An independent (algebraic) proof is given of the factorization property of the Grand Jacobian corresponding to the anticanonical transformations in the BV formalism.
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I. A. Batalin and G. A. Vilkovisky, Phys. Lett. B, 102, 27 (1981).
I. A. Batalin and G. A. Vilkovisky, Phys. Rev. D, 28, 2567 (1983).
C. Becchi, A. Rouet, and R. Stora, Phys. Lett. B, 52, 344 (1974).
I. V. Tyutin, Gauge Invariance in Field Theory and Statistical Physics in the Operator Formalism [in Russian], Preprint No. 39 of the Lebedev Physical Institute of the Russian Academy of Sciences (1975), arXiv:0812.0580 [hep-th].
C. Buttin, Comptes Rendus de l'Académie des Sciences. Ser. A–B. – Paris, 269, 87 (1969).
B. L. Voronov, P. M. Lavrov, and I. V. Tyutin, Yad. Fiz., 36, 498 (1982).
P. M. Lavrov and I. V. Tyutin, Yad. Fiz., 41, 1658 (1985).
I. A. Batalin and P. M. Lavrov, Phys. Lett. B, 758, 54 (2016).
I. A. Batalin, P. M. Lavrov, and I. V. Tyutin, Eur. Phys. J. C, 75, 270 (2015).
I. A. Batalin and G. A. Vilkovisky, Nucl. Phys. B, 234, 106 (1984).
H. Khudaverdian and Th. Voronov, in: Geometry, Topology and Mathematical Physics. S. P. Novikov Seminar 2006–2007, V. M. Buchstaber and I. M. Krichever, eds., AMS Transl., Ser. 2, 224, Amer. Math. Soc., 159–171 (2008).
B. S. DeWitt, Dynamical Theory of Groups and Fields, Gordon and Breach, London (1965).
F. A. Berezin, Introduction to Superanalysis [in Russian], Publishing House of Moscow Center for Continuous Mathematical Education, Moscow (2013).
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 4, pp. 110–114, April, 2021.
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Batalin, I.A., Lavrov, P.M. & Tyutin, I.V. Anticanonical Transformations and Grand Jacobian. Russ Phys J 64, 688–694 (2021). https://doi.org/10.1007/s11182-021-02373-8
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DOI: https://doi.org/10.1007/s11182-021-02373-8