Abstract
On the basis of an effective potential for quarks and gluons, for models with fourfermion interaction, stability is examined both with and without vector fields (gluons). The stability conditions relate the main characteristics of four-quark models with quark and gluon condensates.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
Literature cited
S. Coleman and E. Witten, Phys. Rev. Lett.,45, 100–103 (1980).
Y. Nambu and G. Jona-Lasinio, Phys. Rev.,122, 345 (1961).
Y. Nambu, U. Chicago Preprint EFI 90-37 (1990).
M. Volkov, Ann. Phys. (N.Y.),157, 282 (1984).
A. Dhar, R. Shankar, and S. Wadia, Phys. Rev. D,31, 3256 (1985).
E. Ebert and H. Reinhardt, Nucl. Phys. B,271, 188 (1986).
U.-G. Mei and V. Barnard, Comm. Nucl. Part. Phys.,19, 67 (1989).
Yu. L. Kalinovsky, L. Kaschluhn, and V. N. Pervushin, Phys. Lett. B,231, 288 (1989).
M. Wakamatsu, Ann. Phys. (N.Y.),193, 287 (1989).
A. A. Andrianov, V. A. Andrianov, V. Yu. Novozhilov, and Yu. V. Novozhilov, Lett. Math. Phys.,11, 217 (1986).
V. A. Miransky and V. P. Gusynin, Prog. Theor. Phys.,81, 426 (1989).
A. A. Andrianov and L. Bonora, Nucl. Phys., B,223, 232, 247 (1984).
W. Bardeen, C. Hill, and M. Lindner, Phys. Rev. D,41, 1647 (1990).
C. G. Collan, S. Coleman, Jr., and R. Jackiw, Ann. Phys. (N.Y.),59, 42 (1970).
A. A. Andrianov, V. A. Andrianov, V. Yu. Novozhilov, and Yu. V. Novozhilov, Phys. Lett. B,186, 401 (1987).
Additional information
Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 189, pp. 3–9, 1991.
Rights and permissions
About this article
Cite this article
Andrianov, A.A., Andrianov, V.A. Stability of models with four-fermion interaction in the presence of vector fields. J Math Sci 62, 2943–2946 (1992). https://doi.org/10.1007/BF01097492
Issue Date:
DOI: https://doi.org/10.1007/BF01097492