Noncompact nonlinear sigma models and numerical quantum gravity
| Autor: | Rob Harrington, Bryce S. DeWitt, Arie Kapulkin, Eric Myers |
|---|---|
| Rok vydání: | 1991 |
| Předmět: |
Physics
Coupling constant Nuclear and High Energy Physics Sigma model Lattice field theory Asymptotic safety in quantum gravity Atomic and Molecular Physics and Optics Renormalization High Energy Physics::Theory Theoretical physics symbols.namesake Classical mechanics symbols Feynman diagram Quantum gravity Quantum field theory |
| Zdroj: | Nuclear Physics B - Proceedings Supplements. 20:744-747 |
| ISSN: | 0920-5632 |
| DOI: | 10.1016/0920-5632(91)91013-a |
| Popis: | The O (2,1) nonlinear sigma model is a useful stepping stone toward determining whether or not a consistent quantum theory of gravity (based on the Einstein-Hilbert action) exists. Like gravity, the sigma model is not perturbatively renormalizable, and corresponding Feynman graphs in the two theories have the same naive degrees of divergence. Both theories also have a single overall dimensionful coupling constant, and both have a configuration space which is noncompact and curved. The sigma model allows one to study the renormalizability properties of such theories without the added complications of local symmetries. We will report the latest results of lattice field theory simulations of the O (2,1) sigma model, the purpose of which is to determine if the model is nonperturbatively renormalizable. The implications for a quantum theory of gravity are also discussed. |
| Databáze: | OpenAIRE |
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