Diffusion method in field theories with fakeons

2025/10/16 by Gianluca Calcagni, Calcagni, Gianluca
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th) #Navier-Stokes equation solutions

paper · pdf · doi:10.48550/arxiv.2510.15157

openalex publication_date 2025/10/16 · openalex created_date 2025/10/21 · openalex updated_date 2026/07/31

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 \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.

Citations

• Classicized dynamics and initial conditions in field theories with fakeons
• Representations of the fractional d'Alembertian and initial conditions in fractional dynamics
• Amplitude prescriptions in field theories with complex poles
• Multifractional theories: An updated review
• Scalar field on non-integer dimensional spaces
• Rolling Solution for Tachyon Condensation in Open String Field Theory
• Nonlocal action for long-distance modifications of gravity theory
• Radiative Corrections as the Origin of Spontaneous Symmetry Breaking
• Radiative Corrections as the Origin of Spontaneous Symmetry Breaking

Related

• Classicized dynamics and initial conditions in field theories with fakeons
• Fakeons, quantum gravity and the correspondence principle
• Classical and quantum nonlocal gravity
• Null Lagrangians of non-local field theories
• Classical group field theory