Quantum Gravity as a quantum field theory of simplicial geometry

Abstract

This is an introduction to the group field theory approach to quantum gravity, with emphasis on motivations and basic formalism, more than on recent results; we elaborate on the various ingredients, both conceptual and formal, of the approach, giving some examples, and we discuss some perspectives of future developments.

birkmult,cls; 23 pages, 12 figures; to be published in 'Mathematical and Physical Aspects of Quantum Gravity', B. Fauser, J. Tolksdorf and E. Zeidler eds, Birkhaeuser, Basel (2006); v2: typos corrected, several points clarified, section on GFT definition of canonical inner product added

Cited by in corpus (3)

• Ward identities and combinatorics of rainbow tensor models
• Fermions in three-dimensional spinfoam quantum gravity
• The relation between Geometry and Matter in classical and quantum Gravity and Cosmology