General solution to the quantum master equation \newline in the finite-dimensional case
Teoretičeskaâ i matematičeskaâ fizika, Tome 114 (1998) no. 2, pp. 250-270
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The general solution to the quantum master equation (and its $Sp(2)$ symmetric counterpart) is explicitly constructed in the case of a finite number of variables. It is shown that the finite-dimensional solution is physically trivial and, therefore, cannot be directly extended to a local field theory. Thus, the locality condition is important in obtaining nontrivial physical results when quantizing gauge field theories in the field-antifield formalism.
@article{TMF_1998_114_2_a2,
author = {I. A. Batalin and I. V. Tyutin},
title = {General solution to the quantum master equation \newline in the finite-dimensional case},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {250--270},
publisher = {mathdoc},
volume = {114},
number = {2},
year = {1998},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1998_114_2_a2/}
}
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I. A. Batalin; I. V. Tyutin. General solution to the quantum master equation \newline in the finite-dimensional case. Teoretičeskaâ i matematičeskaâ fizika, Tome 114 (1998) no. 2, pp. 250-270. http://geodesic.mathdoc.fr/item/TMF_1998_114_2_a2/