International Journal of Theoretical Physics

, Volume 48, Issue 4, pp 937–944 | Cite as

Hamiltonian and Path Integral Quantization of the Conformally Gauge-Fixed Polyakov D1 Brane Action in the Presence of a Scalar Dilation Field

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Abstract

The conformally gauge-fixed Polyakov D1 brane action in the presence of a scalar dilaton field is seen to be a constrained system in the sense of Dirac. In the present work we study its Hamiltonian and path integral quantization in the instant-form of dynamics using the equal world-sheet time framework.

Keywords

Dirac quantization Hamiltonian quantization Path integral quantization D-brane actions Polyakov action 
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References

  1. 1.
    Luest, D., Theisen, S.: Lectures in String Theory. Lecture Notes in Physics, vol. 346. Springer, Berlin (1989) Google Scholar
  2. 2.
    Brink, L., Henneaux, M.: Principles of String Theory. Plenum Press, New York (1988) Google Scholar
  3. 3.
    Johnson, C.V.: D-brane primer. arXiv:hep-th/0007170 (2000)
  4. 4.
    Aganagic, M., Park, J., Popescu, C., Schwarz, J.: Nucl. Phys. B 496, 215–230 (1997). arXiv:hep-th/9702133 MATHCrossRefMathSciNetGoogle Scholar
  5. 5.
    Abou Zeid, M., Hull, C.M.: Phys. Lett. B 404, 264–270 (1997). arXiv:hep-th/9704021 CrossRefADSMathSciNetGoogle Scholar
  6. 6.
    Schmidhuber, C.: Nucl. Phys. B 467, 146 (1996) MATHCrossRefADSMathSciNetGoogle Scholar
  7. 7.
    de Alwis, S.P., Sato, K.: Phys. Rev. D 53, 7187 (1996) CrossRefADSMathSciNetGoogle Scholar
  8. 8.
    Tseytlin, A.A.: Nucl. Phys. 469, 51 (1996) MATHCrossRefADSMathSciNetGoogle Scholar
  9. 9.
    Kulshreshtha, U., Kulshreshtha, D.S.: Phys. Lett. B 555, 255–263 (2003) MATHCrossRefADSMathSciNetGoogle Scholar
  10. 10.
    Kulshreshtha, U., Kulshreshtha, D.S.: Eur. Phys. J. C 29, 453–461 (2003) MATHCrossRefADSGoogle Scholar
  11. 11.
    Kulshreshtha, U., Kulshreshtha, D.S.: Int. J. Theor. Phys. 44, 587–603 (2005) MATHCrossRefMathSciNetGoogle Scholar
  12. 12.
    Kulshreshtha, U., Kulshreshtha, D.S.: Int. J. Theor. Phys. 43, 2355–2369 (2004) MATHCrossRefMathSciNetGoogle Scholar
  13. 13.
    Dirac, P.A.M.: Can. J. Math. 2, 129 (1950) MATHMathSciNetGoogle Scholar
  14. 14.
    Gitman, D.M., Tyutin, I.V.: Quantization of Fields with Constraints. Springer, Berlin (1990) MATHGoogle Scholar
  15. 15.
    Senjanovic, P.: Ann. Phys. (N.Y.) 100, 227–281 (1976) CrossRefADSGoogle Scholar
  16. 16.
    Kulshreshtha, U.: Phys. Scr. 75, 795–802 (2007) MATHCrossRefADSMathSciNetGoogle Scholar
  17. 17.
    Kulshreshtha, U.: Mod. Phys. Lett. A 22, 2993–3001 (2007) MATHCrossRefADSMathSciNetGoogle Scholar
  18. 18.
    Kulshreshtha, U.: Phys. Scr. 75, 795–802 (2007) MATHCrossRefADSMathSciNetGoogle Scholar
  19. 19.
    Kulshreshtha, U., Kulshreshtha, D.S.: Int. J. Mod. Phys. A 22, 6183–6201 (2007) MATHCrossRefADSMathSciNetGoogle Scholar
  20. 20.
    Dirac, P.A.M.: Rev. Mod. Phys. 21, 392 (1949) MATHCrossRefADSMathSciNetGoogle Scholar
  21. 21.
    Brodsky, S.J., Pauli, H.C., Pinsky, S.S.: Phys. Rep. 301, 299 (1998) CrossRefMathSciNetGoogle Scholar
  22. 22.
    Kulshreshtha, U.: Int. J. Theor. Phys. 41, 273 (2002) MATHCrossRefMathSciNetGoogle Scholar
  23. 23.
    Kulshreshtha, U.: Int. J. Theor. Phys. 46, 2516–2530 (2007) MATHCrossRefMathSciNetGoogle Scholar
  24. 24.
    Maharana, J.: Phys. Lett. B 128, 411 (1983) CrossRefADSGoogle Scholar
  25. 25.
    Sheikh-Jabbari, M.M., Shirzad, A.: Eur. Phys. J. C 19, 383 (2001). arXiv:hep-th/9907055 MATHCrossRefADSMathSciNetGoogle Scholar

Copyright information

© Springer Science+Business Media, LLC 2008

Authors and Affiliations

  1. 1.Department of PhysicsUniversity of KaiserslauternKaiserslauternGermany
  2. 2.Department of Physics, Kirori Mal CollegeUniversity of DelhiDelhiIndia
  3. 3.Department of Physics and AstrophysicsUniversity of DelhiDelhiIndia

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