带离壳层重整化的阶跃标度
Step Scaling with off-shell renormalisation
摘要：
我们利用扭曲的边界条件的离壳EST-Southampton重整化。这允许以固定的物理动量精确地定义顶点函数，该物理动量不需要是模拟的傅立叶模式之一。该定义包括选择相对于晶格轴的取向，并且因此包括${\cal O}(4)$断裂的晶格伪像然后具有有效的Symanzik展开。体积平面波源提供了极好的统计精度，使得理论上和统计上都能得到干净的连续极限。此后，所有的$p^2$依赖性都可以明确地识别为连续异常运行。已经发现使用非例外动量可以大大降低非微扰顶点函数对质量和$p^2$的依赖性。我们说明了如何这可以发展成为一个实用的计划，逐步扩大的RI/SCRESS的方法与初步结果。可能的步骤的大小是连续的，而不是离散的，允许采取任意小的步骤，该计划继承了RI/ESTA的属性，它很容易实现一般的运营商。
英文摘要：
We make use of twisted boundary conditions for off-shell Rome-Southampton renormalisation. This allows to define the vertex function precisely, at a fixed physical momentum that need not be one of the Fourier modes of a simulation. This definition includes choosing the orientation with respect to lattice axes, and so lattice artefacts including ${\cal O}(4)$ breaking then have a valid Symanzik expansion. Excellent statistical precision is afforded by volume plane-wave sources, enabling both a theoretically and statistically clean continuum limit to be taken. Thereafter all $p^2$ dependence can be unambiguously identified as continuum anomolous running. The use of non-exceptional momenta has been found to greatly reduce the dependence of non-perturbative vertex functions on both mass and $p^2$. We illustrate how this can be developed into a practical scheme for step-scaling the RI/SMOM approach with initial results. The size of the possible steps is continuous, rather than discrete allowing one to take arbitrarily small steps, and the scheme inherits from RI/MOM the property that it is easy to implement for general operators.
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