The canonical structure of the supersymmetric non-linear σ model in the constrained hamiltonian formalism

J. Maharana

Annales de l'I.H.P. Physique théorique (1986)

  • Volume: 45, Issue: 3, page 231-247
  • ISSN: 0246-0211

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Maharana, J.. "The canonical structure of the supersymmetric non-linear σ model in the constrained hamiltonian formalism." Annales de l'I.H.P. Physique théorique 45.3 (1986): 231-247. <http://eudml.org/doc/76336>.

@article{Maharana1986,
author = {Maharana, J.},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {supersymmetric nonlinear -model; constraint Hamiltonian formalism; Dirac brackets; axial gauge},
language = {eng},
number = {3},
pages = {231-247},
publisher = {Gauthier-Villars},
title = {The canonical structure of the supersymmetric non-linear σ model in the constrained hamiltonian formalism},
url = {http://eudml.org/doc/76336},
volume = {45},
year = {1986},
}

TY - JOUR
AU - Maharana, J.
TI - The canonical structure of the supersymmetric non-linear σ model in the constrained hamiltonian formalism
JO - Annales de l'I.H.P. Physique théorique
PY - 1986
PB - Gauthier-Villars
VL - 45
IS - 3
SP - 231
EP - 247
LA - eng
KW - supersymmetric nonlinear -model; constraint Hamiltonian formalism; Dirac brackets; axial gauge
UR - http://eudml.org/doc/76336
ER -

References

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  1. [1] J. Maharana, Ann. Inst. H. Poincaré, t. 39, 1983, p. 193. Zbl0518.58021MR722685
  2. [2] K. Pohlmeyer, Comm. Math. Phys., t. 46, 1976, p. 206; A.A. Belavin and A.M. Polyakov, JETP Lett., t. 22, 1975, p. 245; H. Eichenherr, Nucl. Phys., t. B 146, 1978, p. 215 ; t. B 155, 1979, p. 544. MR408535
  3. [3] M. Luscher and K. Pohlmeyer, Nucl. Phys., t. B 137, 1978, p. 46; E. BRÉZIN, C. ITZYKSON, J. ZINN-JUSTIN and J. B. ZUBER, Phys. Lett., t. 82 B, 1979, p. 442 ; H.J. De Vega, Phys. Lett., t. 87 B, 1979, p. 233 ; A.T. Ogielski, Phys. Rev., t. D 21, 1980, p. 406; MR496052
  4. E. Corrigan and C.K. Zachos, Phys. Lett., t. 88 B, 1979, p. 273 ; T.L. Curtright and C.K. Zachos, Phys. Rev., t. D 21, 1980, p. 273 ; J.F. Schonfeld, Nucl. Phys., t. B 169, 1980, p. 49 ; Z. Popovicz and L.-L. Chau Wang, Phys. Lett., t. 98 B, 1981, p. 253. 
  5. [4] A.C. Davis, A.J. Macfarlane and J.W. Van Holten, Nucl. Phys., t. B 218, 1983, p. 191 and references therein; J.W. Van Holten, Wuppertal Preprint, WUB83-23, 1983. 
  6. [5] W. Buchmüller, R.D. Peccei and T. Yanagita, Nucl. Phys., t. B 227, 1983, p. 503 ; C.L. Ong, Phys. Rev., t. D 27, 1983, p. 911. 
  7. [6] E. Witten, Phys. Rev., t. D 16, 1977, p. 2991 ; P. Di Vecchia and S. Ferrara, Nucl. Phys., t. B 130, 1979, p. 93 ; B. Zumino, Phys. Lett., t. 87 B, 1979, p. 203 ; A. D'Adda, P. Di Vecchia and M. Lüscher, Nucl. Phys., t. B 152, 1979, p. 128; S. Aoyama, Nuovo Cimento, t. 57, 1980, p. 176; G. Duerksen, Phys. Rev., t. D 24, 1981, p. 926. 
  8. [7] S. Rouhani, Nucl. Phys., t. B 169, 1980, p. 430; A.C. Davis, A.J. Macfarlane and J.M. Van Holten, Nucl. Phys., t. B 232, 1984, p. 4731 ; J.W. Van Holten, Nucl. Phys., t. B 242, 1984, p. 307. MR581448
  9. [8] S. Ferrara, Lett. Nuovo Cimento, t. 13, 1975, p. 629. MR446220
  10. [9] P.A.M. Dirac, Can. J. Math., t. 2, 1950, p. 129; P.A.M. Dirac, Lectures on Quantum Mechanics, Belfer Graduate School of A. J. Hanson, T. Regge and C. Teitelboim, Constraint Hamiltonian System, Accademia Nazionale dei Lincei, Rome, 1976; E.C.G. Sudarshan and N. Mukunda, Classical Dynamics: A Modern Perspective, Wiley-Interscience, New York, 1974 ; L.D. Faddeev, Theor. Math. Phys., t. 1, 1970, p. 1. MR43724
  11. [10] L.D. Faddeev and A. Slavnov, Gauge Fields: Introduction to Quantum Theory, Benjamin-Cummings, 1980, London. Zbl0486.53052MR618649
  12. [12] See: T.L. Curtright and C.K. Zachos, Phys. Rev., t. D 21, 1980, p. 273. MR559655
  13. [12] We follow closely our earlier work: J. Maharana, Lett. Math. Phys., t. 8, 1984, p. 289 ; See also: J. Maharana, in Proc. of 1985, Marcel Grossmann Meeting, ed. R. Ruffini, North Holland Pub. 
  14. [13] H.J. De Vega, Lectures at Winter School on Common Trends in Field Theory and Condensed Matter Physics, Panchgani, 1985, and references therein. 
  15. [14] D. Altschuler and H.P. Nilles, Phys. Lett., t. 154 B, 1985, p. 135 ; D. Friedan, Z. Qiu and S. Shenker, Phys. Lett., t. 151 B, 1985, p. 37 ; S. Jain, R. Shankar and S. Wadia, Phys. Rev., t. D 32, 1985, p. 2713 ; D. Nemeschansky and S. Yankielowicz, Phys. Rev. Lett., t. 54, 1985, p. 62; A. Sen, Talk presented at the Workshop on Unified String Theories, Santa Barbara, SLAC-PUB-3794, 1985 and references therein. 
  16. [15] J. Barcelos-Neto, A. Das and J. Maharana, Rochester Preprint UR924, 1985. 
  17. [16] R. Casalbuoni, Nuovo Cimento, t. 33 A, 1976, p. 115. For field theoretic generalizations, see: Canonical Structure and Quantization of Grassmann variables, J. MAHARANA (to be published). 

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