How to derive Feynman diagrams for finite-dimensional integrals directly from the BV formalism

@article{Gwilliam2012HowTD,
title={How to derive Feynman diagrams for finite-dimensional integrals directly from the BV formalism},
author={Owen Gwilliam and Theo Johnson-Freyd},
journal={arXiv: Mathematical Physics},
year={2012}
}
• Published 7 February 2012
• Mathematics
• arXiv: Mathematical Physics
The Batalin-Vilkovisky formalism in quantum field theory was originally invented to avoid the difficult problem of finding diagrammatic descriptions of oscillating integrals with degenerate critical points. But since then, BV algebras have become interesting objects of study in their own right, and mathematicians sometimes have good understanding of the homological aspects of the story without any access to the diagrammatics. In this note we reverse the usual direction of argument: we begin by…
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