Diffusion method in field theories with fakeons

Fuente: arXiv
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Main Author: Calcagni, Gianluca
Format: Preprint
Published: 2025
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author Calcagni, Gianluca
author_facet Calcagni, Gianluca
contents 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 $\Box$. 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.
format Preprint
id arxiv_https___arxiv_org_abs_2510_15157
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Diffusion method in field theories with fakeons
Calcagni, Gianluca
High Energy Physics - Theory
General Relativity and Quantum Cosmology
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 $\Box$. 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.
title Diffusion method in field theories with fakeons
topic High Energy Physics - Theory
General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2510.15157