Discrete Gravity Models and Loop Quantum Gravity: a Short Review

Symmetry Integrability and Geometry-Methods and Applications

article

Maïté Dupuis¹  James P. Ryan²  Simone Speziale³ 

[1] Institute for Theoretical Physics III, University of Erlangen-Nürnberg;MPI für Gravitationsphysik;Centre de Physique Théorique

关键词: Loop Quantum Gravity;    discrete gravity;    Regge calculus;    simplicity constraints;    twisted geometries;   

DOI  :  10.3842/SIGMA.2012.052

来源: National Academy of Science of Ukraine

【 摘 要 】

We review the relation between Loop Quantum Gravity on a fixed graph and discrete models of gravity. We compare Regge and twisted geometries, and discuss discrete actions based on twisted geometries and on the discretization of the Plebanski action. We discuss the role of discrete geometries in the spin foam formalism, with particular attention to the definition of the simplicity constraints.

【 授权许可】

Unknown