Note on Rome-Southampton renormalization with smeared gauge fields
Note on Rome-Southampton renormalization with smeared gauge fields
复制标题
DOI：
10.1103/physrevd.88.114506
复制
发表时间：
2013-06
影响因子：
5
通讯作者：
R. Arthur;P. Boyle;S. Hashimoto;R. Hudspith
中科院分区：
文献类型：
--
作者：
R. Arthur;P. Boyle;S. Hashimoto;R. Hudspith
我们计算了双线性和四费米子算子在罗马-南安普顿格式中使用各种规范场的涂抹处方进行重整的连续统极限阶跃缩放函数。此外，我们还首次计算了罗马-南安普顿格式中重归一化算子的非微扰异常维数。这种涂抹效应首先通过辐射修正进入连通的费米子相关函数。我们使用壳外重整作为探针，并观察到罗马-南安普顿窗口的上边缘因链接涂抹而减少。这可以解释为由于费米子与高动量胶子的解耦引起的，我们观察到，在大晶格动量下，随尺度运行的算子显示出增强的晶格伪像。我们发现HEX涂抹的效果比Stout涂抹的效果更大，但是在这两种情况下，与薄链接模拟相比，在使用带有涂抹规范场的壳外重整化时，必须格外小心。
We have calculated continuum limit step scaling functions of bilinear and four-fermion operators renormalized in a Rome-Southampton scheme using various smearing prescriptions for the gauge field. Also, for the first time, we have calculated non-perturbative anomalous dimensions of operators renormalized in a Rome-Southampton scheme. The effect of such smearing first enters connected fermionic correlation functions via radiative corrections. We use off-shell renormalisation as a probe, and observe that the upper edge of the Rome-Southampton window is reduced by link smearing. This can be interpreted as arising due to the fermions decoupling from the high momentum gluons and we observe that the running of operators with the scale at large lattice momenta shows enhanced lattice artefacts. We find that the effect is greater for HEX smearing than for Stout smearing, but that in both cases additional care must be taken when using off-shell renormalisation with smeared gauge fields compared to thin link simulations.