The N Expansion in Colored Tensor Models

Description

The 1/N Expansion in Colored Tensor Models Ra˘zvan Gura˘u Laboratoire d'Informatique de Paris-Nord, 2011

• large surface


• introduction colored


• ribbon graphs


• continuum theory


• matrix models


• ra˘zvan gura˘u


• tensor models


• graphs jackets

Sujets

• Continuum (topology)
• Matrix model

Informations

• Publié par: profil-urra-2012
• Nombre de lectures: 35
• Langue: English
• Poids de l'ouvrage: 1 Mo

Extrait

The1/NExpansion in Colored Tensor Models

R˘azvanGura˘u

Laboratoire d’Informatique de ParisNord, 2011

The1/NExpansion in Colored Tensor Models, Laboratoire d’Informatique de ParisNord, 2011 Introduction Colored Tensor Models

Introduction

Colored Tensor Models Colored Graphs Jackets and the 1/Nexpansion Topology Leading order graphs are spheres

Conclusion

2

R˘azvanGura˘u, Conclusion

The1/NExpansion in Colored Tensor Models, Laboratoire d’Informatique de ParisNord, 2011 IntroductionColored Tensor Models

3

Matrix

Models

R˘azvanGur˘au, Conclusion

The1/NExpansion in Colored Tensor Models, Laboratoire d’Informatique de ParisNord, 2011 IntroductionColored Tensor Models

A success story:

3

Matrix

Models

Matrix Models intwodimensions

R˘azvanGur˘au, Conclusion

The1/NExpansion in Colored Tensor Models, Laboratoire d’Informatique de ParisNord, 2011 IntroductionColored Tensor Models

Matrix

Models

A success story: Matrix Models intwodimensions Anab initiocombinatorial statistical theory. ◮

3

Ra˘zvanGur˘au, Conclusion

The1/NExpansion in Colored Tensor Models, Laboratoire d’Informatique de ParisNord, 2011 IntroductionColored Tensor Models

Matrix

Models

A success story: Matrix Models intwodimensions Anab initiocombinatorial statistical theory. ◮ Havebuilt inscalesN. ◮

3

Ra˘zvanGura˘u, Conclusion

The1/NExpansion in Colored Tensor Models, Laboratoire d’Informatique de ParisNord, 2011 IntroductionColored Tensor Models

Matrix

Models

A success story: Matrix Models intwodimensions Anab initiocombinatorial statistical theory. ◮ Havebuilt inscalesN. ◮ Generateribbon graphs↔discretized surfaces. ◮

3

Ra˘zvanGur˘au, Conclusion

The1/NExpansion in Colored Tensor Models, Laboratoire d’Informatique de ParisNord, 2011 IntroductionColored Tensor Models

Matrix Models

R˘azvanGur˘au, Conclusion

A success story: Matrix Models intwodimensions ◮ Anab initiocombinatorial statistical theory. ◮ Havebuilt inscalesN. ◮ Generateribbon graphs↔discretized surfaces. ◮ They undergo aphase transition(“condensation”) to a continuum theory of largesurfaces.

3

The1/NExpansion in Colored Tensor Models, Laboratoire d’Informatique de ParisNord, 2011 IntroductionColored Tensor Models

Matrix Models

R˘azvanGura˘u, Conclusion

A success story: Matrix Models intwodimensions ◮ Anab initiocombinatorial statistical theory. Havebuilt inscalesN. ◮ Generateribbon graphs↔discretized surfaces. ◮ ◮ They undergo aphase transition(“condensation”) to a continuum theory of largesurfaces.

Physics:

3

The1/NExpansion in Colored Tensor Models, Laboratoire d’Informatique de ParisNord, 2011 IntroductionColored Tensor Models

Matrix Models

R˘azvanGur˘au, Conclusion

A success story: Matrix Models intwodimensions Anab initiocombinatorial statistical theory. ◮ Havebuilt inscalesN. ◮ Generateribbon graphs↔discretized surfaces. ◮ They undergo aphase transition(“condensation”) to a continuum theory of ◮ largesurfaces.

Physics:critical phenomena,

3