Abstract
A constraint of vanishing energy-momentum tensor is motivated by a variety of perspectives on quantum gravity. We demonstrate in a concrete example how this constraint leads to a metric-independent theory in which quantum gravity emerges as a nonperturbative artifact of regularization-scale physics. We analyze a scalar theory similar to the Dirac-Born-Infeld (DBI) theory with vanishing gauge fields, with the DBI Lagrangian modulated by a scalar potential. In the limit of a large number of scalars, we explicitly demonstrate the existence of a composite massless spin-2 graviton in the spectrum that couples to matter as in Einstein gravity. We comment on the cosmological constant problem and the generalization to theories with fermions and gauge fields.
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Carone, C.D., Erlich, J. & Vaman, D. Emergent gravity from vanishing energy-momentum tensor. J. High Energ. Phys. 2017, 134 (2017). https://doi.org/10.1007/JHEP03(2017)134
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DOI: https://doi.org/10.1007/JHEP03(2017)134