Skip to main content
Log in

Hamiltonian BRST-anti-BRST theory

  • Published:
Communications in Mathematical Physics Aims and scope Submit manuscript

Abstract

The hamiltonian BRST-anti-BRST theory is developed in the general case of arbitrary reducible first class systems. This is done by extending the methods of homological perturbation theory, originally based on the use of a single resolution, to the case of a biresolution. The BRST and the anti-BRST generators are shown to exist. The respective links with the ordinary BRST formulation and with thesp(2)-covariant formalism are also established.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Hirsch, G.: Bull. Soc. Math. Bel.6, 79 (1953); Stasheff, J.D.: Trans. Am. Math. Soc.108, 215, 293 (1963); Gugenheim, V.K.A.M.; J. Pure Appl. Alg.25, 197 (1982); Gugenheim, V.K.A.M., May, J.P.: Mem. AMS142 (1974); Gugenheim, V.K.A.M., Stasheff, J.D.: Bull. Soc. Math. Bel.38, 237 (1986); Lambe, L., Stasheff, J.D.: Manus. Math.58, 363 (187); Stasheff, J.D.: Bull. Am. Soc.19, 287 (1988)

    Google Scholar 

  2. Fisch, J., Henneaux, M., Stasheff, J., Teitelboim, C.: Commun. Math. Phys.120, 379 (1989)

    Article  Google Scholar 

  3. Fisch, J.M.L., Henneaux, M.: Commun. Math. Phys.128, 627 (1990)

    Article  Google Scholar 

  4. Henneaux, M., Teitelboim, C.: Commun. Math. Phys.115, 213 (1988)

    Article  Google Scholar 

  5. Dubois-Violette, M.: Ann. Inst Fourier37, 45 (1987)

    Google Scholar 

  6. Henneaux, M., Teitelboim, C.: Quantization of Gauge Systems. Princeton, NJ: Princeton U.P. 1992

    Google Scholar 

  7. Curci, G., Ferrari, R.: Phys. Lett.B68, 91 (1976); Nuovo CimentoA32, 151

    Article  Google Scholar 

  8. Ojima, I.: Prog. Theor. Phys.64, 625 (1980)

    Google Scholar 

  9. Hwang, S.: Nucl. Phys.B231, 386 (1984)

    Article  Google Scholar 

  10. Bonora, L., Tonin, M.: Phys. Lett.B98, 83 (1981)

    Article  Google Scholar 

  11. Bonora, L., Pasti, P., Tonin, M.: J. Math. Phys.23, 83 (1982)

    Article  Google Scholar 

  12. Baulieu, L., Thierry-Mieg, J.: Nucl. Phys.B197, 477 (1982)

    Article  Google Scholar 

  13. Ore, F.R., van Nieuwenhuizen, P.: Nucl. Phys.B204, 317 (1982)

    Article  Google Scholar 

  14. Alvarez-Gaumé, L., Baulieu, L.: Nucl. Phys.B212, 255 (1983)

    Article  Google Scholar 

  15. Hwang, S.: Nucl. Phys.B322, 107 (1989)

    Article  Google Scholar 

  16. McMullan, D.: J. Math. Phys.28, 428 (1987)

    Article  Google Scholar 

  17. Grégoire, P., Henneaux, M.: Phys. Lett.B277, 459 (1992)

    Article  Google Scholar 

  18. Grégoire, P., Henneaux, M.: to appear in J. Phys A. Math. Gen.

  19. Hoyos, J., Quiros, M., Ramirez Mittelbrunn, J., de Urries, F.J.: Nucl. Phys.B 218, 159 (1983)

    Article  Google Scholar 

  20. Spiridonov, V.P.: Nucl. Phys.B308, 257 (1988)

    Article  Google Scholar 

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

    Article  Google Scholar 

  22. Batalin, I.A., Lavrov, P.M., Tyutin, I.V.: J. Math. Phys.32, 532 (1991)

    Article  Google Scholar 

  23. Gomis, J., Roca, J.: Nucl. Phys.B343, 152 (1990)

    Article  Google Scholar 

  24. Dur, E., Gates, Jr. S.J.: Nucl. Phys.B343, 622 (1990)

    Article  Google Scholar 

  25. Hull, C.M., Spence, B., Vasquez-Bello, J.L.: Nucl. Phys.B348, 108 (1991)

    Article  Google Scholar 

  26. Hull, C.M.: Mod. Phys. Lett.A5, 1871 (1990)

    Article  Google Scholar 

  27. Batalin, I.A., Lavrov, P.M., Tyutin, I.V.: J. Math. Phys.31, 6 (1990)

    Article  Google Scholar 

  28. Batalin, I.A., Lavrov, P.M., Tyutin, I.V.: J. Math. Phys.31, 2708 (1990)

    Article  Google Scholar 

  29. Forger, M., Kellendonk, J.: Commun. Math. Phys.143, 235 (1992)

    Article  Google Scholar 

  30. Batalin, I.A., Fradkin, E.S.: Phys. Lett.B122, 157 (1983)

    Article  Google Scholar 

  31. Fradkin, E.S., Vilkovisky, G.A.: CERN Report TH-2332 (1977)

  32. Aratyn, H., Ingermanson, R., Niemi, A.J.: Phys. Lett.B189, 427 (1987); Nucl. Phys.B307, 157 (1988)

    Article  Google Scholar 

  33. Baulieu, L., Siegel, W., Zwiebach, B.: Nucl. Phys.B287, 93 (1987)

    Article  Google Scholar 

  34. Siegel, W., Zwiebach, B.: Nucl. Phys.B288, 332 (1987)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Communicated by R.H. Dijkgraaf

Maître de recherches au Fonds National de la Recherche Scientifique.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Grégoire, P., Henneaux, M. Hamiltonian BRST-anti-BRST theory. Commun.Math. Phys. 157, 279–303 (1993). https://doi.org/10.1007/BF02099761

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02099761

Keywords

Navigation