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Field dependent nilpotent symmetry for gauge theories

  • Sudhaker Upadhyay
  • Bhabani Prasad MandalEmail author
Regular Article - Theoretical Physics

Abstract

We construct the field dependent mixed BRST (combination of BRST and anti-BRST) transformations for pure gauge theories. These are shown to be an exact nilpotent symmetry of the effective action as well as the generating functional for certain choices of the field dependent parameters. We show that the Jacobian contributions for path integral measure in the definition of generating functional arising from BRST and anti-BRST part compensate each other. The field dependent mixed BRST transformations are also considered in the field/antifield formulation to show that the solutions of quantum master equation remain invariant under these. Our results are supported by several explicit examples.

Keywords

Effective Action Symmetry Transformation BRST Transformation Quantum Master Equation BRST Symmetry 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Notes

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.

References

  1. 1.
    C. Becchi, A. Rouet, R. Stora, Ann. Phys. 98, 287 (1974) MathSciNetADSGoogle Scholar
  2. 2.
    I.V. Tyutin, LEBEDEV (1975) 75-39 Google Scholar
  3. 3.
    M. Henneaux, C. Teitelboim, Quantization of Gauge Systems (Princeton Univ. Press, Princeton, 1992) zbMATHGoogle Scholar
  4. 4.
    S. Weinberg, The Quantum Theory of Fields, Modern Applications, vol. II (Cambridge Univ. Press, Cambridge, 1996) Google Scholar
  5. 5.
    M. Chaichian, N.F. Nelipa, Introduction to Gauge Field Theories (Springer, Berlin, 1984) CrossRefGoogle Scholar
  6. 6.
    L. Bonora, M. Tonin, Phys. Lett. B 98, 83 (1981) MathSciNetCrossRefGoogle Scholar
  7. 7.
    L. Alvarez-Gaume, L. Baulieu, Nucl. Phys. B 212, 255 (1982) ADSCrossRefGoogle Scholar
  8. 8.
    S.D. Joglekar, B.P. Mandal, Phys. Rev. D 51, 1919 (1995) MathSciNetADSCrossRefGoogle Scholar
  9. 9.
    S. Upadhyay, S.K. Rai, B.P. Mandal, J. Math. Phys. 52, 022301 (2011) MathSciNetADSCrossRefGoogle Scholar
  10. 10.
    S.K. Rai, B.P. Mandal, Eur. Phys. J., C 63, 323 (2009) MathSciNetADSzbMATHCrossRefGoogle Scholar
  11. 11.
    S.D. Joglekar, B.P. Mandal, Int. J. Mod. Phys. A 17, 1279 (2002) ADSzbMATHCrossRefGoogle Scholar
  12. 12.
    R. Banerjee, B.P. Mandal, Phys. Lett. B 27, 488 (2000) MathSciNetGoogle Scholar
  13. 13.
    S. Upadhyay, B.P. Mandal, Mod. Phys. Lett. A 40, 3347 (2010) MathSciNetADSCrossRefGoogle Scholar
  14. 14.
    B.P. Mandal, S.K. Rai, S. Upadhyay, Europhys. Lett. 92, 21001 (2010) ADSCrossRefGoogle Scholar
  15. 15.
    S. Upadhyay, B.P. Mandal, Europhys. Lett. 93, 31001 (2011) ADSCrossRefGoogle Scholar
  16. 16.
    S. Upadhyay, B.P. Mandal, in preparation Google Scholar
  17. 17.
    P.P. Srivastva, Phys. Rev. Lett. 63 2791 (1989) ADSCrossRefGoogle Scholar
  18. 18.
    P.P. Srivastva, Phys. Lett. B 234, 93 (1990) ADSCrossRefGoogle Scholar
  19. 19.
    S. Upadhyay, B.P. Mandal, Eur. Phys. J., C 71, 1759 (2011) ADSCrossRefGoogle Scholar
  20. 20.
    N. Marcus, J. Schwarz, Phys. Lett. B 115, 111 (1982) MathSciNetADSCrossRefGoogle Scholar
  21. 21.
    G. Aldazabal, L.E. Ibanez, F. Quevedo, J. High Energy Phys. 02, 015 (2000) MathSciNetADSCrossRefGoogle Scholar
  22. 22.
    X.G. Wen, Phys. Rev. Lett. 64 2206 (1990) ADSCrossRefGoogle Scholar
  23. 23.
    G. Curci, R. Ferrari, Nuovo Cimento Soc. Ital. Fis. A 32, 151 (1976) ADSCrossRefGoogle Scholar
  24. 24.
    G. Curci, R. Ferrari, Nuovo Cimento Soc. Ital. Fis. A 35, 1 (1976) ADSCrossRefGoogle Scholar
  25. 25.
    G. Curci, R. Ferrari, Nuovo Cimento Soc. Ital. Fis. A 47, 555 (1978) ADSCrossRefGoogle Scholar
  26. 26.
    R. Delbourgo, P.D. Jarvis, J. Phys. A 15, 611 (1982) MathSciNetADSCrossRefGoogle Scholar
  27. 27.
    I.A. Batalin, G.A. Vilkovisky, Phys. Rev. D 28, 2567 (1983); Erratum ibid D 30 (1984) 508 MathSciNetADSCrossRefGoogle Scholar
  28. 28.
    I.A. Batalin, G.A. Vilkovisky, Phys. Lett. B 120, 166 (1983) ADSCrossRefGoogle Scholar
  29. 29.
    S. Upadhyay, B.P. Mandal, AIP Conf. Proc. 1444, 213 (2012) ADSCrossRefGoogle Scholar

Copyright information

© Springer-Verlag / Società Italiana di Fisica 2012

Authors and Affiliations

  1. 1.Department of PhysicsBanaras Hindu UniversityVaranasiIndia

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