The Batalin-Tyutin formalism on the collective coordinates quantization of the SU(2) Skyrme model

International Journal of Modern Physics A

Volumn 12, Issue 27, 1997, Pages 4895-4905

  Oliveira, Wilson ^a   Neto, Jorge Ananias ^a  

^a FEDERAL UNIVERSITY OF JUIZ DE FORA   (Brazil)

Author keywords

Constraints systems; Skyrme model

Indexed keywords

EID: 0001740978     PISSN: 0217751X     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0217751X97002619     Document Type: Article

References (29)

1. T. H. Skyrme, Proc. Roy. Soc. A260, 127 (1961).
2. P. A. M. Dirac, Proc. Roy. Soc. A257 32 (1960);
3. Lectures on Quantum Mechanics 169 (Yeshiva University Press, New York, 1964);
4. A. Hanson, T. Regge and C. Teitelboim, Constrained Hamiltonian Systems (Academia Nazionale dei Lincei, Roma, 1976);
5. K. Sundermeyer, Constrained Dynamics, Lecture Notes in Physics (Springer, New York, 1982);
6. M. Henneaux and C. Teitelboim, Quantization of Gauge Systems (Princeton University Press, 1992).
7. E. Tomboulis, Phys. Rev. D12, 1678 (1975);
8. J. Goldstone and R. Jackiw, Phys. Rev. D11, 1486 (1975).
9. I. A. Batalin and I. V. Tyutin, Int. J. Mod. Phys. A6, 3255 (1991).
10. H. Verscheide, Nucl. Phys. A500, 573 (1989);
11. Phys. Lett. B215, 444 (1988);
12. A. Toda, Prog. Theor. Phys. 84, 324 (1990).
13. J. Ananias Neto, J. Phys. G21, 695 (1995);
14. Z. Z. Israilov and M. M. Musakhanov, Int. J. Theor. Phys. 30, 1229 (1991);
15. K. Fujii, K. I. Sato, N. Toyota and A. P. Kobushkin, Phys. Rev. Lett. 58, 651 (1987);
16. Phys. Rev. D35, 1896 (1987);
17. B. Moussallam, Ann. Phys. (N.Y.) 225, 264 (1993);
18. B. Moussallam and D. Kalafatis, Phys. Lett. B272, 196 (1991);
19. G. Holzwarth, Phys. Lett. B291, 218 (1992);
20. Nucl. Phys. A572, 69 (1994). These authors have pointed out that a mass shift can improve the usual phenomenology predicted by the Skyrme model.
21. N. Banerjee, S. Ghosh and R. Banerjee, Nucl. Phys. B417, 257 (1994);
22. Y. W. Kim, Y. J. Park, K. Y. Kim and Y. Kim, "Batalin-Tyutin quantization of the self-dual massive theory in three dimensions," preprint SOGANG-HEP 191/94.
23. G. S. Adkins, G. R. Nappi and E. Witten, Nucl. Phys. B228, 552 (1983);
24. G. S. Adkins, Chiral Solitons ed. K.-F. Liu (World Scientific, 1987), p. 99.
25. L. D. Faddeev, Theor. Math. Phys. 1, 1 (1970);
26. P. Senjanovich, Ann. Phys. (N.Y.) 100, 277 (1976).
27. T. D. Lee, Introduction to Field Theory and Particle Physics (Harwood, New York, 1981), p. 476.
28. N. Banerjee, R. Banerjee and S. Ghosh, Ann. Phys. (N.Y.) 241, 237 (1995).
29. J. Barcelos-Neto and W. Oliveira, to appear in Phys. Rev. D. (1997).