Learning about Quantum Gravity with a Couple of Nodes

Symmetry Integrability and Geometry-Methods and Applications

article

Enrique F. Borja¹  Iñaki Garay¹  Francesca Vidotto⁴ 

[1] Institute for Theoretical Physics III, University of Erlangen-Nürnberg;Centro Mixto Universidad de Valencia-CSIC, Universidad de Valencia;Universidad del País Vasco;Laboratoire de Physique Subatomique et de Cosmologie;Centre de Physique Théorique de Luminy

关键词: discrete gravity;    canonical quantization;    spinors;    spinfoam;    quantum cosmology;   

DOI  :  10.3842/SIGMA.2012.015

来源: National Academy of Science of Ukraine

【 摘 要 】

Loop Quantum Gravity provides a natural truncation of the infinite degrees of freedom of gravity, obtained by studying the theory on a given finite graph. We review this procedure and we present the construction of the canonical theory on a simple graph, formed by only two nodes. We review the U( N ) framework, which provides a powerful tool for the canonical study of this model, and a formulation of the system based on spinors. We consider also the covariant theory, which permits to derive the model from a more complex formulation, paying special attention to the cosmological interpretation of the theory.

【 授权许可】

Unknown