Relativistic deformed kinematics from momentum space geometry

Carmona, J.M. (Universidad de Zaragoza) ; Cortés, J.L. (Universidad de Zaragoza) ; Relancio, J.J. (Universidad de Zaragoza)

Resumen: We present a way to derive a deformation of special relativistic kinematics (possible low-energy signal of a quantum theory of gravity) from the geometry of a maximally symmetric curved momentum space. The deformed kinematics is fixed (up to change of coordinates in the momentum variables) by the algebra of isometries of the metric in momentum space. In particular, the well-known example of ¿-Poincaré kinematics is obtained when one considers an isotropic metric in de Sitter momentum space such that translations are a subgroup of the isometry group, and for a Lorentz covariant algebra one gets the also well-known case of Snyder kinematics. We prove that our construction gives generically a relativistic kinematics and explain how it relates to previous attempts of connecting a deformed kinematics with a geometry in momentum space.

Idioma: Inglés

DOI: 10.1103/PhysRevD.100.104031

Año: 2019

Publicado en: Physical Review D 100, 10 (2019), 104031 1-10
ISSN: 2470-0010

Factor impacto JCR: 4.833 (2019)

Categ. JCR: PHYSICS, PARTICLES & FIELDS rank: 6 / 29 = 0.207 (2019) - Q1 - T1
Categ. JCR: ASTRONOMY & ASTROPHYSICS rank: 16 / 68 = 0.235 (2019) - Q1 - T1

Factor impacto SCIMAGO: 1.664 - Physics and Astronomy (miscellaneous) (Q1)

Financiación: info:eu-repo/grantAgreement/ES/DGA/E24-2
Financiación: info:eu-repo/grantAgreement/ES/MINECO-FEDER/FPA2015-65745-P
Financiación: info:eu-repo/grantAgreement/ES/MINECO-FEDER/PGC2018-095328-B-I00

Tipo y forma: Article (Published version)

Área (Departamento): Área Física Teórica (Dpto. Física Teórica)
Área (Departamento): Área Física Atóm.Molec.y Nucl. (Dpto. Física Teórica)