在小压缩radii下，中心对称性也被恢复。我们发现，通过研究$ su（3）$和$ su（4）$纯表理论，当恢复中心对称性时，在变形理论中计算的粘合球质量与其在零温度下的值兼容，并且对紧缩半径没有任何显着依赖性；此外，我们建立了变形参数与有效的紧凑型大小之间的连接，这至少适合小变形。此外，我们观察到，绕着小的追溯变形的圆圈绕着大小$ l $的圆形圆形的底层状态获得了巨大的强度$ h $的pleateau，其值与$ 1/l $行为兼容，但另一方面，与渐近的半经典大型$ n $预测并不完全一致。
In this paper we study, by means of numerical simulations, the behaviour of the scalar glueball mass and the ground state of the torelon for trace deformed Yang-Mills theory defined on $ \mathbb{R}^3\times S^1$, in which center symmetry is recovered even at small compactification radii. We find, by investigating both $SU(3)$ and $SU(4)$ pure gauge theories, that the glueball mass computed in the deformed theory, when center symmetry is recovered, is compatible with its value at zero temperature and does not show any significant dependence on the compactification radius; moreover, we establish a connection between the deformation parameter and an effective compactification size, which works well at least for small deformations. In addition, we observe that the ground state of the torelon which winds around the small traced deformed circle with size $l$ acquires a pleateau for large values of the strength $h$, with values which are compatible with a $1/l$ behavior but, on the other hand, are still not in complete agreement with the asymptotic semiclassical large-$N$ predictions.
