Homotopies in Batalin-Vilkovisky Formalism

Branislav Jurčo; Ján Pulmann; Martin Zika

Homotopies in Batalin-Vilkovisky Formalism

Mathematical Physics 2026-06-29 v1 High Energy Physics - Theory Differential Geometry Symplectic Geometry

Authors: Branislav Jurčo , Ján Pulmann , Martin Zika

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.

Keywords

Batalin-Vilkovisky formalism homotopy quantum master action renormalization group flow gauge fixing effective action

Cite

@article{arxiv.2606.30965,
  title  = {Homotopies in Batalin-Vilkovisky Formalism},
  author = {Branislav Jurčo and Ján Pulmann and Martin Zika},
  journal= {arXiv preprint arXiv:2606.30965},
  year   = {2026}
}

Comments

45 pages