N>3时的薛定谔泛函边界条件及其改进
Schrödinger functional boundary conditions and improvement for N>3
摘要：
非微扰计算SU（N）规范理论运行耦合演化的标准方法是基于薛定谔泛函（SF）。在本文中，我们构造了一个家庭的边界场的一般值的N进入SF耦合的标准定义。我们提供了空间边界条件费米子在几个表示减少平方狄拉克算子的条件数。此外，我们计算了N>3时从规范作用量中去除边界截止效应所需的O（a）改进系数。在此之后，残余截止效应的步骤标度函数被证明是非常小的，即使考虑非基本的表示。我们还计算了MS-bar和SF格式之间的Lambda参数的比值。
英文摘要：
The standard method to calculate non-perturbatively the evolution of the running coupling of a SU(N) gauge theory is based on the Schrödinger functional (SF). In this paper we construct a family of boundary fields for general values of N which enter the standard definition of the SF coupling. We provide spatial boundary conditions for fermions in several representations which reduce the condition number of the squared Dirac operator. In addition, we calculate the O(a) improvement coefficients for N>3 needed to remove boundary cutoff effects from the gauge action. After this, residual cutoff effects on the step scaling function are shown to be very small even when considering non-fundamental representations. We also calculate the ratio of Lambda parameters between the MS-bar and SF schemes.
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