Loop Representations
B. Bruegmann
Abstract
The loop representation plays an important role in canonical quantum gravity because loop variables allow a natural treatment of the constraints. In these lectures we give an elementary introduction to (i) the relevant history of loops in knot theory and gauge theory, (ii) the loop representation of Maxwell theory, and (iii) the loop representation of canonical quantum gravity. (Based on lectures given at the 117. Heraeus Seminar, Bad Honnef, Sept. 1993)
Create a lesson
Related papers
Emergent vacua and stability constraints on black hole solutions in higher-dimensional f(R) gravity
Nicolás Trullols Sandino, Andrei Galiautdinov
Electric and magnetic Penrose processes, charged-particle collisions and superradiance around a Lorentz-violating dyonic black hole
Fernando M. Belchior, Edilberto O. Silva
Conformal Cyclic Cosmology from Varying Fundamental Constants
Konrad Marosek, Adam Balcerzak
Perturbations of black holes with primary hair: time evolutions, quasinormal modes and greybody factors
Georgios Antoniou
Gravitational Lensing of Hayward Black Holes with EFT-Corrected Photon Propagation
Takamasa Kanai
Near-Horizon BMS Symmetry and Implications on Black Hole Entropy
Nihar Ranjan Ghosh, Malay K. Nandy