Abstract
We discuss the non-perturbative renormalization group flow of Quantum Electrodynamics (QED) coupled to Quantum Einstein Gravity (QEG) and explore the possibilities for defining its continuum limit at a fixed point that would lead to a non-trivial, i.e. interacting field theory. We find two fixed points suitable for the Asymptotic Safety construction. In the first case, the fine-structure constant α vanishes at the fixed point and its infrared (“renormalized”) value is a free parameter not determined by the theory itself. In the second case, the fixed point value of α is non-zero, and its infrared value is a computable prediction of the theory.
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Harst, U., Reuter, M. QED coupled to QEG. J. High Energ. Phys. 2011, 119 (2011). https://doi.org/10.1007/JHEP05(2011)119
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DOI: https://doi.org/10.1007/JHEP05(2011)119