119679 20230519145620.0 doi 10.1103/PhysRevD.104.024017 sideral 126242 ART-2021-126242 eng Relancio J.J. Universidad de Zaragoza (orcid)0000-0003-1130-3982 Geometry of multiparticle systems with a relativistic deformed kinematics and the relative locality principle 2021 Access copy available to the general public Unrestricted There is a vast literature showing the connection between a deformed relativistic kinematics and a curved momentum space and, in particular, how the former can be obtained from the geometrical properties of the latter. However, there is not any mention about the geometry of a multiparticle system making manifest a possible modification in the metric of one particle due to the presence of others. In this work, we explore how a curved momentum metric depending on the particles involved in an interaction arises when considering a process. We also show that the principle of relative locality obtained in doubly special relativity from an action is achieved in this geometrical framework in a direct fashion. Moreover, this formalism allows us to generalize this principle when a curvature of spacetime is present in a natural way. Furthermore this geometrical setup allows us to define a new momentum dependent space-time coordinates for a multiparticle system in which locality of interactions is recovered. © 2021 American Physical Society. info:eu-repo/semantics/openAccess All rights reserved http://www.europeana.eu/rights/rr-f/ 5.407 2021 PHYSICS, PARTICLES & FIELDS 7 / 29 = 0.241 2021 Q1 T1 ASTRONOMY & ASTROPHYSICS 16 / 69 = 0.232 2021 Q1 T1 1.677 2021 Physics and Astronomy (miscellaneous) 2021 Q1 Nuclear and High Energy Physics 2021 Q1 9.5 2021 info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion 2004 405 Universidad de Zaragoza Dpto. Física Teórica Área Física Teórica 104, 2 (2021), 024017 [13 pp] Phys. rev. D Physical Review D 2470-0010 461254 http://zaguan.unizar.es/record/119679/files/texto_completo.pdf Postprint 2781648 http://zaguan.unizar.es/record/119679/files/texto_completo.jpg?subformat=icon icon Postprint oai:zaguan.unizar.es:119679 articulos driver 2023-05-18-16:14:46 ARTICLE