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Teoreticheskaya i Matematicheskaya Fizika, 1999, Volume 120, Number 2, Pages 256–276
DOI: https://doi.org/10.4213/tmf774 (Mi tmf774) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Local variational differential operators in field theory

B. L. Voronova, I. V. Tyutina, Sh. S. Shakhverdievb

a P. N. Lebedev Physical Institute, Russian Academy of Sciences
b M. V. Lomonosov Moscow State University
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DOI: https://doi.org/10.4213/tmf774
Abstract: We develop a new calculus for local variational differential operators where the action of higher-order operators on local functionals does not lead to indefinite quantities like $\delta(0)$. We apply this formalism to the Batalin–Vilkovisky formulation of local general gauge field theory and to its $Sp(2)$-symmetrical generalization. Its relation to a semiclassical expansion is also discussed.
Received: 03.02.1999
English version:
Theoretical and Mathematical Physics, 1999, Volume 120, Issue 2, Pages 1026–1044
DOI: https://doi.org/10.1007/BF02557410
Bibliographic databases:
Language: Russian
Citation: B. L. Voronov, I. V. Tyutin, Sh. S. Shakhverdiev, “Local variational differential operators in field theory”, TMF, 120:2 (1999), 256–276; Theoret. and Math. Phys., 120:2 (1999), 1026–1044
Citation in format AMSBIB
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\paper Local variational differential operators in field theory
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\issue 2
\pages 256--276
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\transl
\jour Theoret. and Math. Phys.
\yr 1999
\vol 120
\issue 2
\pages 1026--1044
\crossref{https://doi.org/10.1007/BF02557410}
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  • https://doi.org/10.4213/tmf774
  • https://www.mathnet.ru/eng/tmf/v120/i2/p256
    • This publication is cited in the following 2 articles:
    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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    Full-text PDF :271
    References:66
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