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arXiv · 1702.00570

Superfield generating equation of field-antifield formalism as a hyper-gauge theory

Igor A. Batalin·Peter M. Lavrov
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Abstract

Within a superfield approach, we formulate a simple quantum generating equation of the field - antifield formalism. Then, we derive the Schroedinger equation with the Hamiltonian whose $Δ$ - exact part serves as a generator to the quantum master-transformations. We show that these generators do satisfy a nice composition law in terms of the quantum antibrackets. We also present an $Sp(2)$ symmetric extension as to the main construction, with specific features caused with the principal fact that all basic equations become $Sp(2)$ vector valued ones.

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Igor A. Batalin, Peter M. Lavrov. 2017-02-27. Superfield generating equation of field-antifield formalism as a hyper-gauge theory. https://doi.org/10.1140/epjc%2Fs10052-017-4696-x

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