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Number of results

Journal

2012 | 10 | 1 | 61-65

Article title

Explicit construction of the classical BRST charge for nonlinear algebras

Content

Title variants

Languages of publication

EN

Abstracts

EN
We give an explicit formula for the Becchi-Rouet-Stora-Tyutin (BRST) charge associated with Poisson superalgebras. To this end, we split the master equation for the BRST charge into a pair of equations such that one of themis equivalent to the original one and find a solution to this equation. The solution possesses a graphical representation in terms of diagrams.

Keywords

Publisher

Journal

Year

Volume

10

Issue

1

Pages

61-65

Physical description

Dates

published
1 - 2 - 2012
online
3 - 12 - 2011

Contributors

  • Kuban State Technological University, 2 Moskovskaya Street, Krasnodar, 350072, Russia

References

  • [1] C. Becchi, A. Rouet, R. Stora, Commun. Math. Phys. 42, 127 (1975) http://dx.doi.org/10.1007/BF01614158[Crossref]
  • [2] I. V. Tyutin, Preprint No. 39 (Lebedev Physics Institute, Moscow, Russia, 1975)
  • [3] D. M. Gitman, I. V. Tyutin, Quantization of fields with constraints (Springer-Verlag, Berlin Heidelberg, 1990) http://dx.doi.org/10.1007/978-3-642-83938-2[Crossref]
  • [4] M. Henneaux, C. Teitelboim, Quantization of gauge systems (Princeton Univ. Press, Princeton, USA, 1992)
  • [5] E. S. Fradkin, T. E. Fradkina, Phys. Lett. 72B, 343 (1978)
  • [6] K. Schoutens, A. Sevrin, P. van Nieuwenhuizen, Commun. Math. Phys. 124, 87 (1989) http://dx.doi.org/10.1007/BF01218470[Crossref]
  • [7] A. Dresse, M. Henneaux, J. Math. Phys. 35, 1334 (1994) http://dx.doi.org/10.1063/1.530592[Crossref]
  • [8] I. L. Buchbinder, P. M. Lavrov, J. Math. Phys. 48, 082306 (2007) http://dx.doi.org/10.1063/1.2767537[Crossref]
  • [9] M. Asorey, P. M. Lavrov, O. V. Radchenko, A. Sugamoto, Int. J. Mod. Phys. A 24, 5033 (2009) http://dx.doi.org/10.1142/S0217751X09046047[Crossref]
  • [10] M. Henneaux, Phys. Rep. 126, 1 (1985) http://dx.doi.org/10.1016/0370-1573(85)90103-6[Crossref]
  • [11] I. A. Batalin, P. M. Lavrov, I. V. Tyutin, J. Math. Phys. 31, 6 (1990) http://dx.doi.org/10.1063/1.528828[Crossref]
  • [12] I. A. Batalin, I. V. Tyutin, Int. J. Mod. Phys. A 6, 3255 (1991) http://dx.doi.org/10.1142/S0217751X91001581[Crossref]

Document Type

Publication order reference

Identifiers

YADDA identifier

bwmeta1.element.-psjd-doi-10_2478_s11534-011-0088-2
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