Quark-Antiquark and Diquark Condensates in Vacuum in a 2D Two-Flavor Gross-Neveu Model

分析基于重新使正常化的有效潜力显示那，类似于在 4D 二风味的 Nambu—Jona-Lasinio (NJL ) 模型，在 2D 二风味粗野—Neveumodel，在夸克反夸克之间的相互影响和在真空的 diquark 冷凝物也取决于 G_S/H_S，在分级的夸克反夸克和分级的 diquarkchannel 的联合常数的比率。如果，仅仅纯夸克反夸克冷凝物存在 G_S/H_S 】 2/3，它就夸克的颜色数字的比率正在参予 diquark 和夸克反夸克冷凝物。Thetwo 冷凝物将共存如果 0 【 G_S/H_S 【 2/3。然而，与 4D NJL 模型，不同纯 diquark 冷凝物仅仅在 G_s/H_s = 产生 0 并且不在在 2/3 下面的可能有限的区域 ofG_S/H_S。

The analysis based on the renormalized effective potential indicates that, similar to in the 4D two-flavor Nambu-Jona-Lasinio （NJL） model, in a 2D two-flavor Gross-Neveu model, the interplay between the quark-antiquark and the diquark ,condensates in vacuum also depends on Gs/Hs, the ratio of the coupling constants in scalar quarkantiquark and scalar diquark channel. Only the pure quark-antiquark condensates exist if Gs/Hs 〉 2/3, which is just the ratio of the color numbers of the quarks participating in the diquark and quark-antiquark condensates. The two condensates will coexist if 0 〈 Gs/Hs 〈 2/3. However, different from the 4D NJL model, the pure diquark condensates arise only at Gs/Hs = 0 and are not in a possibly finite region of Gs/Hs below 2/3.