标题： 定域反常手征凝聚的施温格模型 显示英文标题

标题： Divergent chiral condensate in the quenched Schwinger model

摘要： 我们数值计算了在定态施温格模型中重叠Dirac算符的本征值分布。 该分布不符合自发手征对称破缺的三个普适类中的任何一个，并且其强烈的体积依赖性表明定态理论中的手征凝聚量是一个定义不良且发散的量。 当我们用Dirac行列式重新权重构型以研究带有 N_f=1 的理论时，我们得到了一个表现良好且与由于反常引起的显式对称破缺理论一致的本征值分布。 显示英文摘要

摘要： We calculate numerically the eigenvalue distribution of the overlap Dirac operator in the quenched Schwinger model on a lattice. The distribution does not fit any of the three universality classes of spontaneous chiral symmetry breaking, and its strong volume dependence indicates that the chiral condensate in the quenched theory is an ill-defined and divergent quantity. When we reweight configurations with the Dirac determinant to study the theory with N_f=1, we obtain a distribution of eigenvalues that is well-behaved and consistent with the theory of explicit symmetry breaking due to the anomaly.