Chapter

Quantum gravity with connections and loops

Claus Kiefer

in Quantum Gravity

Published in print April 2012 | ISBN: 9780199585205
Published online May 2012 | e-ISBN: 9780191739378 | DOI: http://dx.doi.org/10.1093/acprof:oso/9780199585205.003.0006

Series: International Series of Monographs on Physics

Quantum gravity with connections and loops

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This chapter does for the connection and loop variables what is done for the metric variables in Chapter 5. Loop quantum gravity is discussed in detail. Its canonical variables are holonomies and fluxes. A central role in the formalism is played by the spin network states, which are discussed at length. Particular attention is focused on the quantization of area operators and its consequences. The quantum Hamiltonian constraint is discussed and the limits of our understanding are disclosed in a transparent way.

Keywords: Loop quantum gravity; connection variables; quantization of area; holonomies; Hamiltonian constraint; spin networks

Chapter.  9106 words.  Illustrated.

Subjects: Mathematical and Statistical Physics

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