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Abhay Ashtekar has just posted a surehanded insightful survey of the main approaches to QG, focusing on current Loop hamiltonian and spinfoam developments. The first 8 or 9 pages give historical perspective. The next section gives a pedagogical introduction which will serve well the needs of newcomers. The last third is a perceptive account of what problems are currently driving Loop research and what potential developments he sees on the horizon. This last was especially interesting.
http://arxiv.org/abs/1201.4598
Introduction to Loop Quantum Gravity
Abhay Ashtekar
(Submitted on 22 Jan 2012)
This article is based on the opening lecture at the third quantum geometry and quantum gravity school sponsored by the European Science Foundation and held at Zakopane, Poland in March 2011. The goal of the lecture was to present a broad perspective on loop quantum gravity for young researchers. The first part is addressed to beginning students and the second to young researchers who are already working in quantum gravity.
30 pages, 2 figures.
http://arxiv.org/abs/1201.4598
Introduction to Loop Quantum Gravity
Abhay Ashtekar
(Submitted on 22 Jan 2012)
This article is based on the opening lecture at the third quantum geometry and quantum gravity school sponsored by the European Science Foundation and held at Zakopane, Poland in March 2011. The goal of the lecture was to present a broad perspective on loop quantum gravity for young researchers. The first part is addressed to beginning students and the second to young researchers who are already working in quantum gravity.
30 pages, 2 figures.