Abstract:
It is shown that the calculation of the anomalous averages in the Hartree–Fock approximation comes to the conclusion about the presence of the usual chiral phase transition provided the sign of the connection constant is normal (g>0), and the other superconductivity–like transition when g<0.
Citation:
A. N. Vasil'ev, G. Yu. Panasyuk, “On the possibilities of a phase transition of superconducting type in the Gross–Neveu model”, TMF, 103:2 (1995), 295–298; Theoret. and Math. Phys., 103:2 (1995), 570–572
\Bibitem{VasPan95}
\by A.~N.~Vasil'ev, G.~Yu.~Panasyuk
\paper On the possibilities of a~phase transition of superconducting type in the Gross--Neveu model
\jour TMF
\yr 1995
\vol 103
\issue 2
\pages 295--298
\mathnet{http://mi.mathnet.ru/tmf1304}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1470950}
\zmath{https://zbmath.org/?q=an:0850.82035}
\transl
\jour Theoret. and Math. Phys.
\yr 1995
\vol 103
\issue 2
\pages 570--572
\crossref{https://doi.org/10.1007/BF02274035}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1995TD56100010}
Linking options:
https://www.mathnet.ru/eng/tmf1304
https://www.mathnet.ru/eng/tmf/v103/i2/p295
This publication is cited in the following 3 articles:
M. M. Gubaeva, R. N. Zhokhov, K. G. Klimenko, T. G. Khunjua, “The Hartree–Fock Approach to the Dynamic Generation of the Fermion Mass in the (2 + 1)-Dimensional Thirring Model”, Moscow Univ. Phys., 77:4 (2022), 589
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)