# Quantum Gravity as a Fermi Liquid

@article{Alexander2008QuantumGA, title={Quantum Gravity as a Fermi Liquid}, author={Stephon H. S. Alexander and Gianluca Calcagni}, journal={Foundations of Physics}, year={2008}, volume={38}, pages={1148-1184} }

We present a reformulation of loop quantum gravity with a cosmological constant and no matter as a Fermi-liquid theory. When the topological sector is deformed and large gauge symmetry is broken, we show that the Chern–Simons state reduces to Jacobson’s degenerate sector describing 1+1 dimensional propagating fermions with nonlocal interactions. The Hamiltonian admits a dual description which we realize in the simple BCS model of superconductivity. On one hand, Cooper pairs are interpreted as…

## 25 Citations

### Chiral vacuum fluctuations in quantum gravity

- PhysicsPhysical review letters
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### Quantum cosmology of a dynamical Lambda

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### The Quantum Cosmological Constant

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### Dark energy from topology

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### Cosmological constant: a lesson from Bose-Einstein condensates.

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The direct computation of the cosmological constant shows that in emergent gravity scenarios this constant may be naturally much smaller than the naive ground-state energy of the emergent effective field theory.

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Analogue gravity is based on the simple observation that perturbations propagating in several physical systems can be described by a quantum field theory in a curved spacetime. While phenomena like…

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- 2010

The Barbero–Immirzi parameter is a one-parameter quantization ambiguity underpinning the loop approach to quantum gravity that bears tantalizing similarities to the theta parameter of gauge theories…

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In this communication, we generalize previous work on tensor perturbations in a de Sitter background in terms of Ashtekar variables to cover all complex values of the Immirzi parameter γ (previous…

## References

SHOWING 1-10 OF 273 REFERENCES

### Induced Gravity in Superfluid 3He

- Physics
- 1998

The gapless fermionic excitations in superfluid3He-A have the “relativistic” spectrum close to the gap nodes. This allowed us to model the modern cos-mological scenaria of baryogenesis and…

### Simulation of quantum field theory and gravity in superfluid 3He

- Physics
- 1997

Superfluid phases of 3He are quantum liquids with the interacting fermionic and bosonic fields. In many respects they can simulate the interacting quantum fields in the physical vacuum. One can…

### Quantum gravity and the standard model

- Physics, Mathematics
- 2007

We show that a class of background-independent models of quantum spacetime have local excitations that can be mapped to the first-generation fermions of the standard model of particle physics. These…

### Loop Quantum Gravity

- PhysicsLiving reviews in relativity
- 1998

A general overview of ideas, techniques, results and open problems of this candidate theory of quantum gravity is provided, and a guide to the relevant literature is provided.

### Conformal field theory of composite fermions.

- PhysicsPhysical review letters
- 2007

We show that the quantum Hall wave functions for the ground states in the Jain series nu=n/(2np+1) can be exactly expressed in terms of correlation functions of local vertex operators Vn…

### QUANTUM GEOMETRY AND ITS IMPLICATIONS FOR BLACK HOLES

- Physics
- 2006

General relativity successfully describes space–times at scales that we can observe and probe today, but it cannot be complete as a consequence of singularity theorems. For a long time, there have…