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Homotopies in Batalin-Vilkovisky Formalism

Branislav Jurčo, Ján Pulmann, Martin Zika

math-pharXiv:2606.30965

Abstract

We review the notion of homotopy of quantum master actions in geometric Batalin-Vilkovisky formalism. Then we construct new examples of such homotopies, coming from renormalization group flow and non-infinitesimal changes of gauge fixing. Finally, we use the field redefinitions given by these homotopies to construct spans of quantum master actions with isomorphic effective actions.

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