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00925njm 22002777a 4500 dc Alfaro, Jorge author Espriu, D. (Domènec) author Puigdomènech Bourgon, Daniel author 2019-04-08T08:56:33Z 2019-04-08T08:56:33Z 2010-08-17 2019-04-08T08:56:33Z We review the similarities between the effective chiral Lagrangrian, relevant for low-energy strong interactions, and the Einstein-Hilbert action. We use these analogies to suggest a specific mechanism whereby gravitons would emerge as Goldstone bosons of a global S O ( D ) × G L ( D ) symmetry broken down to S O ( D ) by fermion condensation. We propose a two-dimensional toy model where a dynamical zweibein is generated from a topological theory without any preexisting metric structure, the space being endowed only with an affine connection. A metric appears only after the symmetry breaking; thus the notion of distance is an induced effective one. In spite of several nonstandard features this simple toy model appears to be renormalizable and at long distances is described by an effective Lagrangian that corresponds to that of two-dimensional gravity (Liouville theory). The induced cosmological constant is related to the dynamical mass M acquired by the fermion fields in the breaking, which also acts as an infrared regulator. The low-energy expansion is valid for momenta k > M , i.e. for supra-horizon scales. We briefly discuss a possible implementation of a similar mechanism in four dimensions. Física de partícules Experiments Geometria Particle physics Experiments Geometry The emergence of geometry: a two-dimensional toy model