Abstract
Within the framework of quantum chromodynamics in the limit of infinitely strong coupling a field-theoretic justification is given for the phenomenological model of dominance of anomalies of quark loops (the DAQL model) which successfully descrbides interaction process at low meson energies of the meson Jp=0+, 0−, 1− and 1+.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
Literature cited
A. N. Ivanov and V. M. Shekhter, Yad. Fiz.,31, 530 (1980);32, 796; A. N. Ivanov, Yad. Fiz.,32, 1687 (1980).
A. N. Ivanov, Yad. Fiz.,33, 1679 (1981).
A. N. Ivanov and N. I. Troitskaya, Yad. Fiz.,36, 220 (1982).
A. N. Ivanov and N. I. Troitskaya, Yad. Fiz.,36, 494 (1982).
R. V. Dzhakiv, in: Lecture on the Algebra of, Currents [in Russian], Lecture No. 2, Ch. VI, Atomizdat (1977).
M. Bander, Phys. Rep.,75C, 206 (1981).
R. Acharya: and P. Narayana-Swamy, Phys. Rev.,D26, 2797 (1982).
Y. Nambu and G. Jona-Lasinio, Phys. Rev.,122, 345 (1961); J. Goldstone et al., Phys. Rev.,127, 965 (1962).
R. Acharya and P. Narayana-Swamy, Phys. Rev.,D26, 956 (1982).
H. Pagels and E. Jomboulis, Nucl. Phys.,B143, 485 (1978).
L. D. Faddeev and V. N. Popov, Phys. Lett.,25B, 30 (1967).
J. Eguchi, Phys. Rev.,17, 611 (1978); M. K. Volkov and D. V. Kreopalov, Teor. Mat. Fiz.,57, 21 (1983); M. K. Volkov and D. Ebert, Yad. Fiz.,36, 1265 (1982).
M. Halpern, Phys. Rev.,D16, 1798 (1977).
J. Amati, Preprint, CERN (1973).
N. N. Bogolyubov and D. V. Shirkov, Introduction to the Theory of Quantum Fields [in Russian], Nauka, Moscow (1973).
T. Appelguist and J. Carrazone, Phys. Rev.,D11, 2856 (1975).
A. N. Ivanov and N. I. Troitskaya, J. Sov. Math.,30, No. 4 (1985). Problems in Quantum Field Theory and Statistical Physics, Vol. 4 [in Russian], Leningrad, 1983, p. 47.
A. N. Ivanov and V. M. Shekhter, Yad. Fiz.,18, 630 (1973); A. N. Ivanov, Yad. Fiz.,18, 1283 (1973).
S. L. Adler, Phys. Rev.,177, 2426 (1969); J. S. Bell and R. Jackiw, Nuovo Cim.,60A, 47 (1969).
C. t'Hooft and M. Veltman, Nucl. Phys., B44, 189 (1972); S. Gottlieb and J. T. Donohue, Phys. Rev.,20, 3378 (1979); M. Bhanowitz, M. Furman, and I. Hinchliffe, Nucl. Phys.,B159, 225 (1979).
Particle Data Group Phys. Lett.,111B, 1 (1982).
M. M. Nagels, et al., Nucl. Phys.,B147, 189 (1979).
S. Gasiorowicz and D. A. Geffen, Rev. Mod. Phys.,41, 531 (1969).
S. Okuto, Phys. Lett.,5, 165 (1963); G. Zweig, CERNNH-412 (1964); J. Iisuka, Progr. Theor. Phys.,37–38, 21 (1966).
K. A. Milton, et al., Phys. Rev.,25, 1718 (1982); Phys. Rev.,27, 1348 (1983).
S. Weinberg, Phys. Rev.,11, 3583 (1975).
Li Ling-Fong and J. F. Willemsen, Phys. Rev.,10, 4087 (1974).
K. Fukikawa, Phys. Rev.,21, 2848 (1980); D. W. McKay and B. L. Young, Phys. Rev.,28, 1039 (1983).
S. L. Glashow, Nucl. Phys.,22, 579 (1961); S. Weinberg, Phys. Rev. Lett.,19, 1264 (1967); A. Salam, Proc. Eighth Nobel Symposium, Stockholm 1968, ed. N. Svarholm, p. 367.
Additional information
Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Institute im. V. A. Steklova AN SSSR, Vol. 145, pp. 86–108, 1985.
Rights and permissions
About this article
Cite this article
Ivanov, A.N., Troitskaya, N.I. Limit of infinitely strong coupling in quantum chromodynamics and the model of dominance of anomalies of quark loops (the DAQL model). J Math Sci 35, 2613–2626 (1986). https://doi.org/10.1007/BF01083767
Issue Date:
DOI: https://doi.org/10.1007/BF01083767