scholarly journals Gauge-invariant coherent states for loop quantum gravity: I. Abelian gauge groups

2009 ◽  
Vol 26 (4) ◽  
pp. 045011 ◽  
Author(s):  
Benjamin Bahr ◽  
Thomas Thiemann
Keyword(s):  
Quantum Gravity ◽  
Coherent States ◽  
Loop Quantum Gravity ◽  
Abelian Gauge ◽  
Gauge Invariant ◽  
Gauge Groups

scholarly journals U(N) coherent states for loop quantum gravity

2011 ◽  
Vol 52 (5) ◽  
pp. 052502 ◽  
Author(s):  
Laurent Freidel ◽  
Etera R. Livine
Keyword(s):  
Quantum Gravity ◽  
Coherent States ◽  
Loop Quantum Gravity

Polymer quantization effects on gauge-flation

2018 ◽  
Vol 15 (10) ◽  
pp. 1850169
Author(s):  
M. Mardaani ◽  
K. Nozari
Keyword(s):  
Hilbert Space ◽  
Quantum Mechanics ◽  
Quantum Gravity ◽  
Gauge Field ◽  
Quantum Cosmology ◽  
Loop Quantum Gravity ◽  
Loop Quantum Cosmology ◽  
Abelian Gauge ◽  
Friedmann Equations ◽  
Cosmological Inflation

Polymer quantum mechanics, as a non-standard representation of quantum mechanics, is based on a symmetric sector of loop quantum gravity known as loop quantum cosmology. In this work, by analyzing the Hamiltonian and Friedmann equations in the standard Hilbert space and polymer Hilbert space, we show that polymer quantization is a successful formalism for a non-Abelian gauge field driving the cosmological inflation, the so-called gauge-flation, in order to remove initial singularity and also keeping the inflationary trajectories in this model as attractors of dynamics after the bounce.

scholarly journals Gauge invariant cosmological perturbation equations with corrections from loop quantum gravity

2009 ◽  
Vol 79 (4) ◽  
Author(s):  
Martin Bojowald ◽  
Golam Mortuza Hossain ◽  
Mikhail Kagan ◽  
S. Shankaranarayanan
Keyword(s):  
Quantum Gravity ◽  
Loop Quantum Gravity ◽  
Cosmological Perturbation ◽  
Gauge Invariant ◽  
Perturbation Equations

scholarly journals SO*(2N) coherent states for loop quantum gravity

2017 ◽  
Vol 58 (7) ◽  
pp. 071708 ◽  
Author(s):  
Florian Girelli ◽  
Giuseppe Sellaroli
Keyword(s):  
Quantum Gravity ◽  
Coherent States ◽  
Loop Quantum Gravity

scholarly journals Twisted geometries coherent states for loop quantum gravity

2020 ◽  
Vol 38 (2) ◽  
pp. 025004
Author(s):  
Andrea Calcinari ◽  
Laurent Freidel ◽  
Etera Livine ◽  
Simone Speziale
Keyword(s):  
Quantum Gravity ◽  
Coherent States ◽  
Loop Quantum Gravity
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