Abstract:
The two-dimensional massless four-fermion theory (1) with several coupling constants
is considered in the 1/N approximation. This model is asymptotically free. For all
values of the coupling constants, there is dynamical breaking of the chiral invariance
in it, and the fermions acquire masses. It is shown that there exist two different
phases with massive fermions. Necessary and sufficient conditions under which the
theory does not have ghosts are found. In the leading order in 1/N, the model contains
bosons with two different masses.
Citation:
K. G. Klimenko, “Generalization of the Gross–Neveu model to the case of several coupling constants”, TMF, 66:3 (1986), 381–391; Theoret. and Math. Phys., 66:3 (1986), 252–259
\Bibitem{Kli86}
\by K.~G.~Klimenko
\paper Generalization of the Gross--Neveu model to the case of several coupling constants
\jour TMF
\yr 1986
\vol 66
\issue 3
\pages 381--391
\mathnet{http://mi.mathnet.ru/tmf4634}
\transl
\jour Theoret. and Math. Phys.
\yr 1986
\vol 66
\issue 3
\pages 252--259
\crossref{https://doi.org/10.1007/BF01018222}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1986E586400005}
Linking options:
https://www.mathnet.ru/eng/tmf4634
https://www.mathnet.ru/eng/tmf/v66/i3/p381
This publication is cited in the following 7 articles:
Dario Benedetti, Sylvain Carrozza, Razvan Gurau, Alessandro Sfondrini, “Tensorial Gross-Neveu models”, J. High Energ. Phys., 2018:1 (2018)
Michael Thies, “Integrable Gross-Neveu models with fermion-fermion and fermion-antifermion pairing”, Phys. Rev. D, 90:10 (2014)
Johannes Hofmann, “Dimensional reduction in quantum field theories at finite temperature and density”, Phys. Rev. D, 82:12 (2010)
Christian Boehmer, Michael Thies, “Competing mechanisms of chiral symmetry breaking in a generalized Gross-Neveu model”, Phys. Rev. D, 81:10 (2010)
Christian Boehmer, Michael Thies, “LargeNsolution of generalized Gross-Neveu model with two coupling constants”, Phys. Rev. D, 80:12 (2009)
Anirban Basu, Anshuman Maharana, “Generalized Gross-Neveu models and chiral symmetry breaking from string theory”, Phys. Rev. D, 75:6 (2007)
K. G. Klimenko, “Massive Gross–Neveu model in the leading order of the 1/N expansion. Allowance for the temperature and the chemical potential”, Theoret. and Math. Phys., 75:2 (1988), 487–493
Citation in format AMSBIB
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