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Teoreticheskaya i Matematicheskaya Fizika, 2003, Volume 136, Number 3, Pages 339–364
DOI: https://doi.org/10.4213/tmf229
(Mi tmf229)
 

This article is cited in 1 scientific paper (total in 1 paper)

Associativity and Operator Hamiltonian Quantization of Gauge Theories

I. A. Batalina, A. M. Semikhatov

a P. N. Lebedev Physical Institute, Russian Academy of Sciences
Full-text PDF (399 kB) Citations (1)
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Abstract: We show that the associative algebra structure can be incorporated in the BRST quantization formalism for gauge theories such that extension from the corresponding Lie algebra to the associative algebra is achieved using operator quantization of reducible gauge theories. The BRST differential that encodes the associativity of the algebra multiplication is constructed as a quadratic second-order differential operator on the bar resolution.
Keywords: associative algebras, BRST differential, bar resolution, noncommutative differential forms.
Received: 19.01.2003
English version:
Theoretical and Mathematical Physics, 2003, Volume 136, Issue 3, Pages 1189–1211
DOI: https://doi.org/10.1023/A:1025612829739
Bibliographic databases:
Language: Russian
Citation: I. A. Batalin, A. M. Semikhatov, “Associativity and Operator Hamiltonian Quantization of Gauge Theories”, TMF, 136:3 (2003), 339–364; Theoret. and Math. Phys., 136:3 (2003), 1189–1211
Citation in format AMSBIB
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\paper Associativity and Operator Hamiltonian Quantization of Gauge Theories
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\issue 3
\pages 339--364
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\zmath{https://zbmath.org/?q=an:1178.81253}
\transl
\jour Theoret. and Math. Phys.
\yr 2003
\vol 136
\issue 3
\pages 1189--1211
\crossref{https://doi.org/10.1023/A:1025612829739}
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  • https://www.mathnet.ru/eng/tmf229
  • https://doi.org/10.4213/tmf229
  • https://www.mathnet.ru/eng/tmf/v136/i3/p339
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Abstract page:405
    Full-text PDF :228
    References:41
    First page:1
     
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