The relation between the NJL model and QCD with condensed gluons

2016/02/29 by Hiroaki Kohyama, Kohyama, Hiroaki
Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High-Energy Particle Collisions Research #Quantum Chromodynamics and Particle Interactions #hep-ph

paper · pdf · doi:10.48550/arxiv.1602.09056

5 pages, 2 figures

arxiv created 2016/02/29 · openalex publication_date 2016/02/29 · arxiv updated 2016/03/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We try to find the relation between the three-flavor Nambu-Jona-Lasinio model and QCD based on the hypothesis that the gluon momenta are sharply condensed around the QCD scale, μ_g. We find that the effective four- and six-fermion interactions, G₄ and G₆, should be scaled by G₄ proportional to μ_g^(-2) and G₆ proportional to μ_g^(-5) being consistent with the mass dimension counting in the obtained effective Lagrangian. We then study the μ_g dependence on the phase diagram of the chiral phase transition at finite temperature and chemical potential and the location of the critical point. We find that the location of the critical point are sensitively affected by the value of the introduced gluon energy scale.

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