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arXiv · 2403.18772

Non-local quantum field theory from doubly special relativity

J. J. Relancio·L. Santamaría-Sanz
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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.

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J. J. Relancio, L. Santamaría-Sanz. 2024-03-27. Non-local quantum field theory from doubly special relativity. https://doi.org/10.1088/1361-6382/ad9c10

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