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A new vacuum for Loop Quantum Gravity

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arxiv 1401.6441 v2 pith:FJOYGUKJ submitted 2014-01-24 gr-qc hep-thmath-phmath.MP

Bianca Dittrich , Marc Geiller This is my paper · ORCID
classification gr-qchep-thmath-phmath.MP
keywords vacuumgravityquantumloopconstructdimensionalphysicalalgebra
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abstract

We construct a new vacuum for loop quantum gravity, which is dual to the Ashtekar-Lewandowski vacuum. Because it is based on BF theory, this new vacuum 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 which is cylindrically consistent with respect to the notion of refinement by time evolution suggested in [1]. This supports the proposal for a construction of a physical vacuum made in [1,2], also for $(3+1)$-dimensional gravity. We expect that the vacuum introduced here will facilitate the extraction of large scale physics and cosmological predictions from loop quantum gravity.

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Cited by 4 Pith papers

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    The one-loop effective action from the LQG coherent state path integral is computed and found to be UV-finite, with the dynamical area j0 > 0 at the quantum level.

  3. New Loop Quantum Cosmology Modifications from Gauge-covariant Fluxes

    gr-qc 2019-08 conditional novelty 6.0 of 10

    Gauge-covariant flux corrections in loop quantum cosmology produce an asymmetric quantum bounce with a (2/pi)^4 rescaling of Newton's constant in the pre-bounce branch.

  4. Quantum Gravity, Hydrodynamics and Emergent Cosmology: A Collection of Perspectives

    gr-qc 2024-11 unverdicted novelty 4.0 of 10

    The paper argues that an effective 'hydrodynamics on superspace' framework, realized in TGFT condensate cosmology, can unify quantum gravity and cosmology.

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