BRST Symmetry in Constrained Systems



In this chapter, we study a free particle system residing on sphere to investigate its BRST symmetries associated with its Stückelberg coordinates, ghosts and anti-ghosts [48]. We next investigate BRST symmetries of the free particle system residing on the torus. By exploiting zeibein frame on the toric geometry, we evaluate energy spectrum of the system to describe the particle dynamics [56].


Partition Function Class Constraint Ghost Number Unitary Gauge Toric Geometry 
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  1. 23.
    T. Fujiwara, Y. Igarashi, J. Kubo, Nucl. Phys. B 341, 695 (1990)CrossRefADSzbMATHMathSciNetGoogle Scholar
  2. 26.
    Y.W. Kim, S.K. Kim, W.T. Kim, Y.J. Park, K.Y. Kim, Y. Kim, Phys. Rev. D 46, 4574 (1992)CrossRefADSMathSciNetGoogle Scholar
  3. 48.
    S.T. Hong, W.T. Kim, Y.J. Park, Mod. Phys. Lett. A 15, 1915 (2000)CrossRefADSzbMATHMathSciNetGoogle Scholar
  4. 56.
    S.T. Hong, Mod. Phys. Lett. A 20, 1577 (2005)CrossRefADSzbMATHGoogle Scholar
  5. 76.
    C. Becchi, A. Rouet, R. Stora, Phys. Lett. B 52, 344 (1974)CrossRefADSGoogle Scholar
  6. 78.
    I.V. Tyutin, Levedev preprint, LEBEDEV-75-39 (1975)Google Scholar
  7. 79.
    E.S. Fradkin, G.A. Vilkovisky, Phys. Lett. B 55, 224 (1975)CrossRefADSzbMATHMathSciNetGoogle Scholar
  8. 82.
    S. Hamamoto, Prog. Theor. Phys. 95, 441 (1996)CrossRefADSMathSciNetGoogle Scholar
  9. 97.
    S.T. Hong, Mod. Phys. Lett. A 20, 1577 (2005)CrossRefADSzbMATHGoogle Scholar
  10. 139.
    N. Vilenkin, Special Functions and the Theory of Group Representations (American Mathematical Society, Providence, 1968)zbMATHGoogle Scholar
  11. 141.
    L.D. Faddeev, Theor. Math. Phys. 1, 1 (1970)CrossRefMathSciNetGoogle Scholar
  12. 142.
    P. Senjanovich, Ann. Phys. 100, 277 (1976)Google Scholar
  13. 143.
    S.T. Hong, K.D. Rothe, Ann. Phys. 311, 417 (2004)CrossRefADSzbMATHMathSciNetGoogle Scholar

Copyright information

© Springer Science+Business Media Dordrecht 2015

Authors and Affiliations

  1. 1.Science EducationEwha Womans UniversitySeoulRepublic of Korea

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