Conformal loop quantum gravity : avoiding the Barbero-Immirzi ambiguity with a scalar-tensor theory
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| Title: | Conformal loop quantum gravity : avoiding the Barbero-Immirzi ambiguity with a scalar-tensor theory |
|---|---|
| Authors: | Veraguth, Olivier J. |
| Summary: | In the construction of Canonical Loop Quantum Gravity, General Relativity is rewritten in terms of the Ashtekar variables to simplify its quantisation. They consist of a densitised triad and a connection terms. The latter depends by definition and by construction on a free parameter β, called the Barbero–Immirzi parameter. This freedom is passed on to the quantum theory as it appears in the expressions of certain operators. Their discreet spectra depend on the arbitrary value of this parameter β, meaning that the scale of those spectra is not uniquely defined. To get around this ambiguity, we propose to consider a theory of Conformal Loop Quantum Gravity, by imposing a local conformal symmetry through the addition of a scalar field. We construct our theory starting from the usual Einstein–Hilbert action for General Relativity to which we add the action for the massless scalar field and rewrite it in terms of a new set of Ashtekar-like variables. They are constructed through a set of canonical transformations, which allow to move the Barbero–Immirzi parameter from the connection to the scalar variable. We then show that the theory can be quantised by fulfilling the conditions for a Dirac quantisation. Finally, we present some first elements of the quantum formalism. It is expected that with such a scalar-tensor theory, the quantum operators should not depend on the free parameter directly but rather on the dynamical scalar field, solving therefore the ambiguity. |
| URL: | https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.742422 |
| Database: | OpenDissertations |
| FullText | Text: Availability: 0 |
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| Header | DbId: ddu DbLabel: OpenDissertations An: ddu.oai.ethos.bl.uk.742422 AccessLevel: 6 PubType: Dissertation/ Thesis PubTypeId: dissertation PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Conformal loop quantum gravity : avoiding the Barbero-Immirzi ambiguity with a scalar-tensor theory – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Veraguth%2C+Olivier+J%2E%22">Veraguth, Olivier J.</searchLink> – Name: Abstract Label: Summary Group: Ab Data: In the construction of Canonical Loop Quantum Gravity, General Relativity is rewritten in terms of the Ashtekar variables to simplify its quantisation. They consist of a densitised triad and a connection terms. The latter depends by definition and by construction on a free parameter β, called the Barbero–Immirzi parameter. This freedom is passed on to the quantum theory as it appears in the expressions of certain operators. Their discreet spectra depend on the arbitrary value of this parameter β, meaning that the scale of those spectra is not uniquely defined. To get around this ambiguity, we propose to consider a theory of Conformal Loop Quantum Gravity, by imposing a local conformal symmetry through the addition of a scalar field. We construct our theory starting from the usual Einstein–Hilbert action for General Relativity to which we add the action for the massless scalar field and rewrite it in terms of a new set of Ashtekar-like variables. They are constructed through a set of canonical transformations, which allow to move the Barbero–Immirzi parameter from the connection to the scalar variable. We then show that the theory can be quantised by fulfilling the conditions for a Dirac quantisation. Finally, we present some first elements of the quantum formalism. It is expected that with such a scalar-tensor theory, the quantum operators should not depend on the free parameter directly but rather on the dynamical scalar field, solving therefore the ambiguity. – Name: URL Label: URL Group: URL Data: <link linkTarget="URL" linkTerm="https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.742422" linkWindow="_blank">https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.742422</link> |
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| RecordInfo | BibRecord: BibEntity: Languages: – Code: eng Text: English Subjects: – SubjectFull: 530 Type: general – SubjectFull: Quantum gravity ; Scalar field theory ; Variables (Mathematics) ; Transformations (Mathematics) Type: general Titles: – TitleFull: Conformal loop quantum gravity : avoiding the Barbero-Immirzi ambiguity with a scalar-tensor theory Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Veraguth, Olivier J. IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 01 Type: published Y: 2017 |
| ResultId | 1 |
