Flat Holography & Holographic Renormalization: Scalar Field
High Energy Physics - Theory
2026-01-19 v2
Abstract
We adapt the Hamilton-Jacobi method of holographic renormalization to scalar field theories in Minkowski spacetime with scattering boundary conditions. The approach yields a flat-space holographic dictionary in which the expectation value of a dual operator is given by the renormalized canonical momentum. The source of the operator is imposed as a Dirichlet condition in a radial timelike foliation of the bulk theory and corresponds to the scattering data appearing in the Arefeva-Faddeev-Slavnov generating functional. We initiate a study of massive scalars and interacting fields within this formalism and we comment on extensions to different bulk theories and backgrounds.
Cite
@article{arxiv.2512.14818,
title = {Flat Holography & Holographic Renormalization: Scalar Field},
author = {Martin Ammon and Federico Capone and Christoph Sieling},
journal= {arXiv preprint arXiv:2512.14818},
year = {2026}
}
Comments
54 pages. Typos corrected, minor improvements and references added