Integration measure and extended BRST-covariant quantization

Bodo Geyer, Petr Lavrov, Armen Nersessian

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

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
Volume17
Issue number8
DOIs
Publication statusPublished - 30 Mar 2002
Externally publishedYes

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Quantization
operators
Operator
Odd
Vector Field
algebra
Algebra
Curvilinear integral
Gauge Theory
Well-defined
gauge theory
Tensor
Scalar
tensors
scalars
formalism
Symmetry
Invariant
symmetry

ASJC Scopus subject areas

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

Cite this

Integration measure and extended BRST-covariant quantization. / Geyer, Bodo; Lavrov, Petr; Nersessian, Armen.

In: International Journal of Modern Physics A, Vol. 17, No. 8, 30.03.2002, p. 1183-1197.

Research output: Contribution to journalArticle

Geyer, Bodo ; Lavrov, Petr ; Nersessian, Armen. / Integration measure and extended BRST-covariant quantization. In: International Journal of Modern Physics A. 2002 ; Vol. 17, No. 8. pp. 1183-1197.
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