2026-06-19T13:19:27Zhttps://riubu.ubu.es/oai/requestoai:riubu.ubu.es:10259/100032025-01-24T01:05:26Zcom_10259.4_2557com_10259_5086com_10259_2604col_10259.4_2558
Repositorio Institucional de la Universidad de Burgos
author
Relancio Martínez, José Javier
author
Santamaría Sanz, Lucía
2025-01-23T07:33:48Z
2025-01-23T07:33:48Z
2024-10
2470-0010
http://hdl.handle.net/10259/10003
10.1103/PhysRevD.110.086004
2470-0029
In this work, we explore the quantum theories of the free massive scalar, the massive fermionic, and the electromagnetic fields in a doubly special relativity scenario. This construction is based on a geometrical interpretation of the kinematics of this kind of theory. In order to describe the modified actions, we find that a higher (indeed infinite) derivative field theory is needed, from which the deformed kinematics can be read. From our construction, we are able to restrict the possible models of doubly special relativity to those that preserve linear Lorentz invariance. We quantize the theories and also obtain a deformed version of the Maxwell equations. We analyze the electromagnetic vector potential for both an electric pointlike source and magnetic dipole. We observe that the electric and magnetic fields do not diverge at the origin for some models described with an anti–de Sitter momentum space, but they do for a de Sitter space in both problems.
eng
Atribución 4.0 Internacional
Doubly special relativity as a nonlocal quantum field theory
info:eu-repo/semantics/article
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URL
https://riubu.ubu.es/bitstream/10259/10003/1/Relancio-prd_2024.pdf
File
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1ddf1f15f8960d93ae2aa78361460116
832292
application/pdf
Relancio-prd_2024.pdf