Diffusion method in field theories with fakeons
High Energy Physics - Theory
2026-01-09 v2 General Relativity and Quantum Cosmology
Abstract
We adapt the diffusion method employed in fundamentally nonlocal field theories to determine the number of initial conditions for the classicized dynamics of unitary field theories with fakeons, characterized by inverse powers of the d'Alembertian operator . We show that this number is two and we recover all the results obtained with a direct calculation elsewhere, including explicit solutions of linear toy models. Possible applications to nonlocal gravity are discussed.
Keywords
Cite
@article{arxiv.2510.15157,
title = {Diffusion method in field theories with fakeons},
author = {Gianluca Calcagni},
journal= {arXiv preprint arXiv:2510.15157},
year = {2026}
}
Comments
15 pages, 1 figure. v2: typos corrected