Erratum: Energy-momentum tensor from the Yang-Mills gradient flow (Progress of Theoretical and Experimental Physics (2013) 2013 (083B03))
Erratum: Energy-momentum tensor from the Yang-Mills gradient flow (Progress of Theoretical and Experimental Physics (2013) 2013 (083B03))
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勘误：Yang-Mills 梯度流的能量动量张量（理论与实验物理进展 (2013) 2013 (083B03)）
DOI：
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发表时间：
2015
期刊：
影响因子：
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通讯作者：
Hiroshi Suzuki
中科院分区：
文献类型：
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作者：
Hiroshi Suzuki
正流动时，杨-Mills梯度流产生的规范场的乘积不存在重合点奇异性，因此局部乘积与正则化无关。这样的局域乘积还可以通过零流时的重整化局域算符展开，其有限系数由重整化群方程控制。利用这些事实，我们导出了一个将某些规范不变局域积的小流动-时间行为与杨-Mills理论中正确归一化的能量-动量守恒张量联系起来的公式。我们的公式提供了一种利用晶格正则化和蒙特卡罗模拟计算明确定义的能量动量张量的关联函数的可能方法。
The product of gauge fields generated by the Yang-Mills gradient flow for positive flow times does not exhibit the coincidence-point singularity and a local product is thus independent of the regularization. Such a local product can furthermore be expanded by renormalized local operators at zero flow time with finite coefficients that are governed by renormalization group equations. Using these facts, we derive a formula that relates the small flow-time behavior of certain gauge-invariant local products and the correctly-normalized conserved energy-momentum tensor in the Yang-Mills theory. Our formula provides a possible method to compute the correlation functions of a well-defined energy-momentum tensor by using lattice regularization and Monte Carlo simulation.