scholarly journals Feynman diagrams coupled to three-dimensional quantum gravity

2005 ◽  
Vol 23 (1) ◽  
pp. 137-141 ◽  
Author(s):  
John W Barrett
Keyword(s):  
Quantum Gravity ◽  
Three Dimensional ◽  
Feynman Diagrams

scholarly journals MEASUREMENTS AND INFORMATION IN SPIN FOAM MODELS

2012 ◽  
Vol 27 (28) ◽  
pp. 1250164
Author(s):  
J. MANUEL GARCÍA-ISLAS
Keyword(s):  
Information Theory ◽  
Quantum Gravity ◽  
Cosmological Constant ◽  
Shannon Entropy ◽  
Three Dimensional ◽  
Spin Network ◽  
Spin Foam Models ◽  
Foam Model ◽  
Spin Foam Model ◽  
Spin Foam

In the three-dimensional spin foam model of quantum gravity with a cosmological constant, there exists a set of observables associated with spin network graphs. A set of probabilities is calculated from these observables, and hence the associated Shannon entropy can be defined. We present the Shannon entropy associated with these observables and find some interesting bounded inequalities. The problem relates measurements, entropy and information theory in a simple way which we explain.

Three-dimensional simplicial quantum gravity coupled to Ising matter

1993 ◽  
Vol 30 ◽  
pp. 771-774 ◽  
Author(s):  
J. Ambjørn ◽  
Z. Burda ◽  
J. Jurkiewicz ◽  
C.F. Kristjansen
Keyword(s):  
Quantum Gravity ◽  
Three Dimensional

scholarly journals FEYNMAN DIAGRAMS VIA GRAPHICAL CALCULUS

2002 ◽  
Vol 11 (07) ◽  
pp. 1095-1131 ◽  
Author(s):  
DOMENICO FIORENZA ◽  
RICCARDO MURRI
Keyword(s):  
Quantum Gravity ◽  
Asymptotic Expansions ◽  
Feynman Diagrams ◽  
Ribbon Graphs ◽  
Graphical Calculus

We use Reshetikhin-Turaev graphical calculus to define Feynman diagrams and prove that asymptotic expansions of Gaussian integrals can be written as a sum over a suitable family of graphs. We discuss how different kinds of interactions give rise to different families of graphs. In particular, we show how symmetric and cyclic interactions lead to "ordinary" and "ribbon" graphs respectively. As an example, the 't Hooft-Kontsevich model for 2D quantum gravity is treated in some detail.

Three-dimensional simplicial quantum gravity

1992 ◽  
Vol 373 (2) ◽  
pp. 557-577 ◽  
Author(s):  
Jan Ambjørn ◽  
Steen Varsted
Keyword(s):  
Quantum Gravity ◽  
Three Dimensional

scholarly journals Shape dynamical loop gravity from a conformal Immirzi parameter

2017 ◽  
Vol 26 (11) ◽  
pp. 1750131 ◽  
Author(s):  
Patrick J. Wong
Keyword(s):  
Quantum Gravity ◽  
Loop Quantum Gravity ◽  
Three Dimensional ◽  
Classical Level ◽  
Spatial Geometry ◽  
Loop Quantization ◽  
Loop Gravity ◽  
Precise Interpretation ◽  
Gauge Connection ◽  
Area And Volume

The Immirzi parameter of loop quantum gravity is a one-parameter ambiguity of the theory whose precise interpretation is not universally agreed upon. It is an inherent characteristic of the quantum theory as it appears in the spectra of geometric operators, despite being irrelevant at the classical level. The parameter’s appearance in the area and volume spectra to the same power as the Planck area suggest that it plays a role in determining the fundamental length scale of space. In fact, a consistent interpretation is that it represents a constant rescaling of the kinematical spatial geometry. An interesting realization is that promoting the Immirzi parameter to be a general conformal transformation leads to a system which can be identified as analogous to the linking theory of shape dynamics. A three-dimensional gravitational gauge connection is then constructed within the linking theory in a manner analogous to loop quantum gravity, thereby facilitating the application of the established procedure of loop quantization.

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