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Teoreticheskaya i Matematicheskaya Fizika, 2004, Volume 138, Number 1, Pages 3–22
DOI: https://doi.org/10.4213/tmf4 (Mi tmf4) 		 
This article is cited in 8 scientific papers (total in 8 papers)

BRST-Invariant Algebra of Constraints in Terms of Commutators and Quantum Antibrackets

I. A. Batalin, I. V. Tyutin
Full-text PDF (258 kB) Citations (8)
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DOI: https://doi.org/10.4213/tmf4
Abstract: We establish the general structure of the BRST-invariant algebra of constraints in its commutator and antibracket forms via the formulation of algebra-generating equations in a supplementally extended phase space. New ghost-type variables behave as fields and antifields with respect to quantum antibrackets. The explicit form of the BRST-invariant gauge algebra is given in detail for rank-one theories with a Weyl and a Wick-ordered ghost sector. We construct a ixed-gauge unitarizing Hamiltonian and show that the formalism is physically equivalent to the standard BRST–BFV approach.
Keywords: BRST symmetry, algebra of constraints, quantum antibracket.
Received: 17.03.2003
English version:
Theoretical and Mathematical Physics, 2004, Volume 138, Issue 1, Pages 1–17
DOI: https://doi.org/10.1023/B:TAMP.0000010628.58719.a4
Bibliographic databases:
Language: Russian
Citation: I. A. Batalin, I. V. Tyutin, “BRST-Invariant Algebra of Constraints in Terms of Commutators and Quantum Antibrackets”, TMF, 138:1 (2004), 3–22; Theoret. and Math. Phys., 138:1 (2004), 1–17
Citation in format AMSBIB
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    • This publication is cited in the following 8 articles:
    1. Batalin I.A. Lavrov P.M., “General Conversion Method For Constrained Systems”, Phys. Lett. B, 787 (2018), 89–93  crossref  mathscinet  zmath  isi  scopus
    2. Igor A. Batalin, Peter M. Lavrov, “Quantum antibrackets: Polarization and parametrization”, Mod. Phys. Lett. A, 33:07n08 (2018), 1850042  crossref
    3. Batalin I.A., Lavrov P.M., “Superfield Hamiltonian quantization in terms of quantum antibrackets”, Int. J. Mod. Phys. A, 31:11 (2016), 1650054  crossref  mathscinet  zmath  isi  scopus
    4. Batalin I.A., Lavrov P.M., “Representation of a Gauge Field Via Intrinsic “Brst” Operator”, Phys. Lett. B, 750 (2015), 325–330  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
    5. Hubsch T., Advanced Concepts in Particle and Field Theory, Cambridge Univ Press, 2015  crossref  zmath  isi  scopus
    6. Batalin, IA, “Reducible gauge algebra of BRST-invariant constraints”, Nuclear Physics B, 771:3 (2007), 190  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus  scopus
    7. Batalin I, Tyutin I, “On the transformations of Hamiltonian gauge algebra under rotations of constraints”, International Journal of Modern Physics A, 20:4 (2005), 895–905  crossref  mathscinet  zmath  adsnasa  isi  scopus  scopus
    8. Batalin, IA, “BRST-anti-BRST symmetric conversion of second-class constraints”, International Journal of Modern Physics A, 18:24 (2003), 4485  crossref  mathscinet  zmath  adsnasa  isi  scopus
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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