I. A. Batalin, R. Marnelius, “General quantum antibrackets”, TMF, 120:3 (1999), 358–379; Theoret. and Math. Phys., 120:3 (1999), 1115

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Teoreticheskaya i Matematicheskaya Fizika, 1999, Volume 120, Number 3, Pages 358–379
DOI: https://doi.org/10.4213/tmf784 (Mi tmf784)

This article is cited in 24 scientific papers (total in 24 papers)

General quantum antibrackets

I. A. Batalin^ab, R. Marnelius^b

^a P. N. Lebedev Physical Institute, Russian Academy of Sciences
^b Chalmers University of Technology

Full-text PDF (296 kB) Citations (24)

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DOI: https://doi.org/10.4213/tmf784

Abstract: The recently introduced quantum antibracket is further generalized such that the odd operator

Q

$Q$ can be arbitrary. We give exact formulas for quantum antibrackets of arbitrary higher orders and for their generalized Jacobi identities. We review applications of the quantum antibrackets to the BV and BFV–BRST quantizations and include some new aspects.

Received: 31.05.1999

English version:
Theoretical and Mathematical Physics, 1999, Volume 120, Issue 3, Pages 1115–1132
DOI: https://doi.org/10.1007/BF02557237

Bibliographic databases:

Language: Russian

Citation: I. A. Batalin, R. Marnelius, “General quantum antibrackets”, TMF, 120:3 (1999), 358–379; Theoret. and Math. Phys., 120:3 (1999), 1115–1132

Citation in format AMSBIB

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Linking options:

https://www.mathnet.ru/eng/tmf784

https://doi.org/10.4213/tmf784

https://www.mathnet.ru/eng/tmf/v120/i3/p358

This publication is cited in the following 24 articles:

Maxim Grigoriev, Dmitry Rudinsky, “Notes on the L∞-approach to local gauge field theories”, Journal of Geometry and Physics, 190 (2023), 104863
Batalin I.A., Lavrov P.M., “Superfield Generating Equation of Field-Antifield Formalism”, Phys. Part. Nuclei, 49:5 (2018), 847–849
Batalin I.A. Lavrov P.M., “General Conversion Method For Constrained Systems”, Phys. Lett. B, 787 (2018), 89–93
Igor A. Batalin, Peter M. Lavrov, “Quantum antibrackets: Polarization and parametrization”, Mod. Phys. Lett. A, 33:07n08 (2018), 1850042
Batalin I.A., Lavrov P.M., “Superfield generating equation of field?antifield formalism as a hyper-gauge theory”, Eur. Phys. J. C, 77:2 (2017), 121
Bashkirov D., Voronov A.A., “The Bv Formalism For l-Infinity-Algebras”, J. Homotopy Relat. Struct., 12:2 (2017), 305–327
Batalin I.A., Lavrov P.M., “General quantum-mechanical setting for field?antifield formalism as a hyper-gauge theory”, Mod. Phys. Lett. A, 31:30 (2016), 1650167
Batalin I.A., Lavrov P.M., “Quantum localization of classical mechanics”, Mod. Phys. Lett. A, 31:22 (2016), 1650128
Batalin I.A., Lavrov P.M., “Closed description of arbitrariness in resolving quantum master equation”, Phys. Lett. B, 758 (2016), 54–58
Batalin I.A. Lavrov P.M., “Superfield Hamiltonian quantization in terms of quantum antibrackets”, Int. J. Mod. Phys. A, 31:11 (2016), 1650054
Batalin I.A., Bering K., “Gauge Independence in a Higher-Order Lagrangian Formalism Via Change of Variables in the Path Integral”, Phys. Lett. B, 742 (2015), 23–28
Batalin I.A. Lavrov P.M., “Representation of a Gauge Field Via Intrinsic “Brst” Operator”, Phys. Lett. B, 750 (2015), 325–330
Igor A. Batalin, Peter M. Lavrov, “Does the nontrivially deformed field–antifield formalism exist?”, Int. J. Mod. Phys. A, 30:16 (2015), 1550090
Bruce A.J., “FROM L-infinity-ALGEBROIDS TO HIGHER SCHOUTEN/Poisson STRUCTURES”, Rep Math Phys, 67:2 (2011), 157–177
Batalin I.A., Bering K., “Path integral formulation with deformed antibracket”, Phys Lett B, 694:2 (2010), 158–166
Batalin, IA, “Reducible gauge algebra of BRST-invariant constraints”, Nuclear Physics B, 771:3 (2007), 190
Bering, K, “Non-commutative Batalin-Vilkovisky algebras, homotopy Lie algebras and the Courant bracket”, Communications in Mathematical Physics, 274:2 (2007), 297
Voronov, T, “Higher derived brackets and homotopy algebras”, Journal of Pure and Applied Algebra, 202:1–3 (2005), 133
Gitman, DM, “Local superfield Lagrangian BRST quantization”, Journal of Mathematical Physics, 46:7 (2005), 072302
I. A. Batalin, I. V. Tyutin, “BRST-Invariant Algebra of Constraints in Terms of Commutators and Quantum Antibrackets”, Theoret. and Math. Phys., 138:1 (2004), 1–17

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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