A new vacuum for loop quantum gravity
@article{Dittrich2015ANV, title={A new vacuum for loop quantum gravity}, author={Bianca Dittrich and Marc Geiller}, journal={Classical and Quantum Gravity}, year={2015}, volume={32} }
We construct a new vacuum and representation for loop quantum gravity. Because the new vacuum is based on BF theory, it is physical for (2+1)-dimensional gravity, and much closer to the spirit of spin foam quantization in general. To construct this new vacuum and the associated representation of quantum observables, we introduce a modified holonomy–flux algebra that is cylindrically consistent with respect to the notion of refinement by time evolution suggested in Dittrich and Steinhaus (2013…
73 Citations
Flux formulation of loop quantum gravity: Classical framework
- Physics
- 2014
We recently introduced a new representation for loop quantum gravity (LQG), which is based on the BF vacuum and is in this sense much nearer to the spirit of spin foam dynamics. In the present paper…
New loop quantum cosmology modifications from gauge-covariant fluxes
- PhysicsPhysical Review D
- 2019
Loop quantum cosmology is a symmetry reduced quantization of cosmological spacetimes based on loop quantum gravity. While it has been successful in resolution of various cosmological singularities…
Quantum gravity kinematics from extended TQFTs
- Physics
- 2017
In this paper, we show how extended topological quantum field theories (TQFTs) can be used to obtain a kinematical setup for quantum gravity, i.e. a kinematical Hilbert space together with a…
A new realization of quantum geometry
- Physics, Mathematics
- 2015
We construct in this article a new realization of quantum geometry, which is obtained by quantizing the recently-introduced flux formulation of loop quantum gravity. In this framework, the vacuum is…
Loop quantum gravity coupled to a scalar field
- Physics
- 2016
We reconsider the Rovelli-Smolin model of gravity coupled to the Klein-Gordon time field with an eye towards capturing the degrees of freedom of the scalar field lost in the framework in which time…
Fusion basis for lattice gauge theory and loop quantum gravity
- Physics
- 2016
A bstractWe introduce a new basis for the gauge-invariant Hilbert space of lattice gauge theory and loop quantum gravity in (2 + 1) dimensions, the fusion basis. In doing so, we shift the focus from…
Time Gauge Fixing for 3d Loop Quantum Gravity
- Physics
- 2015
In this work, we review 3-dimensional gravity by canonically analyzing the HilbertPalatini action. We apply a time gauge used in 4-dimensional loop quantum gravity [14] to the simpler case of the…
Towards Gaussian states for loop quantum gravity
- Physics
- 2020
An important challenge in loop quantum gravity is to find semiclassical states - states that are as close to classical as quantum theory allows. This is difficult because the states in the Hilbert…
Dynamics in Canonical Models of Loop Quantum Gravity
- Physics
- 2019
In this thesis we consider the problem of dynamics in canonical loop quantum gravity, primarily in the context of deparametrized models, in which a scalar field is taken as a physical time variable…
Quantum Cosmology from Group Field Theory Condensates: a Review
- Physics
- 2016
We give, in some detail, a critical overview over recent work towards deriving a cosmological phenomenology from the fundamental quantum dynamics of group field the- ory (GFT), based on the picture…
References
SHOWING 1-10 OF 110 REFERENCES
Flux formulation of loop quantum gravity: classical framework
- Physics
- 2014
We recently introduced a new representation for loop quantum gravity (LQG), which is based on the BF vacuum and is in this sense much nearer to the spirit of spin foam dynamics. In the present paper…
Three-dimensional loop quantum gravity: physical scalar product and spin-foam models
- Physics
- 2005
In this paper, we address the problem of the dynamics in three-dimensional loop quantum gravity with zero cosmological constant. We construct a rigorous definition of Rovelli's generalized projection…
Loop Quantum Gravity
- PhysicsLiving reviews in relativity
- 2008
An overview of ideas, techniques, results and open problems of this candidate theory of quantum gravity is given, and a guide to the relevant literature is given.
Linking covariant and canonical loop quantum gravity: New solutions to the Euclidean scalar constraint
- Physics
- 2012
It is often emphasized that spin-foam models could realize a projection on the physical Hilbert space of canonical Loop Quantum Gravity (LQG). As a first test we analyze the one-vertex expansion of a…
On loop quantum gravity kinematics with a non-degenerate spatial background
- Mathematics
- 2010
In a remarkable paper (Koslowski T A 2007 arXiv:0709.3465[gr-qc]), Koslowski introduced kinematical representations for loop quantum gravity in which a non-degenerate spatial background metric is…
On the space of generalized fluxes for loop quantum gravity
- Mathematics, Physics
- 2012
We show that the space of generalized fluxes—momentum space—for loop quantum gravity cannot be constructed by Fourier transforming the projective limit construction of the space of generalized…
Loop quantum gravity vacuum with nondegenerate geometry
- Physics
- 2012
In loop quantum gravity, states of the gravitational field turn out to be excita- tions over a vacuum state that is sharply peaked on a degenerate spatial geometry. While this vacuum is singled out…
Canonical quantization of non-commutative holonomies in 2 + 1 loop quantum gravity
- Physics
- 2011
In this work we investigate the canonical quantization of 2 + 1 gravity with cosmological constant Λ > 0 in the canonical framework of loop quantum gravity. The unconstrained phase space of gravity…
Loop quantum cosmology: a status report
- Physics
- 2011
Loop quantum cosmology (LQC) is the result of applying principles of loop quantum gravity (LQG) to cosmological settings. The distinguishing feature of LQC is the prominent role played by the quantum…