000057097 001__ 57097 000057097 005__ 20180323145606.0 000057097 0247_ $$2doi$$a10.1103/PhysRevD.94.084008 000057097 0248_ $$2sideral$$a96626 000057097 037__ $$aART-2016-96626 000057097 041__ $$aeng 000057097 100__ $$0(orcid)0000-0003-2264-2306$$aCarmona, J.M.$$uUniversidad de Zaragoza 000057097 245__ $$aBeyond special relativity at second order 000057097 260__ $$c2016 000057097 5060_ $$aAccess copy available to the general public$$fUnrestricted 000057097 5203_ $$aThe study of generic, nonlinear, deformations of special relativity parametrized by a high-energy scale M, which was carried out at first order in 1/M in J. M. Carmona, J. L. Cortés, and F. Mercati, Phys. Rev. D 86, 084032 (2012), is extended to second order. This can be done systematically through a ("generalized") change of variables from momentum variables that transform linearly. We discuss the different perspectives on the meaning of the change of variables, obtain the coefficients of modified composition laws and Lorentz transformations at second order, and work out how ¿-Poincaré, the most commonly used example in the literature, is reproduced as a particular case of the generic framework exposed here. 000057097 536__ $$9info:eu-repo/grantAgreement/ES/DGA/E24-2$$9info:eu-repo/grantAgreement/ES/MINECO/FPA2015-65745-P 000057097 540__ $$9info:eu-repo/semantics/openAccess$$aAll rights reserved$$uhttp://www.europeana.eu/rights/rr-f/ 000057097 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion 000057097 700__ $$0(orcid)0000-0002-8282-3435$$aCortés, J.L.$$uUniversidad de Zaragoza 000057097 700__ $$aRelancio, J.J. 000057097 7102_ $$12004$$2390$$aUniversidad de Zaragoza$$bDepartamento de Física Teórica$$cFísica Atómica, Molecular y Nuclear 000057097 7102_ $$12004$$2405$$aUniversidad de Zaragoza$$bDepartamento de Física Teórica$$cFísica Teórica 000057097 773__ $$g94, 8 (2016), 084008 [18 pp.]$$pPhys. rev., D Part. fields gravit. cosmol.$$tPHYSICAL REVIEW. D, PARTICLES, FIELDS, GRAVITATION, AND COSMOLOGY$$x1550-7998 000057097 8564_ $$s270834$$uhttps://zaguan.unizar.es/record/57097/files/texto_completo.pdf$$yVersión publicada 000057097 8564_ $$s121949$$uhttps://zaguan.unizar.es/record/57097/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada 000057097 909CO $$ooai:zaguan.unizar.es:57097$$particulos$$pdriver 000057097 951__ $$a2018-03-23-14:49:46 000057097 980__ $$aARTICLE