论文标题
$ n_f $ = 3 QCD $χsf$设置的RG运行张量电流
RG-running of the tensor currents for $N_f$ =3 QCD in a $χSF$ setup
论文作者
论文摘要
我们介绍了在高能范围内的非扰动非扰动运行的初步结果,$ 2〜 \ rm {gev} \sillesimμ\ sillsimμ\ sillsim 128〜 \ rm {gev} $ in $ n_f = 3 $ sossemble qcd = 3 $ sosseless qcd,比较了四个差异化定义的定义不变。我们使用ARXIV的配置集合:1802.05243和ARXIV:1607.06423,受Schrödinger功能(SF)边界条件的约束,以及带有chirally旋转的Schrödinger函数($χ$ SF)边界条件的价值夸克。只要对边界对抗进行了适当调整,这将导致tensor操作员的改进,而无需尺寸-4 symanzik Counterterm(与$ C_T $成比例)。
We present the preliminary results of the non-perturbative running of the flavour non-singlet tensor operator in the high-energy range $2~\rm{GeV}\lesssim μ\lesssim 128~\rm{GeV}$ in $N_f=3$ massless QCD, comparing four different definitions of the renormalisation constant. We use the configuration ensembles of arXiv:1802.05243 and arXiv:1607.06423, subject to Schrödinger functional (SF) boundary conditions, and valence quarks with chirally rotated Schrödinger functional ($χ$SF) boundary conditions. Provided that boundary counterterms have been appropriately tuned, this results in O($a$) improvement of the tensor operator, without the need of a dimension-4 Symanzik counterterm (proportional to $c_T$).