论文标题
评论1+1d QCD，夸张夸克
Comments on 1+1d QCD with heavy adjoint quarks
论文作者
论文摘要
在本文中，我们确定弱耦合的非相关性$ n $ n $schrödinger方程，该方程描述了带有重型夸克的二维伴随$ qCD $的低洼颜色单线绑定状态。在三个伴随夸克的情况下，我们表明三体方程将等效地等效到schrödinger方程，该方程描述了平面角扇区中电场中的点电偶极子。我们猜想三体问题是可以解决的。本征态是根据三弦的heun功能给出的。我们的猜想意味着三个隔离夸克的结合状态由限制在二维Cornell电势的粒子描述。我们希望$ n $ - 帕顿问题也可以以类似的方式解决。
In this paper, we determine at weak coupling the non-relativistic $n$-body Schrödinger equation that describes the low-lying color singlet bound states of two dimensional adjoint $QCD$ with heavy quarks. In the case of three adjoint quarks, we show that the three-body equation reduces equivalently to the Schrödinger equation that describes a point electric dipole in an electric field in a plane angular sector. We conjecture that the three-body problem is solvable. The eigenstates are given in terms of the triconfluent Heun functions. Our conjecture implies that a bound state of three adjoint quarks is described by a particle confined in a two dimensional Cornell potential. We expect the $n$-parton problem also to be solvable in a similar fashion.
