- #1

marcus

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## Main Question or Discussion Point

This is a proposal for a quantum theory of gravity and matter in which all physical parameters are determined and calculable---all masses and coupling constants, including also the cosmological constant as well.

John86 spotted the paper and added it to our non-string QG bibliography thread:

http://arxiv.org/abs/1011.0061

Gerard 't Hooft

15 pages.

(Submitted on 30 Oct 2010)

"Perturbative canonical quantum gravity is considered, when coupled to a renormalizable model for matter fields. It is proposed that the functional integral over the dilaton field should be disentangled from the other integrations over the metric fields. This should generate a conformally invariant theory as an intermediate result, where the conformal anomalies must be constrained to cancel out. When the residual metric is treated as a background, and if this background is taken to be flat, this leads to a novel constraint: in combination with the dilaton contributions, the matter lagrangian should have a vanishing beta function. The zeros of this beta function are isolated points in the landscape of quantum field theories, and so we arrive at a denumerable, or perhaps even finite, set of quantum theories for matter, where

John86 spotted the paper and added it to our non-string QG bibliography thread:

http://arxiv.org/abs/1011.0061

**The Conformal Constraint in Canonical Quantum Gravity**Gerard 't Hooft

15 pages.

(Submitted on 30 Oct 2010)

"Perturbative canonical quantum gravity is considered, when coupled to a renormalizable model for matter fields. It is proposed that the functional integral over the dilaton field should be disentangled from the other integrations over the metric fields. This should generate a conformally invariant theory as an intermediate result, where the conformal anomalies must be constrained to cancel out. When the residual metric is treated as a background, and if this background is taken to be flat, this leads to a novel constraint: in combination with the dilaton contributions, the matter lagrangian should have a vanishing beta function. The zeros of this beta function are isolated points in the landscape of quantum field theories, and so we arrive at a denumerable, or perhaps even finite, set of quantum theories for matter, where

**not only the coupling constants, but also the masses and the cosmological constant are all fixed, and computable**, in terms of the Planck units."
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