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Twisted Geometries Coherent States for Loop Quantum Gravity | Andrea Calcinari
; Laurent Freidel
; Etera Livine
; Simone Speziale
; | Date: |
2 Sep 2020 | Abstract: | 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. | Source: | arXiv, 2009.01125 | Services: | Forum | Review | PDF | Favorites |
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