Introduction to SU(2) recoupling theory and graphical methods for loop quantum gravity
arXiv:1910.06821
Abstract
We present a pedagogical introduction to SU(2) recoupling theory, focusing on those aspects of the topic which are useful for practical calculations in loop quantum gravity. In particular, we give a self-contained presentation of the powerful graphical formalism, which is an indispensable tool for performing computations in the spin network basis of loop quantum gravity. The use of the graphical techniques in loop quantum gravity is illustrated by several detailed example calculations. Plenty of exercises are included for the benefit of the ambitious student.
66 pages. Based on material from the author's PhD thesis. v2: a few minor corrections
References in corpus (9)
- A new spinfoam vertex for quantum gravity
- The complete LQG propagator: I. Difficulties with the Barrett-Crane vertex
- From twistors to twisted geometries
- U(N) tools for Loop Quantum Gravity: The Return of the Spinor
- Gauge-invariant coherent states for Loop Quantum Gravity I: Abelian gauge groups
- Hamiltonian operator for loop quantum gravity coupled to a scalar field
- An elementary introduction to loop quantum gravity
- Loop expansion and the bosonic representation of loop quantum gravity
- Coherent 3j-symbol representation for the loop quantum gravity intertwiner space