Abstract
We construct a consistent closure for the beta functions of the cosmological and Newton’s constants by evaluating the influence that the anomalous dimensions of the fluctuating metric and ghost fields have on their renormalization group flow. In this generalized framework we confirm the presence of an UV attractive non-Gaussian fixed-point, which we find characterized by real critical exponents. Our closure method is general and can be applied systematically to more general truncations of the gravitational effective average action.
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Notes
- 1.
Here we follow the convention of [4] that a negative value for the critical exponent implies that the relative eigendirection is UV attractive.
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D’Odorico, G., Codello, A., Pagani, C. (2016). The Background Effective Average Action Approach to Quantum Gravity. In: Nicolini, P., Kaminski, M., Mureika, J., Bleicher, M. (eds) 1st Karl Schwarzschild Meeting on Gravitational Physics. Springer Proceedings in Physics, vol 170. Springer, Cham. https://doi.org/10.1007/978-3-319-20046-0_27
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