论文标题
在拓扑角度$θ=π$的4个FERMI相互作用的无质量Schwinger模型
Massless Schwinger model with a 4-fermi interaction at topological angle $θ= π$
论文作者
论文摘要
我们以额外的4-Fermi相互作用和拓扑术语来研究无质量的雪松模型。对于拓扑角度$θ=π$电荷共轭对称性以非平凡的方式实施，我们研究了其自发破裂的可能性。对于晶格离散化，我们在仪表场上使用交错的费米子和反派动作，其中拓扑术语是整数，而电荷共轭为$θ=π$是一个精确的对称性。合适的世界线/世界表代表克服了复杂的行动问题。我们发现，作为4-FERMI耦合的函数，系统显示了一个临界点，将弱耦合阶段分开，其中电荷共轭对称是从强耦合阶段完整的，并且自发断裂的电荷偶联对称性。
We study the massless Schwinger model with an additional 4-fermi interaction and a topological term. For topological angle $θ= π$ charge conjugation symmetry is implemented in a non-trivial way and we study the possibility of its spontaneous breaking. For the lattice discretization we use staggered fermions and the Villain action for the gauge fields, where the topological term is an integer and charge conjugation at $θ= π$ is an exact symmetry. The complex action problem is overcome by a suitable worldline/worldsheet representation. We find that as a function of the 4-fermi coupling the system shows a critical point separating a weak coupling phase where charge conjugation symmetry is intact from a strong coupling phase with spontaneously broken charge conjugation symmetry.
