Geodesic
General solution to the quantum master equation in the finite-dimensional case
Teoretičeskaâ i matematičeskaâ fizika, Tome 114 (1998) no. 2, pp. 250-270 
I. A. Batalin; I. V. Tyutin. General solution to the quantum master equation 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/
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Voir la notice de l'article provenant de la source Math-Net.Ru

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.

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