Non-local quantum field theory from doubly special relativity
Abstract
Doubly special relativity (DSR) is usually regarded as a low-energy limit of a quantum gravity theory with testable predictions. On the other hand, non-local quantum field theories have been presented as a solution to the inconsistencies arising when quantizing gravity. Here, we present a new formulation of quantum field theories in DSR with non-local behavior. Our construction restricts the models to those showing linear Lorentz invariance. We derive the deformed Klein--Gordon, Dirac, and electromagnetic Lagrangians, as well as the deformed Maxwell equations. We also discuss the electric potential of a point charge. Finally, we analyze the connection between the nonlocality of field theories and DSR.
Cite
@article{arxiv.2403.18772,
title = {Non-local quantum field theory from doubly special relativity},
author = {J. J. Relancio and L. Santamaría-Sanz},
journal= {arXiv preprint arXiv:2403.18772},
year = {2025}
}
Comments
9 pages, 1 figure. Small improvements in version 2