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arXiv · hep-th/0703060

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

Zhou Bang-Rong
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Abstract

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 $G_S/H_S$, the ratio of the coupling constants in scalar quark-antiquark and scalar diquark channel. Only the pure quark-antiquark condensates exist if $G_S/H_S>2/3$ 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 $0<G_S/H_S<2/3$. However, different from the 4D NJL model, the pure diquark condensates arise only at $G_S/H_S=0$ and are not in a possibly finite region of $G_S/H_S$ below 2/3.

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Zhou Bang-Rong. 2007-03-07. Quark-Antiquark and Diquark Condensates in Vacuum in a 2D Two-Flavor Gross-Neveu Model. https://doi.org/10.1088/0253-6102%2F47%2F3%2F029

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