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Teoreticheskaya i Matematicheskaya Fizika, 1986, Volume 66, Number 3, Pages 381–391
(Mi tmf4634)
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This article is cited in 7 scientific papers (total in 7 papers)
Generalization of the Gross–Neveu model to the case of several coupling constants
K. G. Klimenko
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.
Received: 08.02.1985
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
Linking options:
https://www.mathnet.ru/eng/tmf4634 https://www.mathnet.ru/eng/tmf/v66/i3/p381
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Abstract page: | 257 | Full-text PDF : | 119 | References: | 30 | First page: | 1 |
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