论文标题
Yang-Mills Gauss Law和在尺寸2 Gluon冷凝物存在下的重夸克结合能
Yang-Mills Gauss law and the heavy quark binding energy in the presence of a dimension-2 gluon condensate
论文作者
论文摘要
我们使用一阶路径积分形式主义研究了重型夸克式的（$ q \ bar {q} $）的结合能。这使得杨麦尔斯的约束方程明确，并突出显示其有效而不依赖于半经典近似。选择了广义量规库仑量表，以使染色场分解为横向和纵向部分的量规概括。这种分解清楚地表明，$ q \ bar {q} $绑定能量仅由对约束方程的解决方案确定。假设低能量物理学是由尺寸-2 Gluon凝结物的存在所支配的，那么我们为约束方程开发了渐近级数解决方案，从而为$ q \ bar {q} $ binding Energy开发了一个渐近的串联解决方案。我们预测QCD弦张力在凝聚力强度和二次Casimir特征值方面，并将我们的结果与来自OPE分析的结果相关联。
We study the binding energy of a heavy quark-antiquark ($q\bar{q}$) pair using the first-order path integral formalism. This makes the Yang-Mills constraint equation explicit, and highlights that it is valid without relying on a semiclassical approximation. A generalized gauge-covariant Coulomb gauge is chosen to allow for a decomposition of the chromoelectric field into a gauge-covariant generalization of transverse and longitudinal parts. This decomposition makes it clear that the $q\bar{q}$ binding energy is determined solely by the solution to the constraint equation. Assuming that the low-energy physics is dominated by the existence of a dimension-2 gluon condensate, we develop an asymptotic series solution to the constraint equation and thus to the $q\bar{q}$ binding energy. We predict a QCD string tension in terms of the condensate strength and quadratic Casimir eigenvalues, and relate our result to results coming from OPE analyses.
