Geometrizing the Klein–Gordon and Dirac equations in doubly special relativity

Franchino-Viñas, S. A. ; Relancio, J. J.

Resumen: In this work we discuss the deformed relativistic wave equations, namely the Klein–Gordon and Dirac equations in a doubly special relativity scenario. We employ what we call a geometric approach, based on the geometry of a curved momentum space, which should be seen as complementary to the more spread algebraic one. In this frame we are able to rederive well-known algebraic expressions, as well as to treat yet unresolved issues, to wit, the explicit relation between both equations, the discrete symmetries for Dirac particles, the fate of covariance, and the formal definition of a Hilbert space for the Klein–Gordon case.

Idioma: Inglés

DOI: 10.1088/1361-6382/acb4d4

Año: 2023

Publicado en: Classical and Quantum Gravity 40, 5 (2023), 054001 [23 pp.]
ISSN: 0264-9381

Factor impacto JCR: 3.6 (2023)

Categ. JCR: PHYSICS, MULTIDISCIPLINARY rank: 25 / 112 = 0.223 (2023) - Q1 - T1
Categ. JCR: QUANTUM SCIENCE & TECHNOLOGY rank: 13 / 26 = 0.5 (2023) - Q2 - T2
Categ. JCR: PHYSICS, PARTICLES & FIELDS rank: 11 / 31 = 0.355 (2023) - Q2 - T2
Categ. JCR: ASTRONOMY & ASTROPHYSICS rank: 24 / 84 = 0.286 (2023) - Q2 - T1

Factor impacto CITESCORE: 7.0 - Physics and Astronomy (miscellaneous) (Q1)

Factor impacto SCIMAGO: 1.232 - Physics and Astronomy (miscellaneous) (Q1)

Financiación: info:eu-repo/grantAgreement/ES/AEI/PID2019-106802GB-I00

Tipo y forma: Article (PostPrint)