Modern physics rests on two fundamental building blocks: general
relativity and quantum theory. General relativity is a geometric
interpretation of gravity while quantum theory governs the
microscopic behaviour of matter. Since matter is described by
quantum theory which in turn couples to geometry, we need a quantum
theory of gravity. In order to construct quantum gravity one must
reformulate quantum theory on a background independent way. Modern
Canonical Quantum General Relativity provides a complete treatise
of the canonical quantisation of general relativity. The focus is
on detailing the conceptual and mathematical framework, on
describing physical applications and on summarising the status of
this programme in its most popular incarnation, called loop quantum
gravity. Mathematical concepts and their relevance to physics are
provided within this book, which therefore can be read by graduate
students with basic knowledge of quantum field theory or general
relativity.
General
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