87633 20220817094617.0 doi 10.1103/PhysRevD.100.104031 sideral 115863 ART-2019-115863 eng Carmona, J.M. Universidad de Zaragoza (orcid)0000-0003-2264-2306 Relativistic deformed kinematics from momentum space geometry 2019 Access copy available to the general public Unrestricted 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. info:eu-repo/grantAgreement/ES/DGA/E24-2 info:eu-repo/grantAgreement/ES/MINECO-FEDER/FPA2015-65745-P info:eu-repo/grantAgreement/ES/MINECO-FEDER/PGC2018-095328-B-I00 info:eu-repo/semantics/openAccess All rights reserved http://www.europeana.eu/rights/rr-f/ 4.833 2019 PHYSICS, PARTICLES & FIELDS 6 / 29 = 0.207 2019 Q1 T1 ASTRONOMY & ASTROPHYSICS 16 / 68 = 0.235 2019 Q1 T1 1.664 2019 Physics and Astronomy (miscellaneous) 2019 Q1 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Cortés, J.L. Universidad de Zaragoza (orcid)0000-0002-8282-3435 Relancio, J.J. Universidad de Zaragoza (orcid)0000-0003-1130-3982 2004 405 Universidad de Zaragoza Dpto. Física Teórica Área Física Teórica 2004 390 Universidad de Zaragoza Dpto. Física Teórica Área Física Atóm.Molec.y Nucl. 100, 10 (2019), 104031 1-10 Phys. rev. D Physical Review D 2470-0010 217367 http://zaguan.unizar.es/record/87633/files/texto_completo.pdf Versión publicada 113606 http://zaguan.unizar.es/record/87633/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:87633 articulos driver 2022-08-17-09:33:28 ARTICLE