Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2005-03-03
Phys.Rev. D72 (2005) 024001
Physics
High Energy Physics
High Energy Physics - Theory
15 pages, 2 figures, 3 tables, appendix C on on-shell d.o.f. added, references added
Scientific paper
10.1103/PhysRevD.72.024001
In this paper we elaborate on the idea of an emergent spacetime which arises due to the dynamical breaking of diffeomorphism invariance in the early universe. In preparation for an explicit symmetry breaking scenario, we consider nonlinear realizations of the group of analytical diffeomorphisms which provide a unified description of spacetime structures. We find that gravitational fields, such as the affine connection, metric and coordinates, can all be interpreted as Goldstone fields of the diffeomorphism group. We then construct a Higgs mechanism for gravity in which an affine spacetime evolves into a Riemannian one by the condensation of a metric. The symmetry breaking potential is identical to that of hybrid inflation but with the non-inflaton scalar extended to a symmetric second rank tensor. This tensor is required for the realization of the metric as a Higgs field. We finally comment on the role of Goldstone coordinates as a dynamical fluid of reference.
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