Abstract
The construction of appropriate jet space coordinates for calculating local BRST cohomology groups is discussed. The relation to tensor calculus is briefly reviewed too.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Becchi, C., Rouet, A. and Stora, R.: The Abelian Higgs-Kibble model. Unitarity of the S operator, Phys. Lett. B 52 (1974), 344-346.
Becchi, C., Rouet, A. and Stora, R.: Renormalization of the Abelian Higgs-Kibble model, Comm. Math. Phys. 42 (1975), 127-162.
Becchi, C., Rouet, A. and Stora, R.: Renormalization of gauge theories, Ann. Phys. 98 (1976), 287-321.
Tyutin, I. V.: Gauge invariance in field theory and statistical physics in operator formalism, preprint LEBEDEV-75-39 (unpublished).
Zinn-Justin, J.: Renormalization of gauge theories, In: H. Rollnik and K. Dietz (eds), Trends in Elementary Particle Physics, Lectures Notes in Phys. 37, Springer-Verlag, Berlin, 1975, pp. 2-39.
Batalin, I. A. and Vilkovisky, G. A.: Gauge algebra and quantization, Phys. Lett. 102B (1981), 27-31.
Batalin, I. A. and Vilkovisky, G. A.: “Quantization of gauge theories with linearly dependent generators, Phys. Rev. D 28 (1983), 2567-2582; Erratum: Phys. Rev. D 30 (1984), 508.
Henneaux, M. and Teitelboim, C.: Quantization of Gauge Systems, Princeton Univ. Press, Princeton, 1992.
Gomis, J., París, J. and Samuel, S.: Antibracket, antifields and gauge theory quantization, Phys. Rept. 259 (1995), 1-45 [hep-th/9412228].
Brandt, F., Henneaux, M. and Wilch, A.: Extended antifield formalism, Nuclear Phys. B 510 (1998), 640-656 [hep-th/9705007].
Henneaux, M.: On the algebraic structure of the BRST symmetry, In: H. C. Lee (ed), Physics, Geometry, and Topology (Banff, 1989), Plenum Press, New York, 1990, pp. 81-104.
Brandt, F.: in preparation (lecture notes).
Barnich, G., Brandt, F. and Henneaux, M.: Local BRST cohomology in gauge theories, Phys. Rept. 338 (2000), 439-569 [hep-th/0002245].
Henneaux, M. and Knaepen, B.: The Wess-Zumino consistency condition for p-form gauge theories, Nuclear Phys. B 548 (1999), 491-526 [hep-th/9812140].
Dragon, N.: BRS Symmetry and Cohomology, hep-th/9602163.
Brandt, F.: Local BRST cohomology and covariance, Comm. Math. Phys. 190 (1997), 459-489 [hep-th/9604025].
Brandt, F.: Gauge covariant algebras and local BRST cohomology, Contemp. Math. 219 (1999), 53-67 [hep-th/9711171].
Hilton, P. J. and Stammbach, U.: A Course in Homological Algebra, Springer-Verlag, Berlin, 1997.
Barnich, G., Brandt, F. and Henneaux, M.: Local BRST cohomology in Einstein Yang-Mills theory, Nuclear Phys. B 455 (1995), 357-408 [hep-th/9505173].
Barnich, G., Brandt, F. and Henneaux, M.: Local BRST cohomology in the antifield formalism: I. General theorems, Comm. Math. Phys. 174 (1995), 57-91 [hep-th/9405109].
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Brandt, F. Jet Coordinates for Local BRST Cohomology. Letters in Mathematical Physics 55, 149–159 (2001). https://doi.org/10.1023/A:1010917617033
Issue Date:
DOI: https://doi.org/10.1023/A:1010917617033