Doubly special relativity as a nonlocal quantum field theory

被引:1
作者
Relancio, J. J. [1 ,2 ]
Santamaria-Sanz, L. [3 ]
机构
[1] Univ Burgos, Dept Matemat & Comp, Plaza Misael Banuelos, Burgos 09001, Spain
[2] Univ Zaragoza, Ctr Astroparticulas & Fis Altas Energias CAPA, Calle Pedro Cerbuna 12, Zaragoza 50009, Spain
[3] Univ Burgos, Dept Fis, Plaza Misael Banuelos, Burgos 09001, Spain
关键词
SPACE-TIME; PROPAGATION; VIOLATION; PARTICLE; EQUATION; GRAVITY;
D O I
10.1103/PhysRevD.110.086004
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
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.
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页数:16
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