发表机构
Albert Einstein Center, Institute for Theoretical Physics, University of Bern; Physics Department, University of Washington（伯尔尼大学理论物理研究所爱因斯坦中心; 华盛顿大学物理系）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本研究针对手征微扰论中的Wess-Zumino-Witten项，推导了可通过格点量子色动力学计算的有限体积下的两粒子、三粒子谱获取相关振幅的形式体系，确定了相关K矩阵的阈值展开并给出手征微扰论的领头阶预测。
AI 中文摘要
手征微扰论中的Wess-Zumino-Witten相互作用是手征反常的一种体现，其结果之一是存在非零的$K \overline K \to \pi^+ \pi^0 \pi^-$振幅。我们推导了有限体积下的形式体系，该体系可利用格点量子色动力学计算的有限体积内两粒子和三粒子的谱来获取此振幅及相关振幅。具体而言，我们给出了$K \overline K + 3 \pi$与$I=0$、$\pi K + \pi\pi K$与$I=1/2$及$3/2$系统的形式体系。此外，我们确定了形式体系中涉及的$2\leftrightarrow 3$和$3\leftrightarrow 3$ K矩阵的阈值展开，并计算了手征微扰论对这些展开中系数的领头阶预测。
英文摘要
The Wess-Zumino-Witten interaction in chiral perturbation theory is a manifestation of chiral anomalies. One of its consequences is the presence of a nonvanishing $K \overline K \to π^+ π^0 π^-$ amplitude. We derive the finite-volume formalism that allows one to access this, and related, amplitudes, using the spectra of two and three particles in finite volumes, spectra that can be calculated using lattice QCD. Specifically, we present the formalism for the systems $K \overline K + 3 π$ with $I=0$ and $πK + ππK$ with $I=1/2$ and $3/2$. In addition, we determine the threshold expansions for the $2\leftrightarrow 3$ and $3\leftrightarrow 3$ K matrices that enter the formalism, and calculate the leading order predictions from chiral perturbation theory for the coefficients that enter these expansions.
Comments54 pages, 3 figures, 5 tables
