scholarly journals Coherent states, quantum gravity, and the Born-Oppenheimer approximation. I. General considerations

2016 ◽  
Vol 57 (6) ◽  
pp. 063509 ◽  
Author(s):  
Alexander Stottmeister ◽  
Thomas Thiemann
Keyword(s):  
Quantum Gravity ◽  
Coherent States ◽  
Oppenheimer Approximation

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

scholarly journals COHERENT STATES IN GRAVITATIONAL QUANTUM MECHANICS

2013 ◽  
Vol 22 (02) ◽  
pp. 1350004 ◽  
Author(s):  
POURIA PEDRAM
Keyword(s):  
Quantum Gravity ◽  
Coherent States ◽  
Scale Effects ◽  
Black Hole Physics ◽  
Probability Distributions ◽  
Planck Scale ◽  
Experimental Tests ◽  
Heisenberg Algebra ◽  
Adjoint Representation ◽  
Weight Functions

We present the coherent states of the harmonic oscillator in the framework of the generalized (gravitational) uncertainty principle (GUP). This form of GUP is consistent with various theories of quantum gravity such as string theory, loop quantum gravity and black-hole physics and implies a minimal measurable length. Using a recently proposed formally self-adjoint representation, we find the GUP-corrected Hamiltonian as a generator of the generalized Heisenberg algebra. Then following Klauder's approach, we construct exact coherent states and obtain the corresponding normalization coefficients, weight functions and probability distributions. We find the entropy of the system and show that it decreases in the presence of the minimal length. These results could shed light on possible detectable Planck-scale effects within recent experimental tests.

scholarly journals Large Quantum Gravity Effects: Backreaction on Matter

1997 ◽  
Vol 12 (32) ◽  
pp. 2407-2413 ◽  
Author(s):  
Rodolfo Gambini ◽  
Jorge Pullin
Keyword(s):  
Quantum Gravity ◽  
Coherent States ◽  
Rapid Loss ◽  
Gravity Effects ◽  
Dimensional Gravity ◽  
The One ◽  
Loss Of Coherence ◽  
Matter Sector ◽  
Matter Fields ◽  
Large Quantum

We re-examine the large quantum gravity effects discovered by Ashtekar in the context of (2+1)-dimensional gravity coupled to matter. We study an alternative one-parameter family of coherent states of the theory in which the large quantum gravity effects on the metric can be diminished, at the expense of losing coherence in the matter sector. Which set of states is the one that occurs in nature will determine if the large quantum gravity effects are actually observable as wild fluctuations of the metric or rapid loss of coherence of matter fields.

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

scholarly journals QUANTUM GRAVITY ASYMPTOTICS FROM THE SU(2) 15j-SYMBOL

2010 ◽  
Vol 25 (14) ◽  
pp. 2897-2916 ◽  
Author(s):  
JOHN W. BARRETT ◽  
WINSTON J. FAIRBAIRN ◽  
FRANK HELLMANN
Keyword(s):  
Euclidean Space ◽  
Quantum Gravity ◽  
Asymptotic Formula ◽  
Coherent States ◽  
Boundary Data ◽  
Gravity Models ◽  
Dimensional Euclidean Space ◽  
Spin Foam

The asymptotics of the SU(2) 15j-symbol are obtained using coherent states for the boundary data. The geometry of all nonsuppressed boundary data is given. For some boundary data, the resulting formula is interpreted in terms of the Regge action of the geometry of a 4-simplex in four-dimensional Euclidean space. This asymptotic formula can be used to derive and extend the asymptotics of the spin foam amplitudes for quantum gravity models. The relation of the SU(2) Ooguri model to these quantum gravity models and their continuum Lagrangians is discussed.

scholarly journals Coherent states for quantum gravity: toward collective variables

2012 ◽  
Vol 29 (13) ◽  
pp. 135002 ◽  
Author(s):  
Daniele Oriti ◽  
Roberto Pereira ◽  
Lorenzo Sindoni
Keyword(s):  
Quantum Gravity ◽  
Coherent States ◽  
Collective Variables
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