# Minkowski vacuum in background independent quantum gravity

@article{Conrady2004MinkowskiVI, title={Minkowski vacuum in background independent quantum gravity}, author={Florian Conrady and Luisa Doplicher and Robert Oeckl and Carlo Rovelli and Massimo Testa}, journal={Physical Review D}, year={2004}, volume={69}, pages={064019} }

We consider a local formalism in quantum field theory, in which no reference is made to infinitely extended spacial surfaces, infinite past or infinite future. This can be obtained in terms of a func- tional W(',�) of the field ' on a closed 3d surfacethat bounds a finite region R of Minkowski spacetime. The dependence of W(',�) onis governed by a local covariant generalization of the Schrodinger equation. Particles' scattering amplitudes that describe experiments conducted in the finite region…

## 40 Citations

Free vacuum for loop quantum gravity

- Physics
- 2004

We linearize extended ADM gravity around the flat torus, and use the associated Fock vacuum to construct a state that could play the role of a 'free' vacuum in loop quantum gravity. The state we…

Spin foams

- Physics
- 2013

Ever since special relativity, space and time have become seamlessly merged into a single entity, and space-time symmetries, such as Lorentz invariance, have played a key role in our fundamental…

General boundary quantum field theory: Foundations and probability interpretation

- Physics
- 2005

We elaborate on the proposed general boundary formulation as an extension of standard quantum mechanics to arbitrary (or no) backgrounds. Temporal transition amplitudes are generalized to amplitudes…

From the Hamiltonian formalism to the Spin-Foams: The final step in LQG?

- Physics
- 2010

Already in ancient Greece, the pre-Socratic philosophers thought that natural phenomena, although different, were homogeneous, of the same fundamental nature. In their theories can be found the…

Se p 20 07 The perturbative Regge-calculus regime of Loop Quantum Gravity

- Physics
- 2008

The relation between Loop Quantum Gravity and Regge calculus has been pointed out many times in the literature. In particular the large spin asymptotics of the Barrett-Crane vertex amplitude is known…

On the expansion of a quantum field theory around a topological sector

- Physics
- 2005

The idea of treating quantum general relativistic theories in a perturbative expansion around a topological theory has recently received attention, in the quantum gravity literature. We investigate…

An Introduction to Loop Quantum Gravity and Its Application to Black Holes by

- Physics
- 2014

This paper provides a brief introduction to Loop Quantum Gravity which is the main competitor of String Theory for a quantized theory of gravity. It is formulated on the basis of a Hamiltonian…

## References

SHOWING 1-10 OF 32 REFERENCES

Functional evolution of free quantum fields

- Physics
- 1999

We consider the problem of evolving the state of a quantum field between any two (in general, curved) Cauchy surfaces. Classically, this dynamical evolution is represented by a canonical…

Quantum Electrodynamics. I. A Covariant Formulation

- Physics
- 1948

Attempts to avoid the divergence difficulties of quantum electrodynamics by multilation of the theory have been uniformly unsuccessful. The lack of convergence does indicate that a revision of…

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.

Wave Function of the Universe

- Mathematics
- 1983

A proposal for the wave function of the "ground state" or state of minimum excitation: the ground-state amplitude for a three-geometry is given by a path integral over all compact positive-definite four-geometries which have the three- geometries as a boundary.

Spacetime as a Feynman diagram: the connection formulation

- Physics
- 2001

Spin-foam models are the path-integral counterparts to loop-quantized canonical theories. Over the last few years several spin-foam models of gravity have been proposed, most of which live on finite…

Schrödinger's cat and the clock: lessons for quantum gravity

- Physics
- 2003

I review basic principles of the quantum mechanical measurement process in view of their implications for a quantum theory of general relativity. It turns out that a clock as an external classical…

The Large N limit of superconformal field theories and supergravity

- Physics, Mathematics
- 1998

We show that the large-N limits of certainconformal field theories in various dimensions includein their Hilbert space a sector describing supergravityon the product of anti-de Sitter spacetimes,…

Lectures on Loop Quantum Gravity

- Physics
- 2002

AbstractQuantum General Relativity (QGR), sometimes called Loop Quantum Gravity, has matured overthe past ﬁfteen years to a mathematically rigorous candidate quantum ﬁeld theory of the gravita-tional…