Lessons from Toy-Models for the Dynamics of Loop Quantum Gravity

Symmetry Integrability and Geometry-Methods and Applications

article

Valentin Bonzom¹  Alok Laddha² 

[1] Perimeter Institute for Theoretical Physics;Institute for Gravitation and the Cosmos, Pennsylvania State University, University Park

关键词: Hamiltonian constraint;    loop quantum gravity;    parametrized field theories;    topological BF theory;    discrete gravity;   

DOI  :  10.3842/SIGMA.2012.009

来源: National Academy of Science of Ukraine

【 摘 要 】

We review some approaches to the Hamiltonian dynamics of (loop) quantum gravity, the main issues being the regularization of the Hamiltonian and the continuum limit. First, Thiemann's definition of the quantum Hamiltonian is presented, and then more recent approaches. They are based on toy models which provide new insights into the difficulties and ambiguities faced in Thiemann's construction. The models we use are parametrized field theories, the topological BF model of which a special case is three-dimensional gravity which describes quantum flat space, and Regge lattice gravity.

【 授权许可】

Unknown