# 2D manifold-independent spinfoam theory

@article{Livine20012DMS, title={2D manifold-independent spinfoam theory}, author={Etera R. Livine and Alejandro Perez and Carlo Rovelli}, journal={Classical and Quantum Gravity}, year={2001}, volume={20}, pages={4425-4445} }

A number of background-independent quantization procedures have recently been employed in 4D nonperturbative quantum gravity. We investigate and illustrate these techniques and their relation in the context of a simple 2D topological theory. We discuss canonical quantization, loop or spin network states, path integral quantization over a discretization of the manifold, spin foam formulation and the fully background-independent definition of the theory using an auxiliary field theory on a group…

## 23 Citations

### Spinfoam 2d quantum gravity and discrete bundles

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- 2005

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### 3D spinfoam quantum gravity: matter as a phase of the group field theory

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An effective field theory for matter coupled to three-dimensional quantum gravity was recently derived in the context of spinfoam models (Freidel and Livine 2006 Phys. Rev. Lett. 96 221301 (Preprint…

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### Spin Foam Models for Quantum Gravity

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In this topical review, we review the present status of the spin foam formulation of non-perturbative (background-independent) quantum gravity. The topical review is divided into two parts. In the…

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- 2008

Four-dimensional BF theory admits a natural coupling to extended sources supported on two-dimensional surfaces or string world sheets. Solutions of the theory are in one to one correspondence with…

### The Spin-Foam Approach to Quantum Gravity

- PhysicsLiving reviews in relativity
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The present status of the spin-foam approach to the quantization of gravity is reviewed and the pedagogical presentation of the recently-introduced new models for four-dimensional quantum gravity is paid to.

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