Loop Quantum Gravity: Introduction and Recent Developments
Student No.:50
Time:Tue/Wed 15:10-17:00, 2016-06-01~ 2016-06-28
Instructor:Muxin Han  [Florida Atlantic University]
Place:Conference Room 4, Floor 2, Jin Chun Yuan West Building
Starting Date:2016-6-1
Ending Date:2016-6-28



Loop Quantum Gravity (LQG) is a non-perturbative and background independent approach to Quantum Gravity in 4-dimensions. Many new progresses of the theory have been made in recent years. In this series of lectures, I will introduce both the basics and advances of the theory, and guide the audience to the frontier this area. I will start with introducing the phase space of the theory, as well as its quantization. After that I will introduce the covariant dynamics of LQG, which is also known as spinfoam formalism. The formalism constructs non-perturbatively the wave functions (spinfoam amplitudes) for Quantum Gravity in 4-dimensions. The semiclassical analysis in LQG will be presented in the lectures, to show that the wave functions indeed reproduce classical gravity in 4d at infrared, while modifying general relativity at ultraviolet. I will also present the recent developments on the relations among LQG in 4d, Chern-Simons theory on 3-manifold, and 6d (0,2) superconformal field theory. If time permits, I will introduce the recent developments of black hole physics and cosmology in LQG.





Basics of group representation theory. Basics in General Relativity.





M.Han, W. Huang, Y. Ma, Fundamental Structure of Loop Quantum Gravity, arXiv:gr-qc/0509064


C. Rovelli, F. Vidotto, Covariant Loop Quantum Gravity: An Elementary Introduction to Quantum Gravity and Spinfoam Theory (CUP 2015)


H. Haggard, M. Han, W. Kaminski, A. Riello, SL(2,C) Chern-Simons Theory, Flat Connections, and Four-dimensional Quantum Geometry, arXiv:1512.07690