RT info:eu-repo/semantics/article
T1 Doubly special relativity as a nonlocal quantum field theory
A1 Relancio Martínez, José Javier
A1 Santamaría Sanz, Lucía
K1 Matemáticas
K1 Mathematics
K1 Física
K1 Physics
AB 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.
PB American Physical Society
SN 2470-0010
YR 2024
FD 2024-10
LK http://hdl.handle.net/10259/10003
UL http://hdl.handle.net/10259/10003
LA eng
NO 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.
DS Repositorio Institucional de la Universidad de Burgos
RD 17-mar-2025