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arXiv · 2212.08175

The observables of a perturbative algebraic quantum field theory form a factorization algebra

Owen Gwilliam·Kasia Rejzner
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Abstract

We demonstrate that perturbative algebraic QFT methods, as developed by Fredenhagen and Rejzner, naturally yields a factorization algebras of observables for a large class of Lorentzian theories. Along the way we carefully articulate cochain-level refinements of multilocal functionals, building upon results about the variational bicomplex, and we lift existing results about Epstein-Glaser renormalization to these multilocal differential forms, results which may be of independent interest.

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Owen Gwilliam, Kasia Rejzner. 2022-12-15. The observables of a perturbative algebraic quantum field theory form a factorization algebra. https://arxiv.org/abs/2212.08175

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