2017
DOI: 10.1103/physrevd.96.084011
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Immirzi parameter without Immirzi ambiguity: Conformal loop quantization of scalar-tensor gravity

Abstract: Conformal loop quantum gravity provides an approach to loop quantization through an underlying conformal structure i.e. conformally equivalent class of metrics. The property that general relativity itself has no conformal invariance is reinstated with a constrained scalar field setting the physical scale. Conformally equivalent metrics have recently been shown to be amenable to loop quantization including matter coupling. It has been suggested that conformal geometry may provide an extended symmetry to allow a… Show more

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Cited by 19 publications
(25 citation statements)
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“…Although variables of the same form have previously appeared in Ref. [29], where they were derived in a specific ST theory excluding GR and matter coupling, here we have demonstrated the conformal Ashtekar-Barbero variables further arise from a large general class of gravity theories covering GR, ST, dilatonic gravity. In addition, we show that our formalism is preserved for matter coupling with SM-type theories.…”
Section: Conclusion and Discussionsupporting
confidence: 63%
See 3 more Smart Citations
“…Although variables of the same form have previously appeared in Ref. [29], where they were derived in a specific ST theory excluding GR and matter coupling, here we have demonstrated the conformal Ashtekar-Barbero variables further arise from a large general class of gravity theories covering GR, ST, dilatonic gravity. In addition, we show that our formalism is preserved for matter coupling with SM-type theories.…”
Section: Conclusion and Discussionsupporting
confidence: 63%
“…For a single scalar field, Hamiltonian constraint (29) recovers the Hamiltonian constraint in Ref. [29]. The corresponding Hamiltonian density also takes the form of Eq.…”
Section: Scale-invariant Gravity-scalar-matter Systemmentioning
confidence: 67%
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“…The holonomy correction in STT can be studied either in the Einstein frame or in the Jordan frame. In the Einstein frame, one first performs the conformal transformation to connection variable and then applies the polymer quantization of LQC to the transformed connection [15], while in the Jordan frame one directly quantizes the connection variable. For simplicity, the effects of holonomy correction in STT were mainly investigated in the Einstein frame in many particular models of STT over the past decade, such as the model with nonminimal coupling ξφ 2 [16,17], f (R) gravity and Brans-Dicke (BD) theory [18][19][20][21].…”
Section: Introductionmentioning
confidence: 99%