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.File | Dimensione | Formato | |
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