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

来源：

PHYSICAL REVIEW D | 2024年 / 110卷 / 08期

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.

引用

页数：16

共 109 条

[1] Boson-boson effective nonrelativistic potential for higher-derivative electromagnetic theories in D dimensions -: art. no. 107705 [J].

Accioly, A ;

Dias, M .

PHYSICAL REVIEW D, 2004, 70 (10) :107705-1

[2] Quantum gravity phenomenology at the dawn of the multi-messenger era-A review [J].

Addazi, A. ;

Alvarez-Muniz, J. ;

Alves Batista, R. ;

Amelino-Camelia, G. ;

Antonelli, V ;

Arzano, M. ;

Asorey, M. ;

Atteia, J-L ;

Bahamonde, S. ;

Bajardi, F. ;

Ballesteros, A. ;

Baret, B. ;

Barreiros, D. M. ;

Basilakos, S. ;

Benisty, D. ;

Birnholtz, O. ;

Blanco-Pillado, J. J. ;

Blas, D. ;

Bolmont, J. ;

Boncioli, D. ;

Bosso, P. ;

Calcagni, G. ;

Capozziello, S. ;

Carmona, J. M. ;

Cerci, S. ;

Chernyakova, M. ;

Clesse, S. ;

Coelho, J. A. B. ;

Colak, S. M. ;

Cortes, J. L. ;

Das, S. ;

D'Esposito, V ;

Demirci, M. ;

Di Luca, M. G. ;

di Matteo, A. ;

Dimitrijevic, D. ;

Djordjevic, G. ;

Prester, D. Dominis ;

Eichhorn, A. ;

Ellis, J. ;

Escamilla-Rivera, C. ;

Fabiano, G. ;

Franchino-Vinas, S. A. ;

Frassino, A. M. ;

Frattulillo, D. ;

Funk, S. ;

Fuster, A. ;

Gamboa, J. ;

Gent, A. ;

Gergely, L. A. .

PROGRESS IN PARTICLE AND NUCLEAR PHYSICS, 2022, 125

[3] A brief review of 'little string theories' [J].

Aharony, O .

CLASSICAL AND QUANTUM GRAVITY, 2000, 17 (05) :929-938

[4]

Alves Batista R., arXiv

[5]

Amelino-Camelia G, 2001, AIP CONF PROC, V589, P137, DOI 10.1063/1.1419321

[6] Relativity - Special treatment [J].

Amelino-Camelia, G .

NATURE, 2002, 418 (6893) :34-35

[7] Realization of doubly special relativistic symmetries in Finsler geometries [J].

Amelino-Camelia, Giovanni ;

Barcaroli, Leonardo ;

Gubitosi, Giulia ;

Liberati, Stefano ;

Loret, Niccolo .

PHYSICAL REVIEW D, 2014, 90 (12)

[8] Quantum-Spacetime Phenomenology [J].

Amelino-Camelia, Giovanni .

LIVING REVIEWS IN RELATIVITY, 2013, 16

[9]

[Anonymous], 1990, Groups, Representations and Physics

[10]

[Anonymous], 1967, Commun. Math. Phys.

← 1 2 3 4 5 6 7 8 9 10 →