Abstract:
The massive Gross–Neveu model is treated self-consistently in the
leading order of the 1/N1/N expansion. The properties of the model
when the temperature and the chemical potential are included are
studied. It is shown that there exists a critical value of the
chemical potential at which the effective mass of the fermion
abruptly changes its value.
Citation:
K. G. Klimenko, “Massive Gross–Neveu model in the leading order of the 1/N1/N expansion. Allowance for the temperature and the chemical potential”, TMF, 75:2 (1988), 226–233; Theoret. and Math. Phys., 75:2 (1988), 487–493
\Bibitem{Kli88}
\by K.~G.~Klimenko
\paper Massive Gross--Neveu model in the leading order of the~$1/N$ expansion. Allowance for the temperature and the chemical potential
\jour TMF
\yr 1988
\vol 75
\issue 2
\pages 226--233
\mathnet{http://mi.mathnet.ru/tmf4776}
\transl
\jour Theoret. and Math. Phys.
\yr 1988
\vol 75
\issue 2
\pages 487--493
\crossref{https://doi.org/10.1007/BF01017488}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1988U172900007}
Linking options:
https://www.mathnet.ru/eng/tmf4776
https://www.mathnet.ru/eng/tmf/v75/i2/p226
This publication is cited in the following 30 articles:
Adrian Koenigstein, Laurin Pannullo, “Inhomogeneous condensation in the Gross-Neveu model in noninteger spatial dimensions
1≤d<3
. II. Nonzero temperature and chemical potential”, Phys. Rev. D, 109:5 (2024)
Tamaz Khunjua, Konstantin Klimenko, Roman Zhokhov, “Charged Pion Condensation in Dense Quark Matter: Nambu–Jona-Lasinio Model Study”, Symmetry, 11:6 (2019), 778
T. G. Khunjua, K. G. Klimenko, R. N. Zhokhov, “Charged pion condensation and duality in dense and hot chirally and isospin asymmetric quark matter in the framework of the
NJL2
model”, Phys. Rev. D, 100:3 (2019)
T. G. Khunjua, K.G. Klimenko, R. N. Zhokhov–Larionov, V.E. Volkova, Y.V. Zhezher, D.G. Levkov, V.A. Rubakov, V.A. Matveev, “Affinity of NJL2 and NJL4 model results on duality and pion condensation in chiral asymmetric dense quark matter”, EPJ Web Conf., 191 (2018), 05016
T. G. Khunjua, K. G. Klimenko, R. N. Zhokhov, V. C. Zhukovsky, “Inhomogeneous charged pion condensation in chiral asymmetric dense quark matter in the framework of a
NJL2
model”, Phys. Rev. D, 95:10 (2017)
D. Ebert, T. G. Khunjua, K. G. Klimenko, “Duality between chiral symmetry breaking and charged pion condensation at large
Nc
: Consideration of an
NJL2
model with baryon, isospin, and chiral isospin chemical potentials”, Phys. Rev. D, 94:11 (2016)
D. Ebert, T. G. Khunjua, K. G. Klimenko, V. Ch. Zhukovsky, “Competition and duality correspondence between inhomogeneous fermion-antifermion and fermion-fermion condensations in theNJL2model”, Phys. Rev. D, 90:4 (2014)
V. Ch. Zhukovsky, K. G. Klimenko, T. G. Khunjua, “The effect of chiral density waves on the superconducting phase in the two-dimensional Gross-Neveu model”, Moscow Univ. Phys., 68:2 (2013), 105
N. V. Gubina, K. G. Klimenko, S. G. Kurbanov, V. Ch. Zhukovsky, “Inhomogeneous charged pion condensation phenomenon in theNJL2model with quark number and isospin chemical potentials”, Phys. Rev. D, 86:8 (2012)
D. EBERT, T. G. KHUNJUA, K. G. KLIMENKO, V. CH. ZHUKOVSKY, “CHARGED PION CONDENSATION PHENOMENON OF DENSE BARYONIC MATTER INDUCED BY FINITE VOLUME: THE NJL2 MODEL CONSIDERATION”, Int. J. Mod. Phys. A, 27:27 (2012), 1250162
Ebert D., Gubina N.V., Klimenko K.G., Kurbanov S.G., Zhukovsky V.Ch., “Chiral density waves in the NJL(2) model with quark number and isospin chemical potentials”, Phys Rev D, 84:2 (2011), 025004
Daniel Fernandez-Fraile, “Bulk viscosity of the massive Gross-Neveu model”, Phys. Rev. D, 83:6 (2011)
Heron Caldas, “An effective field theory model for one-dimensional CH chains: effects at finite chemical potential, temperature and external Zeeman magnetic field”, J. Stat. Mech., 2011:10 (2011), P10005
V. Ch. Zhukovsky, K. G. Klimenko, T. G. Khunjua, “Pion condensation in the Gross-Neveu model”, Moscow Univ. Phys., 65:1 (2010), 21
Heron Caldas, “Temperature effects on the magnetization of quasi-one-dimensional Peierls distorted materials”, J. Stat. Mech., 2010:03 (2010), P03027
MASAKO HAYASHI, TOMOHIRO INAGAKI, WATARU SAKAMOTO, “PHASE STRUCTURE OF A FOUR- AND EIGHT-FERMION INTERACTION MODEL AT FINITE TEMPERATURE AND CHEMICAL POTENTIAL IN ARBITRARY DIMENSIONS”, Int. J. Mod. Phys. A, 25:25 (2010), 4757
D. Ebert, K. G. Klimenko, “Properties of the massive Gross-Neveu model with nonzero baryon and isospin chemical potentials”, Phys. Rev. D, 80:12 (2009)
D. Ebert, K. G. Klimenko, A. V. Tyukov, V. Ch. Zhukovsky, “Finite size effects in the Gross-Neveu model with isospin chemical potential”, Phys. Rev. D, 78:4 (2008)
Oliver Schnetz, Michael Thies, Konrad Urlichs, “Full phase diagram of the massive Gross–Neveu model”, Annals of Physics, 321:11 (2006), 2604
Joshua Feinberg, Shlomi Hillel, “Fermion bag solitons in the massive Gross–Neveu and massive Nambu–Jona–Lasinio models in 1+1 dimensions: inverse scattering analysis”, J. Phys. A: Math. Gen., 39:21 (2006), 6341
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