标题： 在重叠形式中的施温格模型模拟 显示英文标题

标题： A simulation of the Schwinger model in the overlap formalism

摘要： 在连续体中，单味无质量施温格模型在微扰规范场的区域具有精确的全局轴向 $U(1)$对称性。 这种对称性被具有非零拓扑电荷的规范场破坏，导致双线性项 $\bar\psi\psi$的期望值不为零。 我们证明，使用重叠形式处理无质量费米子的该模型的格点表述，明确表现出这一现象。 对该完整系统的蒙特卡洛模拟得到了正确的费米子凝聚物值，并明确显示其来源于拓扑电荷等于一的区域。 显示英文摘要

摘要： In the continuum, the single flavor massless Schwinger model has an exact global axial $U(1)$ symmetry in the sector of perturbative gauge fields. This symmetry is explicitly broken by gauge fields with nonzero topological charge inducing a nonzero expectation value for the bilinear $\bar\psi\psi$. We show that a lattice formulation of this model, using the overlap formalism to treat the massless fermions, explicitly exhibits this phenomenon. A Monte Carlo simulation of the complete system yields the correct value of the fermion condensate and shows unambiguously that it originates from the sector of topological charge equal to unity.