Geodesic
Local variational differential operators in field theory
Teoretičeskaâ i matematičeskaâ fizika, Tome 120 (1999) no. 2, pp. 256-276 
B. L. Voronov; I. V. Tyutin; Sh. S. Shakhverdiev. Local variational differential operators in field theory. Teoretičeskaâ i matematičeskaâ fizika, Tome 120 (1999) no. 2, pp. 256-276. http://geodesic.mathdoc.fr/item/TMF_1999_120_2_a6/
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     title = {Local variational differential operators in field theory},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     volume = {120},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1999_120_2_a6/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

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.

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