Renormalization in Quantum Theories of Geometry
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- fphy-08-00247
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A hallmark of non-perturbative theories of quantum gravity is the absence of a fixed background geometry, and therefore the absence in a Planckian regime of any notion of length or scale that is defined a priori. This has potentially far-reaching consequences for the application of renormalization group methods a la Wilson, which rely on these notions in a crucial way. We review the status quo of attempts in the Causal Dynamical Triangulations (CDT) approach to quantum gravity to find an ultraviolet fixed point associated with the second-order phase transitions observed in the lattice theory. Measurements of the only invariant correlator currently accessible, that of the total spatial three-volume, has not produced any evidence of such a fixed point. A possible explanation for this result is our incomplete and perhaps naive understanding of what constitutes an appropriate notion of (quantum) length near the Planck scale.
Original language | English |
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Article number | 247 |
Journal | Frontiers in Physics |
Volume | 8 |
Number of pages | 12 |
ISSN | 2296-424X |
DOIs | |
Publication status | Published - 9 Jul 2020 |
- quantum gravity, phase transitions, causal dynamical triangulations, lattice field theory, asymptotic safety, FRACTAL STRUCTURE, GRAVITY, CDT
Research areas
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ID: 247157693