Renormalization of 3d quantum gravity from matrix models
Copyright policy )Renormalization of 3d quantum gravity from matrix models
Lorentzian simplicial quantum gravity is a non-perturbatively defined theory of quantum gravity which predicts a positive cosmological constant. Since the approach is based on a sum over space-time histories, it is perturbatively non-renormalizable even in three dimensions. By mapping the three-dimensional theory to a two-matrix model with ABAB interaction we show that both the cosmological and the (perturbatively) non-renormalizable gravitational coupling constant undergo additive renormalizations consistent with canonical quantization.
14 pages, 3 figures
- Niels Bohr Institute Denmark
- Jagiellonian University Poland
- Utrecht University Netherlands
- University of Copenhagen Denmark
- Copenhagen University Denmark
Analogues of general relativity in lower dimensions, High Energy Physics - Theory, Nuclear and High Energy Physics, High Energy Physics - Theory (hep-th), Natuur- en Sterrenkunde, FOS: Physical sciences, Quantization of the gravitational field, Lattice gravity, Regge calculus and other discrete methods in general relativity and gravitational theory, Gravitational interaction in quantum theory
Analogues of general relativity in lower dimensions, High Energy Physics - Theory, Nuclear and High Energy Physics, High Energy Physics - Theory (hep-th), Natuur- en Sterrenkunde, FOS: Physical sciences, Quantization of the gravitational field, Lattice gravity, Regge calculus and other discrete methods in general relativity and gravitational theory, Gravitational interaction in quantum theory
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