Result: Bubble Divergences: Sorting out Topology from Cell Structure
Title:
Bubble Divergences: Sorting out Topology from Cell Structure
Authors:
Source:
Annales Henri Poincaré. 13(1):185-208
Publisher Information:
Heidelberg: Springer, 2012.
Publication Year:
2012
Physical Description:
print, 32 ref
Original Material:
INIST-CNRS
Subject Terms:
Mathematics, Mathématiques, Physics, Physique, Theoretical physics, Physique théorique, Sciences exactes et technologie, Exact sciences and technology, Physique, Physics, Generalites, General, Méthodes mathématiques en physique, Mathematical methods in physics, Divers, Other topics in mathematical methods in physics, Analyse, Analysis, Análisis, Bulle, Bubbles, Cellule, Cell, Célula, Cohomologie, Cohomology, Cohomología, Couleur, Color, Divergence, Divergences, Décomposition, Decomposition, Expansion, Méthode décomposition, Decomposition method, Método descomposición, Physique mathématique, Mathematical physics, Squelette, Skeleton, Structure cellulaire, Cellular structure, Structure topologique, Topological structure, Estructura topológica, Tenseur, Tensors, Topologie, Topology, Triage, Sorting, Développement mathématique, Mathematical expansion
Document Type:
Academic journal
Article
File Description:
text
Language:
English
Author Affiliations:
Perimeter Institute for Theoretical Physics 31 Caroline St. N, Waterloo, ON N2L 2Y5, Canada
Centre de Physique Théorique Campus de Luminy, Case 907, 13288 Marseille, France
Centre de Physique Théorique Campus de Luminy, Case 907, 13288 Marseille, France
ISSN:
1424-0637
Rights:
Copyright 2015 INIST-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
Notes:
Mathematics
Theoretical physics
Theoretical physics
Accession Number:
edscal.25568096
Database:
PASCAL Archive
Further Information
We conclude our analysis of bubble divergences in the flat spinfoam model. In Bonzom and Smerlak, Comm. Math. Phys., (submitted), we showed that the divergence degree of an arbitrary 2-complex Γ can be evaluated exactly by means of twisted cohomology. Here, we specialize this result to the case where Γ is the 2-skeleton of the cell decomposition of a pseudomanifold, and sharpen it with a careful analysis of the cellular and topological structures involved. Moreover, we explain in detail how this approach reproduces all the previous powercounting results for the Boulatov―Ooguri (colored) tensor models, and sheds light on algebraic-topological aspects of Gurau's 1/N expansion.