Loop Quantum Gravity

The First 30 Years

This volume presents a snapshot of the state-of-the-art in loop quantum gravity from the perspective of younger leading researchers. It takes the reader from the basics to recent advances, thereby bridging an important gap.

The aim is two-fold — to provide a contemporary introduction to the entire field for students and post-docs, and to present an overview of the current status for more senior researchers. The contributions include the latest developments that are not discussed in existing books, particularly recent advances in quantum dynamics both in the Hamiltonian and sum over histories approaches; and applications to cosmology of the early universe and to the quantum aspects of black holes.

Contents:

• Introduction:

  • An Overview (Abhay Ashtekar and Jorge Pullin)

• Foundations of Loop Quantum Gravity:

  • Quantum Geometry (Kristina Giesel)
  • Quantum Dynamics (Alok Laddha and Madhavan Varadarajan)
  • Spinfoam Gravity (Eugenio Bianchi)
  • Group Field Theory and Loop Quantum Gravity (Daniele Oriti)
  • The Continuum Limit of Loop Quantum Gravity: A Framework for Solving the Theory (Bianca Dittrich)

• Applications of Loop Quantum Gravity:

  • Loop Quantum Cosmology (Ivan Agullo and Parampreet Singh)
  • Quantum Geometry and Black Holes (J Fernando Barbero G and Alejandro Perez)
  • Loop Quantum Gravity and Observations (Aurélien Barrau and Julien Grain)

Readership: Graduate students, researchers and academics interested in theoretical physics and cosmology.