三维双味Gross-Neveu模型中真空中的夸克-反夸克和双夸克凝聚
Quark-Antiquark and Diquark Condensates in Vacuum in a 3D Two-Flavor Gross-Neveu Model
摘要：
有效势分析表明，在真空中的三维双味Gross-Neveu模型中，依赖于小于或大于$G_S/H_P$的临界值2/3（其中$G_S$和$H_P$分别为标量夸克-反夸克通道和赝标双夸克通道的耦合常数），系统将具有纯双夸克凝聚或纯夸克-反夸克凝聚的基态，而不是两种凝聚体共存的情况。总结了二维、三维和四维双味四费米子相互作用模型中真空中夸克-反夸克凝聚和双夸克凝聚相互作用的异同。
英文摘要：
The effective potential analysis indicates that, in a 3D two-flavor Gross-Neveu model in vacuum, depending on less or bigger than the critical value 2/3 of $G_S/H_P$, where $G_S$ and $H_P$ are respectively the coupling constants of scalar quark-antiquark channel and pseudoscalar diquark channel, the system will have the ground state with pure diquark condensates or with pure quark-antiquark condensates, but no the one with coexistence of the two forms of condensates. The similarities and differences in the interplay between the quark-antiquark and the diquark condensates in vacuum in the 2D, 3D and 4D two-flavor four-fermion interaction models are summarized.
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