论文标题

针对本地运营商的新型非扰动重新规范化方案

A novel nonperturbative renormalization scheme for local operators

论文作者

Hasenfratz, Anna, Monahan, Christopher J., Rizik, Matthew D., Shindler, Andrea, Witzel, Oliver

论文摘要

梯度流呈指数级抑制紫外线的波动并去除紫外线的差异(直至乘务波函数重新归一化)。它可用于描述真实空间Wilsonian重新归一化组转换并确定相应的β函数。我们为使用梯度流的局部复合效费运算符提出了一种新的非扰动重新归一化方案,可以适合晶格QCD计算。我们为在该方案中运行Quark双线性操作员的运行提供了初步的非扰动结果,并概述了与MS-BAR方案的扰动匹配的计算。

The gradient flow exponentially suppresses ultraviolet field fluctuations and removes ultraviolet divergences (up to a multiplicative fermionic wavefunction renormalization). It can be used to describe real-space Wilsonian renormalization group transformations and determine the corresponding beta function. We propose a new nonperturbative renormalization scheme for local composite fermionic operators that uses the gradient flow and is amenable to lattice QCD calculations. We present preliminary nonperturbative results for the running of quark bilinear operators in this scheme and outline the calculation of perturbative matching to the MS-bar scheme.

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