标题： 夸克质量与手征对称性 显示英文标题

标题： Quark Masses and Chiral Symmetry

摘要： 我讨论了夸克和胶子的强相互作用规范理论在夸克质量和CP破坏参数$\theta$函数下的全局结构。 我集中讨论在$\theta=\pi.$时是否会发生一阶相变，我说明了当多种味具有小简并质量时为何会预期发生这种相变。 通过足够的味对称性破缺可以消除这种相变。 我对这种结构对威尔逊格点费米子的含义进行了推测。 显示英文摘要

摘要： I discuss the global structure of the strongly interacting gauge theory of quarks and gluons as a function of the quark masses and the CP violating parameter $\theta$. I concentrate on whether a first order phase transition occurs at $\theta=\pi.$ I show why this is expected when multiple flavors have a small degenerate mass. This transition can be removed by sufficient flavor-breaking. I speculate on the implications of this structure for Wilson's lattice fermions.