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Covariant Loop Quantum Gravity

Covariant Loop Quantum Gravity

by Carlo Rovelli

First published 2014 · 266 pages · about 4 hours to read

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About this book

This is a technical textbook on covariant loop quantum gravity, an approach to quantizing general relativity that builds on the loop and spin-network framework and extends it to spacetime histories, known as spinfoams. It is written for graduate students and researchers who already know general relativity and quantum field theory, and it is read as a reference for the spinfoam formalism.

The book starts from the problem of combining general relativity with quantum mechanics and explains why a covariant (spacetime-based) formulation of loop quantum gravity is needed alongside the earlier canonical, Hamiltonian approach.

Summary written with AI from the book's details.

Will you like it?

This book suits graduate students and researchers who already know general relativity and quantum mechanics and want the spinfoam formalism set out in one place. It works through spin networks, amplitudes, and spacetime histories with equations and derivations rather than popular explanation.

  • quantum gravity
  • spin networks
  • spinfoam amplitudes
  • background independence
  • open problems

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Quick answers

What age is Covariant Loop Quantum Gravity for?
Adults.
Is Covariant Loop Quantum Gravity a standalone?
Yes, it stands on its own.
Does Covariant Loop Quantum Gravity have violence, sex or strong language?
Nothing a reader needs warning about.

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Reader's guide

Themesquantum gravity, spin networks, spinfoam amplitudes, background independence, canonical versus covariant, open problems in physics

quantum gravity · spin networks · spinfoam amplitudes · background independence · canonical versus covariant · open problems in physics

StyleFormal and dense, with equations, definitions, and derivations throughout. It is organized as a graduate text with chapters that build on one another. Readers need prior knowledge of general relativity, quantum mechanics, and some group theory. The length is about 266 pages.

Formal and dense, with equations, definitions, and derivations throughout. It is organized as a graduate text with chapters that build on one another. Readers need prior knowledge of general relativity, quantum mechanics, and some group theory. The length is about 266 pages.

How it was writtenCarlo Rovelli, a theoretical physicist who helped develop loop quantum gravity, wrote the book with Francesca Vidotto and published it with Cambridge University Press in 2014. It draws on the research program of the covariant or spinfoam approach that developed through the 2000s.

Carlo Rovelli, a theoretical physicist who helped develop loop quantum gravity, wrote the book with Francesca Vidotto and published it with Cambridge University Press in 2014. It draws on the research program of the covariant or spinfoam approach that developed through the 2000s.

How it was receivedThe book is used as an advanced reference and course text in quantum gravity research. It is mainly read by specialists and graduate students, and it is valued for setting out the spinfoam formalism in one place.

The book is used as an advanced reference and course text in quantum gravity research. It is mainly read by specialists and graduate students, and it is valued for setting out the spinfoam formalism in one place.

Questions to discussWhat does it mean for a theory of quantum gravity to be background independent, and why does that requirement shape the whole approach?

These may talk about the whole book.

  1. What does it mean for a theory of quantum gravity to be background independent, and why does that requirement shape the whole approach?
  2. How does the covariant spinfoam formulation relate to the canonical Hamiltonian formulation of loop quantum gravity?
  3. Why do spin networks serve as the basic quantum states of geometry in this approach?
  4. What evidence would count as a successful semiclassical limit of a spinfoam model?
  5. Which open problems described in the outlook seem hardest, and why?
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