A First Course in Loop Quantum Gravity

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OUP Oxford, 22 set 2011 - 183 pagine
This book provides an accessible introduction to loop quantum gravity and some of its applications, at a level suitable for undergraduate students and others with only a minimal knowledge of college level physics. In particular it is not assumed that the reader is familiar with general relativity and only minimally familiar with quantum mechanics and Hamiltonian mechanics. Most chapters end with problems that elaborate on the text, and aid learning. Applications such as loop quantum cosmology, black hole entropy and spin foams are briefly covered. The text is ideally suited for an undergraduate course in the senior year of a physics major. It can also be used to introduce undergraduates to general relativity and quantum field theory as part of a 'special topics' type of course.
 

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Indice

1 Why quantize gravity?
1
2 Special relativity and electromagnetism
8
3 Some elements of general relativity
23
4 Hamiltonian mechanics including constraints and fields
47
5 YangMills theories
62
6 Quantum mechanics and elements of quantum field theory
71
7 General relativity in terms of Ashtekars new variables
91
8 Loop representation for general relativity
104
loop quantum cosmology
124
10 Further developments
134
11 Open issues and controversies
168
References
174
Index
181
Copyright

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Informazioni sull'autore (2011)

Rodolfo Gambini did his undergraduate work at the University of the Republic of Uruguay, went for a Ph.D. at the University of Paris and joined the faculty at the Universidad Simon Bolivar in Venezuela. He returned to Uruguay in 1997 where he has been director of several government funding agencies in addition to being a Professor at the University of the Republic. He has won the Trieste Prize in Physics, the presidential prize for scientific accomplishment inUruguay and received an honorary doctorate from the University of the Republic.Jorge Pullin did his undergraduate work at the Instituto Balseiro in Bariloche, Argentina, did his Ph.D. thesis work at the University of Cordoba and moved as a post-doc to Syracuse University and the University of Utah. He became a faculty member at PennState and in 2001 joined the Louisiana State University as the HoraceHearne Chair in Theoretical Physics. He is the co-director of the Horace Hearne Institute of Theoretical Physics and the former co-director of the Center for Computation and Technology at the Louisiana State University. He was the chair of the Topical Group in Gravitation of the American Physical Society and served on the editorial boards of Classical and Quantum Gravity and the New Journal of Physics. He is currently on the board of Living Reviews, Papers in Physics, is managing editor ofInternational Journal of Modern Physics D and founding editor of Physical Review X.

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