Strings, loops and others: a critical survey of the present approaches to quantum gravity

Details Strings, loops and others: a critical survey of the present approaches to quantum gravity Strings, loops and others: a critical survey of the present approaches to quantum gravity

1998-03-05

arxiv.org/abs/gr-qc/9803024v3

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Plenary lecture on quantum gravity at the GR15 conference, Pune, India

Scientific paper

I review the present theoretical attempts to understand the quantum properties of spacetime. In particular, I illustrate the main achievements and the main difficulties in: string theory, loop quantum gravity, discrete quantum gravity (Regge calculus, dynamical triangulations and simplicial models), Euclidean quantum gravity, perturbative quantum gravity, quantum field theory on curved spacetime, noncommutative geometry, null surfaces, topological quantum field theories and spin foam models. I also briefly review several recent advances in understanding black hole entropy and attempt a critical discussion of our present understanding of quantum spacetime.

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