Affinity of NJL2 and NJL4 model results on duality and pion condensation in chiral asymmetric dense quark matter
Faculty of Physics, Moscow State University, 119991, Moscow, Russia
2 Logunov Institute for High Energy Physics, NRC “Kurchatov Institute
3 Pushkov Institute of Terrestrial Magnetism, Ionosphere and Radiowave Propagation (IZMIRAN), 108840 Troitsk, Moscow, Russia
Published online: 31 October 2018
In this paper we investigate the phase structure of a (1+1) and (3+1)-dimensional quark model with four-quark interaction and in the presence of baryon (μB), isospin (μI) and chiral isospin (μI5) chemical potentials. It is shown that the chemical potential μI5 promotes the appearance of the charged PC phase with nonzero baryon density. Results of both models are qualitatively the same, this fact enhances one's confidence in the obtained predictions. It is established that in the large-Nc limit (Nc is the number of colored quarks) there exists a duality correspondence between the chiral symmetry breaking phase and the charged pion condensation one.
© The Authors, published by EDP Sciences, 2018
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