John Baez
October 11, 2005
Towards a Spin Foam Model of Quantum Gravity
Spin foam models include several
different classes of physical theories: lattice gauge theories,
dynamical triangulation models of quantum gravity, "chain
mail" quantum field theories, and topological string theories.
Is there a spin foam model of quantum gravity in 4 dimensions? To
address this question, we review recent work on causal dynamical
triangulations and the renormalization group. This
suggests that quantum gravity is a well-defined theory with the
curious property that spacetime is effectively 4-dimensional at large
distance scales, but 2-dimensional at very short distance scales.
This is just what one might expect from a spin foam model,
since spacetime is fundamentally 2-dimensional in these theories.
We discuss properties a spin foam model should have in order to approximate
general relativity at large distance scales.
You can see the transparencies of this talk, and also a video of it:
Here are some of the papers alluded to in this talk, in
the order they're mentioned:
-
Florian Conrady,
Geometric spin foams, Yang-Mills theory and background-independent
models
-
Daniele Oriti,
Spin foam
models of quantum spacetime
-
Alejandro Perez,
Spin foam models
of quantum gravity
-
Carlo Rovelli,
Quantum Gravity, chapter 9.3
-
Jan Ambjørn, J. Jurkiewicz and Renate Loll,
Reconstructing the universe
-
Oliver Lauscher and Martin Reuter,
Fractal
spacetime structure in asymptotically safe gravity
-
Abhay Ashtekar, Donald Marof, Jose Mourao and Thomas
Thiemann,
Constructing Hamiltonian quantum theories from path integrals
in a diffeomorphism invariant context
-
Fotini Markopoulou and Lee Smolin,
Quantum geometry with intrinsic local causality
-
Etera Livine and Daniele Oriti,
Implementing causality in the spin foam quantum geometry
-
Daniele Oriti,
The Feynman propagator for spin foam quantum gravity
-
Carlo Rovelli,
Graviton propagator from background-independent quantum gravity
Here are some general introductions to spin foams:
© 2005 John Baez
baez@math.removethis.ucr.andthis.edu