Effective Field Theories in the Gradient Flow Formalism

用“流动”算子表示复合场算子极大地方便了相应矩阵元素的格求值。这已经在能量动量张量的第一个研究中得到了证明，使用的是我们小组得出的结果。在这个项目中，我们建议将这种方法应用于与现象学相关的有效场理论，例如它们在风味物理中使用。我们还将包括在连续运动方程中消失的算子，因为它们是减少晶格伪影所必需的。随着这些物理结果，我们将在梯度流的形式中发展进一步的计算技术，如渐近展开和主积分的系统计算。

Expressing composite field operators in terms of ``flowed'' operators enormously facilitates the lattice evaluation of the corresponding matrix elements. This was already demonstrated in first studies for the energy-momentum tensor, using results derived by our group. In this project, we propose to apply this approach to phenomenologically relevant effective field theories as they are used in flavor physics, for example. We will include also operators which vanish by the continuum equations-of-motion, because they are needed in order to reduce lattice artifacts. Along with these physical results, we will develop further calculational techniques within the gradient-flow formalism, such as asymptotic expansions, and a systematic calculation of master integrals.