Abstract
Within the field strength approach to Yang-Mills theories the fermionic sectors of gauge theories are bosonized for the SU(2) and SU(3) gauge group. The emerging effective meson theories are studied in the tree approximation. In this approximation the original minimal gauge coupling of the quarks to gluons is rendered into an effective local four-fermion interaction with non-trivial Lorentz and gauge structure. The Schwinger-Dyson equation is solved in the strong coupling limit and the quark condensates and constituent masses are evaluated.
Similar content being viewed by others
References
Miransky, V.A., Tanabashi, M., Yamawaki, K.: Mod. Phys. Lett. A4, 1043 (1989); Phys. Lett. B221, 177 (1991) Bardeen, W.A., Hill, C.T., Lindner, M.: Phys. Rev. D41, 1647 (1990)
Halpern, M.B.: Phys. Rev. D16, 1798, 3515 (1977)
Schaden, M., Reinhardt, H., Amundsen, P., Lavelle, M.: Nucl. Phys. B339, 595 (1990)
Reinhardt, H.: Phys. Lett. B248, 365 (1990)
Reinhardt, H.: Field Strength Approach to QCD. Invited talk presented at the X. International Seminar on High-Energy Physics Problems, Relativistic Nuclear Physics and Quantum Chromodynamics, Dubna, September 24–29 1990 (University of Tübingen, Preprint)
Nambu, Y., Jona-Lasinio, G.: Phys. Rev.122, 345 (1961);124, 246 (1961)
Reinhardt, H.: Phys. Lett. B257, 375 (1991)
Reinhardt, H.: University of Tübingen Preprint (June 1991); Nucl. Phys. B (submitted)
Derrick, G.H.: J. Math Phys.5 1252 (1964)
't Hooft, G.: Phys. Rev. D14, 3432 (1976)
Alkofer, R., Reinhardt, H.: J. Phys. G17, L121 (1991)
Ebert, D., Reinhardt, H.: Nucl. Phys. B271, 188 (1986); Reinhardt, H., Alkofer, R.: Phys. Lett. B207, 482 (1988); Alkofer, R., Reinhardt, H.: Z. Phys. C — Particles and Fields45 245 (1989)
Novikov, V.A., Shifman, M.A., Vainshtein, A.I., Zakharov, V.I.: Phys. Rep.116, 103 (1984)
Gusynin, V.P., Miranski, V.A.: Phys. Lett. B198, 79 (1987)
Langfeld, K., Schaden, M.: TU München, Preprint
Ynduráin, F.J.: Quantum chromodynamics. Berlin, Heidelberg, New York: Springer 1983
Narison, S.: Riv. Nuovo Cimento10, 1 (1987)
Reinhardt, H.: Phys. Lett B244, 316 (1990)
Author information
Authors and Affiliations
Additional information
Supported in part by the Deutsche Forschungsgemeinschaft (DFG) under contract Re 856/1-1
Rights and permissions
About this article
Cite this article
Alkofer, R., Reinhardt, H. Fermion condensation in the field strength approach to non-abelian yang-mills theories. Z. Physik A - Hadrons and Nuclei 343, 79–101 (1992). https://doi.org/10.1007/BF01291601
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01291601