Quark-Antiquark and Diquark Condensates in Vacuum in Two-Flavor Four-Fermion Interaction Models with Any Color Number Nc

• 来源期刊: 理论物理通讯（英文版）
• 年，卷（期）: 2009,（4）
• 页码范围: 700-706
• 页数: 7页
• 语种: 英文

摘要

The color number No-dependence of the interplay between quark-antiquark condensates <qq> and diquark condensates <qq> in vacuum in two-flavor four-fermion interaction models is researched. The results show that the Gs-Hs (the coupling constant of scalar (qq)2-scalar (qq)2 channel) phase diagrams will be qualitatively consistent with the case of Nc = 3 as Nc varies in 4D Nambu-Jona-Lasinio model and 2D Gross-Neveu (GN) model. However, in 3D GN model, the behavior of the Gs-Hp (the coupling constant of pseudoscalar (qq)2 channel) phase diagram will obviously depend on No. The known characteristic that a 3D GN model does not have the coexistence phase of the eondensates <qq> and<qq> is proven to appear only in the ease of Nc≤ 4. In all the models, the regions occupied by the phases containing the diquark condensates <qq> in corresponding phase diagrams will gradually decrease as Nc grows up and finally go to zero if Nc →∞, i.e. in this limit only the pure <qq> phase could exist.