标题： 平坦空间中非平凡拓扑的动态对称性破缺 显示英文标题

标题： Dynamical Symmetry Breaking in Flat Space with Non-trivial Topology

摘要： 我们考虑了一个四费米子理论作为平坦空间中具有非平凡拓扑的动力学对称性破缺的简单模型，这是受最近在弯曲空间中类似研究的启发。 通过发展一种有用的表述来评估三维和四维时空中的任意紧致化平坦空间的有效势，研究了相结构。 由于紧致化空间中的有限体积效应，相结构发生了显著变化。 有趣的是，这种效应根据费米场的边界条件以不同的方式起作用。 讨论了结果的物理解释及其对弯曲空间中动力学对称性破缺现象的影响。 显示英文摘要

摘要： We consider a four-fermion theory as a simple model of dynamical symmetry breaking in flat space with non-trivial topology, motivated from recent studies in similar considerations in curved space. The phase structure is investigated, by developing a useful formalism to evaluate the effective potential in arbitrary compactified flat space in 3- and 4-dimensional spacetime. The phase structure is significantly altered due to the finite volume effect in the compactified space. Interestingly, the effect works in different way depending on the boundary condition of the fermion fields. The physical interpretation of the results and its implication on the dynamical symmetry breaking phenomenon in curved space are discussed.