2007/04/06 by Bang-Rong Zhou, Zhou, Bang-Rong
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-th
paper · pdf · doi:10.48550/arxiv.0704.0841
11 pages, 4 figures, General Poster 76 (Physical sciences) at 2007 AAAS Annual Meeting, San Francisco, Feb. 14-20, 2007, minor typos corrected,acknowledgment to financial supporter added
openalex publication_date 2007/04/06 · arxiv created 2008/02/17 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Theoretical analysis of interplay between the condensates <qq> and <qq> in vacuum is generally made by relativistic effective potentials in the mean field approximation in 2D, 3D and 4D models with two flavor and Nc color massless fermions. It is found that in ground states of these models, interplay between the two condensates mainly depend on the ratio GS/HS for 2D and 4D case or GS/HP for 3D case, where GS, HS and HP are respectively the coupling constants in a scalar (qq), a scalar (qq) and a pseudoscalar (qq) channel. In ground states of all the models, only pure <qq> condensates could exist if GS/HS or GS/HP is bigger than the critical value 2/Nc, the ratio of the color numbers of the fermions entering into the condensates <qq> and <qq>. As GS/HS or GS/HP decreases to the region below 2/Nc, differences of the models will manifest themselves. Depending on different models, and also on Nc in 3D model, one will have or have no the coexistence phase of the two condensates, besides the pure <qq> condensate phase. The GS-HS (or GS-HP) phase diagrams in these models are given. The results also implicate a real constraint on two-flavor QCD-analogous NJL model.