A nonlinear gauge-invariant σ-model of a general type on a homogeneous space G/H is reformulated in terms of a composite gauge field. In the approximation under consideration, the one-loop effective action of the model is obtained. It is shown that one can choose the parameters in such a way that the theory is both free from ultraviolet divergences and does not lead to a dynamical generation of a composite boson.
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S. Coleman, J. Wess, and B. Zumino, Phys. Rev.,177, 2239 (1969).
B. L. Voronov and I. V. Tyutin, Yad. Fiz.,33, 1137 (1981).
A. P. Balachandran, A. Stern, and G. Trahern, Phys. Rev.,D19, 2416 (1979).
N. Ohta, Phys. Lett.,134B, 75 (1984).
J. W. Van Holten, Phys. Lett.,135B, 427 (1984).
J. Bagger and E. Witten, Phys. Lett.,118B, 103 (1982).
M. Bando, T. Kuramoto, T. Maskawa, and S. Uehara, Progr. Theor. Phys.,72, 313 (1984).
D. G. Boulware and L. S. Brown, Ann. Phys. (USA),138, 418 (1982).
A. D'Adda, P. Di Vecchia, and M. Lüscher, Nucl. Phys.,B146, 63 (1978);B152, 125 (1979); Phys. Rep.,49, 239 (1979).
E. Gava, R. Jengo, and C. Omero, Phys. Lett.,81B, 187 (1979).
Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 3, pp. 22–25, March, 1988.
In conclusion, the author wants to thank I. V. Tyutin and S. V. Ketov for their attention to this work and useful discussions.
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Lokhvitskii, B.B. Nonlinear sigma-model with a composite gauge field. Soviet Physics Journal 31, 191–194 (1988). https://doi.org/10.1007/BF00898220
- General Type
- Effective Action
- Homogeneous Space
- Gauge Field
- Dynamical Generation