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Article Dans Une Revue Classical and Quantum Gravity Année : 2021

Twisted Geometries Coherent States for Loop Quantum Gravity

Résumé

We introduce a new family of coherent states for loop quantum gravity, inspired by the twisted geometry parametrization. We compute their peakedness properties and compare them with the heat-kernel coherent states. They show similar features for the area and the holonomy operators, but improved peakedness in the direction of the flux. At the gauge-invariant level, the new family is built from tensor products of coherent intertwiners. To study the peakedness of the holonomy operator, we introduce a new shift operator based on the harmonic oscillator representation associated with the twisted geometry parametrization. The new shift operator captures the components of the holonomy relevant to disentangle its action into a simple positive shift of the spins.

Dates et versions

hal-02992045 , version 1 (06-11-2020)

Identifiants

Citer

Andrea Calcinari, Laurent Freidel, Etera R. Livine, Simone Speziale. Twisted Geometries Coherent States for Loop Quantum Gravity. Classical and Quantum Gravity, 2021, 38 (2), pp.025004. ⟨10.1088/1361-6382/abc273⟩. ⟨hal-02992045⟩
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