The Loop Quantum Gravity Group of NUS
Making Loop Quantum Gravity accessible to fresh graduates.
A fresh graduate wanting to do research in LQG always finds it so difficult to gain entry into this field. LQG unlike String Theory is notoriously difficult to be understood by beginners, because of various different and confusing notations used, deep and involved mathematical skills needed, very sparce novice-friendly resources and skipping of derivation steps in all review papers.
We collect and arrange LQG references into a reading list for fresh graduate researchers to use. If you know or want to contribute a reference that is important to LQG research and easily accessible to fresh graduates, send it to us: kakarukeys@gmail.com. Support our mission!
Here's our arranged collection of LQG material, in descending order of significance/easiness, or by recommended reading sequence, or in chronological order.
Books
Mathematics
- Peter Szekeres, A Course in Modern Mathematical Physics : Groups, Hilbert Space and Differential Geometry
- John Baez, Gauge fields, Knots and Gravity
- Chris Isham, modern differential geometry for physicists
- Mikio Nakahara, geometry, topology and physics (Optional)
- Gambini, Pullin, Loops, Knots, Gauge Theories and Quantum Gravity (HARD)
Physics
- Thomas Thiemann, Modern Canonical Quantum General Relativity (FINALLY, a book has everything we need.)
- Ashtekar, Lectures on non-perturbative canonical gravity (On old variables)
- Ashtekar, New Perspectives in Canonical Gravity and Errata (On old variables)
- Rovelli, Quantum Gravity
- Robert M. Wald, General Relativity, University of Chicago Press, 1984. Chapter 10 describes the initial value formulation of GR while Appendix E covers the Lagrangian and Hamiltonian formulations.
- Eric Poisson, A Relativist's Toolkit, The Mathematics of Black-Hole Mechanics. This is the most comprehensive guide to Lagrangian and Hamiltonian formulations of General Relativity.
Review Papers
- Alejandro Perez, Introduction to LQG and Spin Foams
- Thomas Thiemann, Lectures on Loop Quantum Gravity
- Thomas Thiemann, Introduction to Modern Canonical Quantum GR
- Alejandro Corichi, Loop Quantum Geometry: A primer
- Muxin Han, Quantum Dyanmics of Loop Quantum Gravity
- Hermann Nicolai, Loop quantum gravity: an outside view
- Thomas Thiemann, Loop Quantum Gravity: An Inside View
- Abhay Ashtekar, Jerzy Lewandowski, Background Independent Quantum Gravity: A Status Report
- Abhay Ashtekar, Four Recent Advances and a Dozen Frequently Asked Questions
- Peter Peldan, Actions for Gravity, with Generalizations: A Review
- Marcus Gaul, Carlo Rovelli, LQG and the meaning of Diffeomorphism Invariance
- Hideo Kodama, Quantum Gravity by the Complex Canonical Formulation
- Lee Smolin, An invitation to LQG
- Jorge Pullin, Canonical quantization of general relativity: the last 18 years in a nutshell
- Lee Smolin, How far are we from the quantum theory of gravity?
"READABLE" Papers
- Andrew DeBenedictis, Integration in General Relativity
- Hans-Juergen Matschull, Dirac's Canonical Quantization Programme
- R. Arnowitt, S. Deser, C. W. Misner, The Dynamics of General Relativity
- David Wallace, The Quantization of Gravity - An Introduction
- Domenico Giulini, Ashtekar Variables in Classical General Relativity
- C?ric B?y, The Ashtekar Hamiltonian for General Relativity
- Romano, Geometrodynamics vs. Connection Dynamics
- John C. Baez's Spin networks in nonperturbative quantum gravity
- Seth A. Major's A Spin Network Primer
- Carlo Rovelli, Peush Upadhya, Loop quantum gravity and quanta of space: a primer
- Alejandro Corichi, Jacobo Diaz-Polo, Enrique Fernandez-Borja, Quantum geometry and microscopic black hole entropy
Notes/Seminars
- Presentation given by Wong Jiang Fung to lure people into the group.
- Part 2
- Supplement to Part 2
- Lecture notes on Projective Geometry, Geometry of Surfaces, Differentiable Manifolds.
- Seminar 1, 2 (Wayne Lawton)
- Connections on general fiber bundles (Wayne Lawton)
- Vierbein vs Tensor (Leek Meng Lee)
- The Matrix Cookbook
- Soo Chopin's seminars, Modern Canonical Quantum Gravity, Figure.
- This is what Chopin meant by a series of canonical transformations: Derivation of Ashtekar variables from tetrad gravity, Phys. Rev. D 39, 434-437 (1989).
- Lee Smolin's Lectures on Quantum Gravity (search for the link "Introduction to quantum gravity" on the left panel).
- Preliminary exercises for you to do, before tackling spin networks.
- Scientific American article on Loop Quantum Gravity. Encrypted.
- Andreas Keil's Recoupling Theory notes: 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | answers to exercises.
Links
Search for formulae and theorems
Search for papers
Search e-prints Archive
Type your keywords after the "site:arxiv.org " line.
Search John Baez's This Week's Finds
Type your keywords after the "site:math.ucr.edu/home/baez/ " line.
Search Living Reviews in Relativity
Type your keywords after the "site:relativity.livingreviews.org/ " line.
Send email to us: kakarukeys@gmail.com to add/correct anything.
The Loop Quantum Gravity Group of NUS is supported by Department of Physics, National University of Singapore. The webmaster of this website also maintains TheLocalKing - local reviews of nice places, restaurants, products, entertainment in Singapore.
