Beltrán Jiménez, JoséRuiz Cembranos, José AlbertoSánchez Velázquez, José Manuel2023-06-172023-06-172018-05-151029-847910.1007/JHEP05(2018)100https://hdl.handle.net/20.500.14352/12240© The Authors.We thank Pepe Aranda for useful discussions. This work is supported by the MINECO (Spain) projects FIS2014-52837-P and FIS2016-78859-P (AEI/FEDER). JBJ acknowledges the support of the Spanish MINECO's \Centro de Excelencia Severo Ochoa" Programme under grant SEV-2016-0597. JMSV acknowledges the support of Universidad Complutense de Madrid through the predoctoral grant CT27/16.We consider theories for scalar and vector _elds coupled to the energymomentum tensor. Since these _elds also carry a non-trivial energy-momentum tensor, the coupling prescription generates self-interactions. In analogy with gravity theories, we build the action by means of an iterative process that leads to an in_nite series, which can be resumed as the solution of a set of di_erential equations. We show that, in some particular cases, the equations become algebraic and that is also possible to _nd solutions in the form of polynomials. We briey review the case of the scalar _eld that has already been studied in the literature and extend the analysis to the case of derivative (disformal) couplings. We then explore theories with vector _elds, distinguishing between gaugeand non-gauge-invariant couplings. Interactions with matter are also considered, taking a scalar _eld as a proxy for the matter sector. We also discuss the ambiguity introduced by superpotential (boundary) terms in the de_nition of the energy-momentum tensor and use them to show that it is also possible to generate Galileon-like interactions with this procedure. We _nally use collider and astrophysical observations to set constraints on the dimensionful coupling which characterises the phenomenology of these models.engAtribución 3.0 Españahttps://creativecommons.org/licenses/by/3.0/es/journal articlehttp://dx.doi.org/10.1007/JHEP05(2018)100https://link.springer.comhttps://arxiv.org/abs/1803.05832open access53Nambu-Goldstone bosonsAngular-momentumInvisibleaxionBraneGeometryGravityDimensionsCosmologyDynamicsSearchFísica-Modelos matemáticos