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Finite Nilpotent BRST Transformations in Hamiltonian Formulation

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Abstract

We consider the finite field dependent BRST (FFBRST) transformations in the context of Hamiltonian formulation using Batalin-Fradkin-Vilkovisky method. The non-trivial Jacobian of such transformations is calculated in extended phase space. The contribution from Jacobian can be written as exponential of some local functional of fields which can be added to the effective Hamiltonian of the system. Thus, FFBRST in Hamiltonian formulation with extended phase space also connects different effective theories. We establish this result with the help of two explicit examples. We also show that the FFBRST transformations is similar to the canonical transformations in the sector of Lagrange multiplier and its corresponding momenta.

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References

  1. Fradkin, E.S., Vilkovisky, G.: Phys. Lett. B 55, 224 (1975)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  2. Batalin, I.A., Vilkovisky, G.: Phys. Lett. B 69, 309 (1977)

    Article  ADS  Google Scholar 

  3. Batalin, I.A., Fradkin, E.S.: Phys. Lett. B 122, 157 (1983)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  4. Henneaux, M.: Phys. Rep. 126, 1 (1985)

    Article  MathSciNet  ADS  Google Scholar 

  5. Becchi, C., Rouet, A., Stora, R.: Phys. Lett. B 52, 344 (1974)

    Article  ADS  Google Scholar 

  6. Becchi, C., Rouet, A., Stora, R.: Ann. Phys. 98, 287 (1976)

    Article  MathSciNet  ADS  Google Scholar 

  7. Tyutin, I.V.: Lebedev Report N FIAN 39 (1975) (unpublished)

  8. Henneaux, M., Teitelboim, C.: Quantization of Gauge Systems. Princeton Univ. Press, Princeton (1992)

    MATH  Google Scholar 

  9. Gaete, P., Rabello, S.J.: Phys. Rev. D 52, 7205 (1995)

    Article  ADS  Google Scholar 

  10. Barcelos-Neto, J., Gaete, P., Galvao, C.A.P.: Mod. Phys. Lett. A 17, 1597 (1991)

    Article  ADS  Google Scholar 

  11. Gaete, P.: Mod. Phys. Lett. A 17, 319 (2002)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  12. Kim, Y., Park, M., Park, Y., Yoon, S.J.: Int. J. Mod. Phys. A 12, 4217 (1997)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  13. Kim, W., Kim, Y., Park, M., Park, Y.: J. Phys. G 23, 325 (1997)

    Article  ADS  Google Scholar 

  14. Rai, S.K., Mandal, B.P.: Mod. Phys. Lett. A 25, 2281 (2010)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  15. Rai, S.K., Mandal, B.P.: Mod. Phys. Lett. A 26, 913 (2011)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  16. Lavelle, M., McMullan, D.: Phys. Rev. Lett. 71, 3758 (1993)

    Article  ADS  Google Scholar 

  17. Tang, Z., Finkelstein, D.: Phys. Rev. Lett. 73, 3055 (1994)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  18. Yang, H., Lee, B.-H.: J. Math. Phys. 37, 6106 (1996)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  19. Rivelles, V.O.: Class. Quantum Gravity 19, 2525 (2002)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  20. Lahiri, A.: Class. Quantum Gravity 18, 3885 (2001)

    Article  ADS  MATH  Google Scholar 

  21. Joglekar, S.D., Mandal, B.P.: Phys. Rev. D 51, 1919 (1995)

    MathSciNet  ADS  Google Scholar 

  22. Joglekar, S.D., Misra, A.: J. Math. Phys. 41, 1755 (2000)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  23. Joglekar, S.D., Misra, A.: Int. J. Mod. Phys. A 15 (2000)

  24. Joglekar, S.D., Misra, A.: Mod. Phys. Lett. A 14, 2083 (1999)

    Article  ADS  Google Scholar 

  25. Joglekar, S.D., Misra, A.: Mod. Phys. Lett. A 15, 541 (2000)

    Article  ADS  Google Scholar 

  26. Joglekar, S.D.: Mod. Phys. Lett. A 15, 245 (2000)

    Article  MathSciNet  ADS  Google Scholar 

  27. Joglekar, S.D., Mandal, B.P.: Int. J. Mod. Phys. A 17, 1279 (2002)

    Article  ADS  MATH  Google Scholar 

  28. Joglekar, S.D.: Int. J. Mod. Phys. A 16, 5043 (2000)

    Article  ADS  Google Scholar 

  29. Banerjee, R., Mandal, B.P.: Phys. Lett. B 27, 488 (2000)

    MathSciNet  Google Scholar 

  30. Bandhu, R.S., Joglekar, S.D.: J. Phys. A 31, 4217 (1998)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  31. Joglekar, S.D.: Mod. Phys. Lett. A 18, 843 (2003)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  32. Rai, S.K., Mandal, B.P.: Eur. Phys. J. C 63, 323 (2009)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  33. Upadhyay, S., Mandal, B.P.: Europhys. Lett. 93, 31001 (2011)

    Article  ADS  Google Scholar 

  34. Mandal, B.P., Rai, S.K., Upadhyay, S.: Europhys. Lett. 92, 21001 (2010)

    Article  ADS  Google Scholar 

  35. Batalin, I.A., Lavrov, P.M., Tyutin, I.V.: J. Math. Phys. 31, 1487 (1990)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  36. Batalin, I.A., Lavrov, P.M., Tyutin, I.V.: J. Math. Phys. 32, 2513 (1991)

    Article  MathSciNet  ADS  Google Scholar 

  37. Constantinescu, R., Ionescu, C.: Cent. Eur. J. Phys. 7, 711 (2009)

    Article  Google Scholar 

  38. Lavrov, P.M., Moshin, P.Yu.: Theor. Math. Phys. 104, 1098 (1995)

    Article  MathSciNet  MATH  Google Scholar 

  39. Constantinescu, R., Ionescu, C.: Cent. Eur. J. Phys. 4, 511 (2006)

    Article  Google Scholar 

  40. Rothe, H.J., Rothe, K.D.: Ann. Phys. 323, 1384 (2008)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  41. Abreu, E.M.C., Braga, N.R.F., Godinho, C.F.L.: Nucl. Phys. B 524, 779 (1998)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  42. Dirac, P.A.M.: Lectures on Quantum Mechanics. Belfer Graduate School, Yeshiba University Press, New York (1964)

    Google Scholar 

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Acknowledgements

We thankfully acknowledge the financial support from the Department of Science and Technology (DST), Government of India, under the SERC project sanction grant No. SR/S2/HEP-29/2007. One of us (SKR) would also like to thank CSIR, New Delhi for its financial support.

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  1. Department of Physics, Banaras Hindu University, Varanasi, 221005, India

    Sumit Kumar Rai & Bhabani Prasad Mandal

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  1. Sumit Kumar Rai
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  2. Bhabani Prasad Mandal
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Correspondence to Bhabani Prasad Mandal.

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Rai, S.K., Mandal, B.P. Finite Nilpotent BRST Transformations in Hamiltonian Formulation. Int J Theor Phys 52, 3512–3521 (2013). https://doi.org/10.1007/s10773-013-1654-8

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