2026-05-04T14:22:52Zhttps://riubu.ubu.es/oai/requestoai:riubu.ubu.es:10259/100032025-01-24T01:05:26Zcom_10259.4_2557com_10259_5086com_10259_2604col_10259.4_2558
Relancio Martínez, José Javier
822
600
0000-0003-1130-3982
Santamaría Sanz, Lucía
bdaeec67-7ebf-4c3d-a970-445a0525174f
600
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.
This research is supported by the Spanish Ministry of Science and Innovation MICIN, as well as by the Regional Government of Castilla y León (Junta de Castilla y León, Spain), with funding from European Union NextGenerationEU through the Quantum Communications in Castilla y León (QCAYLE) project (PRTRC17.I1). J. J. R. is funded by the Agencia Estatal de Investigación (Spain) through Grant No. PID2019– 106802GB-I00/AEI/10.13039/501100011033.
application/pdf
eng
American Physical Society
Physical Review D. 2024, V. 110, n. 8
https://doi.org/10.1103/PhysRevD.110.086004
Atribución 4.0 Internacional
http://creativecommons.org/licenses/by/4.0/
info:eu-repo/semantics/openAccess
Matemáticas
Física
Mathematics
Physics
Doubly special relativity as a nonlocal quantum field theory
info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
Physical Review D
110
8
THUMBNAIL
Relancio-prd_2024.pdf.jpg
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LICENSE
license.txt
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https://riubu.ubu.es/bitstream/10259/10003/3/license.txt
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Relancio-prd_2024.pdf
Relancio-prd_2024.pdf
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10259/10003
oai:riubu.ubu.es:10259/10003
2025-01-24 02:05:26.107
Repositorio Institucional de la Universidad de Burgos
bubrep@ubu.es
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