The correct implementation of the loop quantum gravity to the early homogeneous Universe has been the subject of a long debate in the literature because the SU(2) symmetry cannot be properly retained. The role of this symmetry is expressed by the Gauss constraint. Here, a nonvanishing Gauss constraint is found. However, we show that using suitable variables, it can be recast into three Abelian constraints, justifying the absence of such a symmetry in loop quantum cosmology.

Is the diagonal case a general picture for loop quantum cosmology? / Bruno, Matteo; Montani, Giovanni. - In: PHYSICAL REVIEW D. - ISSN 2470-0010. - 108:4(2023), pp. 1-6. [10.1103/PhysRevD.108.046003]

Is the diagonal case a general picture for loop quantum cosmology?

Bruno, Matteo
;
Montani, Giovanni
2023

Abstract

The correct implementation of the loop quantum gravity to the early homogeneous Universe has been the subject of a long debate in the literature because the SU(2) symmetry cannot be properly retained. The role of this symmetry is expressed by the Gauss constraint. Here, a nonvanishing Gauss constraint is found. However, we show that using suitable variables, it can be recast into three Abelian constraints, justifying the absence of such a symmetry in loop quantum cosmology.
2023
Gauss constraint; quantum cosmology; quantum gravity; bianchi models; loop quantum cosmology
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Is the diagonal case a general picture for loop quantum cosmology? / Bruno, Matteo; Montani, Giovanni. - In: PHYSICAL REVIEW D. - ISSN 2470-0010. - 108:4(2023), pp. 1-6. [10.1103/PhysRevD.108.046003]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/1686089
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