2026-06-17T18:48:26Zhttps://riubu.ubu.es/oai/request

oai:riubu.ubu.es:10259/103172025-12-20T23:42:14Zcom_10259.4_2557com_10259_5086com_10259_2604col_10259.4_2558

Relancio Martínez, José Javier Santamaría Sanz, Lucía 2025-03-13T08:33:06Z 2025-03-13T08:33:06Z 2024-12 0264-9381 http://hdl.handle.net/10259/10317 10.1088/1361-6382/ad9c10 1361-6382 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. 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). application/pdf eng IOP Publishing Classical and Quantum Gravity. 2024, V. 42, n. 2, p. 025007 https://doi.org/10.1088/1361-6382/ad9c10 Física Matemáticas Physics Mathematics Non-local quantum field theory from doubly special relativity info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion info:eu-repo/semantics/openAccess Classical and Quantum Gravity 42 2 025007