标题： 带电荷的束缚态 显示英文标题

标题： Dyonic bound states

摘要： 我们研究了（多）费米子-单极束缚态，其中许多是当费米子变得轻时，磁单极子绝热过渡到的态。 这些束缚态的性质关键取决于费米子质量项所保留的UV对称性、它们的相对大小以及 $\theta$的值。 根据质量项的相对大小和 $\theta$的值，束缚态可能会经历相变，也可能从稳定转变为不稳定。 在某些简单情况下，束缚态解可以与另一种具有较少费米子和较大规范耦合的理论的Witten效应相关联。 这些束缚态是由于单极子核心处的质量项和对称性破缺边界条件引起的，因此这些束缚态在意外的红外对称性下不一定有确定的量子数。 此外，它们的结合能是费米子质量的 $\mathcal{O}(1)$倍，束缚态半径为它们逆质量的数量级。 当接近无质量极限时，束缚态半径趋于无穷大，并且它们成为新的奇量子数的渐近态，从而动态地理解了半子起源。 显示英文摘要

摘要： We study (multi) fermion - monopole bound states, many of which are the states that dyons adiabatically transition into as fermions become light. The properties of these bound states depend critically on the UV symmetries preserved by the fermion mass terms, their relative size, and the value of $\theta$. Depending on the relative size of the mass terms and the value of $\theta$, the bound states can undergo phase transitions as well as transition from being stable to unstable. In some simple situations, the bound state solution can be related to the Witten effect of another theory with fewer fermions and larger gauge coupling. These bound states are a result of mass terms and symmetry breaking boundary conditions at the monopole core and, consequently, these bound states do not necessarily have definite quantum numbers under accidental IR symmetries. Additionally, they have binding energies that are $\mathcal{O}(1)$ times the fermion mass and bound state radii of order their inverse mass. As the massless limit is approached, the bound state radii approach infinity, and they become new asymptotic states with odd quantum numbers giving a dynamical understanding to the origin of semitons.