Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2003-10-10
Prog.Theor.Phys. 111 (2004) 745-755
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
14 pages, 5 figures, RevTeX4
Scientific paper
10.1143/PTP.111.745
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.
Kan Nahomi
Shiraishi Kiyoshi
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