Abstract
The properties of mesons and the thermodynamics of the system in the Nambu–Jona-Lasinio model with different regularizations are considered. The effect of the regularization scheme and parameter sets on the phase diagram of matter is studied. It is noted that the first-order phase transition in the system may vanish if a certain parameter set is used in the Nambu–Jona-Lasinio model with the Pauli–Villars regularization.
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A. Bazavov, T. Bhattacharya, M. Cheng, C. DeTar, H.-T. Ding, S. Gottlieb, R. Gupta, P. Hegde, U. M. Heller, F. Karsch, E. Laermann, L. Levkova, S. Mukherjee, P. Petreczky, C. Schmidt, et al., “The chiral and deconfinement aspects of the QCD transition,” Phys. Rev. D: Part. Fields 85, 054503 (2012); arXiv:1111.1710[hep-lat].
S. Ejiri, “Lattice QCD at finite temperature,” Nucl. Phys. Proc. Suppl. 94, 19 (2009).
J. Kogut, M. Stone, H. W. Wyld, W. R. Gibbs, J. Shigemitsu, S. H. Shenker, and D. K. Sinclair, “Deconfinement and chiral symmetry restoration at finite temperatures in SU(2) and SU(3) Gauge theories,” Phys. Rev. Lett. 50, 393–396 (1983); “Quark and gluon latent heats at the deconfinement phase transition in SU(3) Gauge theory,” Phys. Rev. Lett. 51, 869–872 (1983).
L. K. Wu, X. Q. Luo, and H. S. Chen, “Phase structure of lattice QCD with two flavors of Wilson quarks at finite temperature and chemical potential,” Phys. Rev. D: Part. Fields 76, 034505-10 (2011).
Y. Nambu and G. Jona-Lasinio, “Dynamical model of elementary particles based on an analogy with superconductivity I,II,” Phys. Rev. 122, 345 (1961); Phys. Rev. 124, 246 (1961).
M. K. Volkov, “Meson lagrangians in a superconductor quark model,” Ann. Phys. (N.Y.) 157, 282–303 (1984).
M. Gell-Mann and M. Levi, “The axial vector current in beta decay,” Nuovo Cimento 16, 705–726 (1960).
U. Vogl and W. Weise, “The Nambu and Jona-Lasinio model: its implications for hadrons and nuclei,” Progr. Part. Nucl. Phys. 27, 195–272 (1991).
S. P. Klevansky, “The Nambu–Jona-Lasinio model of quantum chromodynamics,” Rev. Mod. Phys. 64, 649–708 (1992).
T. Hatsuda and T. Kunihiro, “QCD phenomenology based on a chiral effective lagrangian,” Phys. Rep. 27, 221–367 (1994).
M. Buballa, “NJL model analysis of dense quark matter,” Phys. Rep. 407, 205–376 (2005).
M. K. Volkov and A. E. Radzhabov, “The Nambu–Jona-Lasinio model and its development,” Phys. Usp. 49, 551–561 (2006).
T. Hatsuda and T. Kunihiro, “Fluctuation effects in hot quark matter: pecursors of chiral transition at finite temperature,” Phys. Rev. Lett. 55, 158–161 (1985).
M. Asakawa and K. Yazaki, Nucl. Phys. A 504, 668 (1989).
A. V. Friesen, Yu. L. Kalinovsky, and V. D. Toneev, “Impact of the vector interaction on the phase structure of QCD matter,” arXiv:1412.6872.
K. Kashiwa, H. Kouno, M. Matsuzaki, and M. Yahiro, “Critical endpoint in the Polyakov-loop extended NJL model,” Phys. Lett. B 662, 26–32 (2008).
T. Hatsuda and T. Kunihiro, “QCD phenomenology based on a chiral effective lagrangian,” Phys. Rep. 247, 221–367 (1994).
J. Hüfner, S. P. Klevansky and P. Zhuang, “Thermodynamics of a quark plasma in the mean field,” Acta Phys. Polon. B 25, 85–98 (1994).
E. E. Salpeter and H. A. Bethe, “A relativistic equation for bound-state problems,” Phys. Rev. 84, 1232–1242 (1951).
R. G. Dzhafarov and V. E. Rochev, “Two regularizations—two different Nambu–Jona-Lasinio models,” Preprint IFVE No. 27 (Inst. Fiz. Vysok. Energ., Protvino, 2004).
R. G. Dzhafarov and V. E. Rochev, “Decomposition of mean field and meson effects in chiral condensate in Nambu–Jona-Lasinio model with analytical regularization,” Preprint IFVE No. 23 (Inst. Fiz. Vysok. Energ., Protvino, 2003).
W. Pauli and F. Villars, “On the invariant regularization in relativistic quantum theory,” Rev. Mod. Phys. 21, 434–444 (1949).
W. Florkowski, “Description of hot compressed hadronic matter based on an effective chiral lagrangian,” Acta Phys. Polon. B 28, 2079–2205 (1997).
Ch. V. Christov, E. Ruiz Arriola, and K. Goeke, “Meson properties and chiral transition at finite temperature and density in Nambu–Jona-Lasinio model with different regularization schemes,” Acta Phys. Polon. A 22, 187–202 (1991).
C. Itzykson and J.-B. Zuber, Quantum Field Theory, Dover Books on Physics (Dover, New York, 2006).
M. Ishii, T. Sasaki, K. Kashiwa, H. Kouno, and M. Yahiro, “Effective model to meson screening masses at finite temperature,” Phys. Rev. D: Part. Fields 89, 071901-15 (2014).
L. Reinders, J. H. Rubinstein, and S. Yazaki, Phys. Rep. 127, 2 (1985).
A. V. Freisen, Yu. L. Kalinovsky, and V. D. Toneev, “Effects of model parameters in thermodynamics of the PNJL model,” Int. J. Mod. Phys. A 27, 1250013-15 (2012).
M. Oertel, “Investigation of meson loop effects in the Nambu–Iona-Lasinio model,” arXiv:hep-ph/0012224v1.
C. Ratti, M. A. Thaler, and W. Weise, “Phases of QCD: lattice thermodynamics and a field theoretical model,” Phys. Rev. D: Part. Fields 73, 014019-10 (2006).
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Original Russian Text © Yu.L. Kalinovsky, A.V. Friesen, 2015, published in Pis’ma v Zhurnal Fizika Elementarnykh Chastits i Atomnogo Yadra, 2015.
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Kalinovsky, Y.L., Friesen, A.V. Properties of mesons and critical points in the Nambu–Jona-Lasinio model with different regularizations. Phys. Part. Nuclei Lett. 12, 737–743 (2015). https://doi.org/10.1134/S1547477115060060
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DOI: https://doi.org/10.1134/S1547477115060060