RT info:eu-repo/semantics/article T1 Non-local quantum field theory from doubly special relativity A1 Relancio Martínez, José Javier A1 Santamaría Sanz, Lucía K1 Física K1 Physics K1 Matemáticas K1 Mathematics AB 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. PB IOP Publishing SN 0264-9381 YR 2024 FD 2024-12 LK http://hdl.handle.net/10259/10317 UL http://hdl.handle.net/10259/10317 LA eng NO This work has been supported by the grant PID2023-148373NB-I00 funded by MCIN /AEI /10.13039/501100011033 / FEDER, UE, and by the Q-CAYLE Project funded by the Regional Government of Castilla y León (Junta de Castilla y León) and by the Ministry of Science and Innovation (MCIN) through the European Union funds NextGenerationEU (PRTR C17.I1). DS Repositorio Institucional de la Universidad de Burgos RD 14-mar-2025