2018
DOI: 10.1103/physrevd.98.023505
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Deriving loop quantum cosmology dynamics from diffeomorphism invariance

Abstract: We use the requirement of diffeomorphism invariance in the Bianchi I context to derive the form of the quantum Hamiltonian constraint. After imposing the correct classical behavior and making a certain minimality assumption, together with a certain restriction to "planar loops", we then obtain a unique expression for the quantum Hamiltonian operator for Bianchi I to both leading and subleading orders in . Specifically, this expression is found to exactly match the form proposed by Ashtekar and Wilson-Ewing in … Show more

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Cited by 12 publications
(21 citation statements)
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“…As a result, the way Planck scale physics in LQC changes as we bring it closer to methods of LQG is an important question to be answered to understand robustness and reliability of phenomenological predictions. One way to answer these questions would be to explore the cosmological sector of LQG which has recently attracted a lot of activity [19][20][21][22][23][24][25][26]. A preliminary insight from these investigations is that the physics, at least of singularity resolution, should change from standard LQC [22][23][24][25][26].…”
Section: Discussionmentioning
confidence: 99%
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“…As a result, the way Planck scale physics in LQC changes as we bring it closer to methods of LQG is an important question to be answered to understand robustness and reliability of phenomenological predictions. One way to answer these questions would be to explore the cosmological sector of LQG which has recently attracted a lot of activity [19][20][21][22][23][24][25][26]. A preliminary insight from these investigations is that the physics, at least of singularity resolution, should change from standard LQC [22][23][24][25][26].…”
Section: Discussionmentioning
confidence: 99%
“…Indeed, the properties of a system with gauge covariant fluxes will be vastly different than before and uncover many unexpected features as we will discuss below. Moreover, when restricting the µ 0 scheme to a compact torus, the dependence of the coordinate volume accounts merely to a diffeomorphism dependency [21]. Therefore to understand restrictions on any regularization one needs to carefully study diffeomorphism invariant observables.…”
Section: Regularized Dynamics For Gauge-covariant Fluxesmentioning
confidence: 99%
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“…standard [30,31,47] versus Thiemann regularization [41,43] and (iii) LQC based on holonomies and triads [31,47], or based on holonomies and gauge-covariant fluxes [50,51]. The first ambiguity has been well explored in standard LQC using conventional quantization based on holonomies and triads [32,53], but no such investigation has been carried out using gauge-covariant fluxes. Given that gauge-covariant fluxes radically change the nature of gravitational and matter parts of constraints, it is pertinent to explore the fate of µ 0 andμ-schemes when modifications due to gauge-covariant fluxes non-trivially affect the Hamiltonian constraint.…”
Section: Introductionmentioning
confidence: 99%
“…While this success is extraordinary, so far little is known about relating LQG and LQC, and the derivation of the cosmological sector of LQG is an open issue [9]. Further, some of the field theoretical aspects of LQG are not yet fully incorporated in LQC.…”
mentioning
confidence: 99%