Induced Gravity from Theory Space
arXiv:gr-qc/0310055 · doi:10.1143/PTP.111.745
Abstract
The mass spectrum of a model constructed in a theory space is expressed by eigenvalues of the Laplacian on the graph structure of the theory space. The nature of the one-loop UV divergence in the vacuum energy is then controlled only by the degree matrix of the graph. Using these facts, we can construct models of induced gravity which do not suffer from divergences at the one-loop level.
14 pages, 5 figures, RevTeX4