Discretisations, Constraints and Diffeomorphisms in Quantum Gravity

作者：Bahr Benjamin^*; Gambini Rodolfo; Pullin Jorge

来源：Symmetry Integrability and Geometry-Methods and Applications, 2012, 8: 002.

DOI：10.3842/SIGMA.2012.002

• quantum gravity
• diffeomorphisms
• constraints
• consistent discretizations
• gauge symmetries
• perfect actions
• renormalization

In this review we discuss the interplay between discretization, constraint implementation, and diffeomorphism symmetry in Loop Quantum Gravity and Spin Foam models. To this end we review the Consistent Discretizations approach, which is an application of the master constraint program to construct the physical Hilbert space of the canonical theory, as well as the Perfect Actions approach, which aims at finding a path integral measure with the correct symmetry behavior under diffeomorphisms.

• 出版日期2012