Effective Field Theories in the Gradient Flow Formalism

梯度流形式主义中的有效场论

• 批准号: 460791904
• 负责人: Professor Dr. Robert Harlander
• 金额: --
• 依托单位: Institut für Theoretische Teilchenphysik und Kosmologie
• 依托单位国家: 德国
• 项目类别: Research Grants
• 资助国家: 德国
• 项目状态: 未结题
• 来源: https://gepris.dfg.de/gepris/projekt/460791904?language=en
• 关键词: Effective; Field; Theories; Gradient; Flow

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.

用“流”运算符表示复合场运算符，极大地方便了相应矩阵元素的格子计算。这一点已经在能量动量张量的第一次研究中得到了证明，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现象学上相关的有效场论，例如，它们在风味物理学中的应用。我们还将包括被连续统运动方程消失的算子，因为它们是减少晶格伪影所必需的。除了这些物理结果，我们还将在梯度流形式下发展进一步的计算技术，例如渐近展开和系统的主积分计算。