An introduction to quantum gravity

Details An introduction to quantum gravity An introduction to quantum gravity

2011-08-16

arxiv.org/abs/1108.3269v1

Physics

High Energy Physics

High Energy Physics - Theory

58 pages, Latex, invited contribution to Section 6.7.17 of the Encyclopedia of Life Support Systems (EOLSS) under the auspices

Scientific paper

Quantum gravity was born as that branch of modern theoretical physics that tries to unify its guiding principles, i.e., quantum mechanics and general relativity. Nowadays it is providing new insight into the unification of all fundamental interactions, while giving rise to new developments in mathematics. The various competing theories, e.g. string theory and loop quantum gravity, have still to be checked against observations. We review the classical and quantum foundations necessary to study field-theory approaches to quantum gravity, the passage from old to new unification in quantum field theory, canonical quantum gravity, the use of functional integrals, the properties of gravitational instantons, the use of spectral zeta-functions in the quantum theory of the universe, Hawking radiation, some theoretical achievements and some key experimental issues.

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