On the polymer quantization of connection theories: graph coherent states
arXiv:1805.05299 · doi:10.1103/PhysRevD.98.045016
Abstract
We present the construction of a new family of coherent states for quantum theories of connections obtained following the polymer quantization. The realization of these coherent states is based on the notion of graph change, in particular the one induced by the quantum dynamics in Yang-Mills and gravity quantum theories. Using a Fock-like canonical structure that we introduce, we derive the new coherent states that we call the graph coherent states. These states take the form of an infinite superposition of basis network states with different graphs. We further discuss the properties of such states and certain extensions of the proposed construction.
16 pages, revised version with typos in some equations corrected
References in corpus (12)
- A new spinfoam vertex for quantum gravity
- Cosmological Effective Hamiltonian from full Loop Quantum Gravity Dynamics
- Algebraic Quantum Gravity (AQG) II. Semiclassical Analysis
- New scalar constraint operator for loop quantum gravity
- Hamiltonian operator for loop quantum gravity coupled to a scalar field
- A symmetric scalar constraint for loop quantum gravity
- A quantum reduction to Bianchi I models in loop quantum gravity
- The Fock Space of Loopy Spin Networks for Quantum Gravity
- Time evolution in deparametrized models of loop quantum gravity
- A quantum reduction to spherical symmetry in loop quantum gravity
- Coherent 3j-symbol representation for the loop quantum gravity intertwiner space
- Coherent State Operators in Loop Quantum Gravity
Cited by in corpus (6)
- Perspectives on the dynamics in a loop quantum gravity effective description of black hole interiors
- New Loop Quantum Cosmology Modifications from Gauge-covariant Fluxes
- Graph coherent states for loop quantum gravity
- Dynamics in canonical models of loop quantum gravity
- A Fock space structure for the diffeomorphism invariant Hilbert space of loop quantum gravity and its applications
- Properties of the Rovelli-Smolin-DePietri volume operator in the spaces of monochromatic intertwiners