The canonical structure of generalized non-linear sigma models in constrained hamiltonian formalism

J. Maharana

Annales de l'I.H.P. Physique théorique (1983)

  • Volume: 39, Issue: 2, page 193-209
  • ISSN: 0246-0211

How to cite

top

Maharana, J.. "The canonical structure of generalized non-linear sigma models in constrained hamiltonian formalism." Annales de l'I.H.P. Physique théorique 39.2 (1983): 193-209. <http://eudml.org/doc/76216>.

@article{Maharana1983,
author = {Maharana, J.},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {Grassmann manifolds; Dirac brackets; axial gauge; unitary gauge},
language = {eng},
number = {2},
pages = {193-209},
publisher = {Gauthier-Villars},
title = {The canonical structure of generalized non-linear sigma models in constrained hamiltonian formalism},
url = {http://eudml.org/doc/76216},
volume = {39},
year = {1983},
}

TY - JOUR
AU - Maharana, J.
TI - The canonical structure of generalized non-linear sigma models in constrained hamiltonian formalism
JO - Annales de l'I.H.P. Physique théorique
PY - 1983
PB - Gauthier-Villars
VL - 39
IS - 2
SP - 193
EP - 209
LA - eng
KW - Grassmann manifolds; Dirac brackets; axial gauge; unitary gauge
UR - http://eudml.org/doc/76216
ER -

References

top
  1. [1] K. Pohlmeyer, Commun. Math. Phys., t. 46, 1976, p. 206. Zbl0996.37504MR408535
  2. A.A. Belavin and A.M. Polyakov, JEPT Lett., t. 22, 1975, p. 245. 
  3. H. Eichenherr, Nucl. Phys., t. B 146, 1978, p. 215, and t. B 155, 1979, p. 544. 
  4. [2] M. Lüscher and K. Pohlmeyer, Nucl. Phys., t. B 137, 1978, p. 46. MR496052
  5. E. Brézin, C. Itzykson, J. Zinn-Justin and J.B. Zubber, Phys. Lett., t. 82 B, 1979, p. 442. 
  6. H.J. De Vega, Phys. Lett., t. 87 B, 1979, p. 233. 
  7. A.T. Ogielski, Phys. Rev., t. D 21, 1980, p. 406. MR559654
  8. E. Corrigan and C.K. Zachos, Phys. Lett., t. 88 B, 1979, p. 273. 
  9. T.L. Curtright and C.K. Zachos, Phys. Rev., t. D 21, 1980, p. 3462. MR559655
  10. [3] A.M. Polyakov, Phys. Lett., t. 82 B, 1979, p. 247. Nucl. Phys., t. B 164, 1980, p. 1971. 
  11. [4] L.L. Chau Wang, Talk presented at International School of Subnuclear Physics, Erice, 1980. 
  12. L.L. Chau, M.-L. Ge, Y.-S. Wu, Phys. Rev., t. D 25, 1982, p. 1086, and references therein. 
  13. [5] L. Dolan, Phys. Rev. Lett., t. 47, 1981, p. 1371, and Phys. Lett., t. 113 B, 1982, p. 387. MR633020
  14. B. Hou, M. Ge and Y. Wu, Phys. Rev., t. D 24, 1980, p. 2238. 
  15. [6] P.A.M. Dirac, Can. J. Math., t. 2, 1950, p. 129. Zbl0036.14104MR43724
  16. P.A.M. Dirac, Lectures on Quantum Mechanics, Belfer Graduate School of Science, Yeshiva University, New York, 1969. Zbl1156.01359
  17. An excellent introduction to Dirac formalism can be found in E.C.G. Sudarshan and N. Mukunda, Classical dynamics : a modern perspective, Wiley-Interscience, New York, 1974. Zbl0329.70001
  18. A.J. Hanson, T. Regge and C. Teitelboim, Constraint Hamiltonian system, Accademia Nazionale dei Lincei, Rome, 1976. 
  19. L.D. Faddeev, Theor. Math. Phys., t. 1, 1970, p. 1. 
  20. For application to gauge theories, see R. Marnelius, Introduction to the quantization of general gauge theories, Göteborg preprint, 1981. 
  21. [7] G.A. Vilkovisky, Phys. Lett., t. 55 B, 1975, p. 224. Zbl0967.81532
  22. I.A. Balatin and G.A. Vilkovisky, Phys. Lett., t. 69 B, 1977, p. 309. 
  23. C. Teitelboim, Phys. Rev. Lett., t. 38, 1977, p. 1106. MR432075
  24. E.S. Fradkin and T.E. Fradkina, Phys. Lett., t. 72 B, 1978, p. 343. 
  25. E.S. Fradkin and M.A. Vasiliev, Phys. Lett., t. 72 B, 1978, p. 70. Zbl0967.81505
  26. R. Marnelius, Phys. Lett., t. 99 B, 1981, p. 467, and op. cit. in Ref. 6. MR607298
  27. P. Senjavonic, Ann. Phys., t. 100, 1976, p. 227. 
  28. [8] H. Eichenherr and M. Forger, Nucl. Phys., t. B 156, 1979, p. 381. MR540540
  29. E. Brézin, S. Hikami and J. Zinn Justin, Nucl. Phys., t. B 165, 1980, p. 528. 
  30. M. Dubois-Violette and Y. Georgelin, Phys. Lett., t. 82 B, 1979, p. 251. 
  31. A.J. Mcfarlane, Phys. Lett., t. 82 B, 1979, p. 239. 
  32. R.D. Pisarski, Phys. Rev., t. D 20, 1979, p. 3358. 
  33. [9] E. Brézin et al., op. cit. in Ref. 8. 
  34. [10] Application of Hamiltonian formalism to the CPn-1 model can be found in H.E. Haber, J. Hincliff and E. Ravinovici, Nucl. Phys., t. B 172, 1980, p. 458. Constraint formalism has been applied to the CPn-1 model by E. Gozzi and A. Guha, Canonical structure of the CPn-12 model in some non-covariant gauges, Stony Brook preprint, 1981. 
  35. [11] N.K. Falk and A.C. Hirshfeld, Dortmund preprint DO-TH 82/05, and references therein. 
  36. [12] R. Marnelius op. cit. in Refs. 6 and 7. 
  37. V.N. Popov, preprint CERN TH. 2424, December 1977 (unpublished). 
  38. [13] M. Lüscher, Nucl. Phys., t. B 135, 1978, p. 1. 
  39. [14] Y.Y. Goldschmidt and E. Witten, Phys. Lett., t. 91 B, 1980, p. 392. MR570032
  40. E. Abdella, M.C.B. Abdella and M. Gomes, Phys. Rev., t. D 23, 1981, p. 1800. 
  41. [15] A.A. Slavnov, Saclay preprint DPh, 1978, p. 78-48, (unpublished). 
  42. [16] G. Duerkson, Phys. Rev., t. D 24, 1981, p. 926. 
  43. [17] For Dirac bracket structure of supersymmetric CPn-1 model, see S. Rouhani, Nucl. Phys., t. B 169, 1980, p. 430. 

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.