학술논문
Non-local quantum field theory from doubly special relativity
Document Type
Working Paper
Author
Source
J J Relancio and L Santamar\'ia-Sanz 2025 Class. Quantum Grav. 42 025007
Subject
Language
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.
Comment: 9 pages, 1 figure. Small improvements in version 2
Comment: 9 pages, 1 figure. Small improvements in version 2