scholarly journals Coarse graining in spin foam models

2003 ◽  
Vol 20 (5) ◽  
pp. 777-799 ◽  
Author(s):  
Fotini Markopoulou
2012 ◽  
Vol 14 (3) ◽  
pp. 035008 ◽  
Author(s):  
Bianca Dittrich ◽  
Frank C Eckert ◽  
Mercedes Martin-Benito

2013 ◽  
Vol 87 (4) ◽  
Author(s):  
Benjamin Bahr ◽  
Bianca Dittrich ◽  
Frank Hellmann ◽  
Wojciech Kaminski

2012 ◽  
Vol 27 (28) ◽  
pp. 1250164
Author(s):  
J. MANUEL GARCÍA-ISLAS

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.


2018 ◽  
Vol 98 (10) ◽  
Author(s):  
Benjamin Bahr ◽  
Giovanni Rabuffo ◽  
Sebastian Steinhaus

2019 ◽  
Vol 37 (1) ◽  
pp. 015010 ◽  
Author(s):  
Marco Finocchiaro ◽  
Daniele Oriti
Keyword(s):  

2019 ◽  
Vol 20 (12) ◽  
pp. 3927-3953
Author(s):  
Wojciech Kamiński ◽  
Hanno Sahlmann

Abstract We fill one of the remaining gaps in the asymptotic analysis of the vertex amplitudes of the Engle–Pereira–Rovelli–Livine (EPRL) spin foam models: We show that the Hessian is nondegenerate for the stationary points that corresponds to geometric nondegenerate 4 simplices. Our analysis covers the case when all faces are spacelike.


2005 ◽  
Vol 22 (17) ◽  
pp. 3491-3509 ◽  
Author(s):  
Sergei Alexandrov ◽  
Zoltán Kádár

2003 ◽  
Vol 18 (supp02) ◽  
pp. 83-96 ◽  
Author(s):  
A. Miković

We describe how a spin-foam state sum model can be reformulated as a quantum field theory of spin networks, such that the Feynman diagrams of that field theory are the spin-foam amplitudes. In the case of open spin networks, we obtain a new type of state-sum models, which we call the matter spin foam models. In this type of state-sum models, one labels both the faces and the edges of the dual two-complex for a manifold triangulation with the simple objects from a tensor category. In the case of Lie groups, such a model corresponds to a quantization of a theory whose fields are the principal bundle connection and the sections of the associated vector bundles. We briefly discuss the relevance of the matter spin foam models for quantum gravity and for topological quantum field theories.


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