Integration measure and extended BRST-covariant quantization

Bodo Geyer, Petr Lavrov, Armen Nersessian

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)


We propose an extended BRST-invariant Lagrangian quantization scheme of general gauge theories based on explicit realization of the "modified triplectic algebra" that was announced in our previous investigation (hep-th/0104189). The algebra includes, besides the specific odd operators Va appearing in the triplectic formalism, also the odd operators Ua introduced within modified triplectic quantization and the second-order odd operators Δa. While the operators Va can be viewed as anti-Hamiltonian vector fields generated by a second-rank irreducible Sp(2) tensor, the operators Ua are the anti-Hamiltonian vector fields generated by a Sp(2) scalar. We show that some even supersymplectic structure, defined on the space of fields and antifields, provides the extended BRST path integral with a well-defined integration measure. All the known Lagrangian quantization schemes based on the extended BRST symmetry are obtained by specifying the (free) parameters of that method.

Original languageEnglish
Pages (from-to)1183-1197
Number of pages15
JournalInternational Journal of Modern Physics A
Issue number8
Publication statusPublished - 30 Mar 2002
Externally publishedYes

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Mathematical Physics
  • Nuclear and High Energy Physics

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