The continuum limit of loop quantum gravity - a framework for solving the theory
By B. Dittrich. 2014
135 citations recorded by the source corpus.
The construction of a continuum limit for the dynamics of loop quantum gravity is unavoidable to complete the theory. We explain that such a construction is equivalent to obtaining the continuum physical Hilbert space, which encodes the solutions of the theory. We present iterative coarse graining methods to construct physical states in a truncation scheme and explain in which sense this scheme represents a renormalization flow. We comment on the role of diffeomorphism symmetry as an indicator for the continuum limit.
Subfields: Atomic and Molecular Physics, and Optics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/47c273255fd0cbda352bea1b0256deea864c6abd
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In Atomic and Molecular Physics, and Optics
In Nuclear and High Energy Physics
In Statistical and Nonlinear Physics
Citations in the corpus
- An Asymptotically Safe Guide to Quantum Gravity and Matter (2018, background): “Interacting fixed points play a role in several different approaches (see, e.g., Eichhorn and Koslowski, 2013, 2018; Ambjorn et al., 2014; Benedetti et al., 2015; Bahr and Steinhaus, 2016, 2017; Dittrich et al., 2016a,b; Dittrich, 2017; Ben Geloun et al., 2018) and references therein.”
- Dimension and dimensional reduction in quantum gravity (2017, background): “gravity, a theory that has a minimum area, it has been suggested that consistency conditions under coarse-graining may be similar to the asymptotic safety requirement of a nontrivial ultraviolet fixed point [61].”