Quantum spaces : Poincaré Seminar 2007

This book is the seventh in a series of lectures of the S eminaire Poincar e,which is directed towards a large audience of physicists and of mathematicians. The goal of this seminar is to provide up-to-date information about general topics of great interest in physics. Both the theoretical and exper...

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Detalhes bibliográficos
Autor Corporativo: Séminaire Poincaré :Paris
Outros Autores: Duplantier, Bertrand, 195.-...., physicien théoricien (Diretor de publicação), Rivasseau, Vincent, 1955-...., physicien (Diretor de publicação)
Formato: Livre numérique
Idioma:Anglais
Publicado em: Basel : Birkhäuser Basel [20..].
Cham : Springer Nature
Edição:1st ed. 2007.
coleção:Progress in Mathematical Physics 53
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Autres localisations: Voir dans le Sudoc
Edition sous un autre format:• Quantum spaces, Poincaré Seminar 2007, Bertrand Duplantier, Vincent Rivasseau editors, 2007, Basel, Birkhäuser, 1 vol. (IX-227 p.), Progress in mathematical physics, 978-3-7643-8521-7
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505 0 |a Quantum Hall Effect and Non-commutative Geometry -- Non-commutative Renormalization -- Non-commutative Fluids -- Heisenberg Spin Chains: From Quantum Groups to Neutron Scattering Experiments -- Non-commutative Geometry and the Spectral Model of Space-time 
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520 |a This book is the seventh in a series of lectures of the S eminaire Poincar e,which is directed towards a large audience of physicists and of mathematicians. The goal of this seminar is to provide up-to-date information about general topics of great interest in physics. Both the theoretical and experimental aspects are covered, with some historical background. Inspired by the Bourbaki seminar in mathematics in its organization, hence nicknamed Bourbaphi , the Poincar e Seminar is held twice a year at the Institut Henri Poincar e in Paris, with cont- butions prepared in advance. Particular care is devoted to the pedagogical nature of the presentations so as to ful?ll the goal of being readable by a large audience of scientists. This volume contains the tenth such seminar, held on April 30, 2007. It is devoted to the application of non-commutative geometry and quantum groups to physics. The book starts with a pedagogical introduction to Moyal geometry by V- cent Pasquier, with special emphasis on the quantum Hall e?ect. It is followed by a detailed review of Vincent Rivasseau on non-commutative ?eld theory and the recent advances which lead to its renormalizability and asymptotic safety. The description of the quantum Hall e?ect as a non-commutative ?uid is then treated in detail by Alexios Polychronakos. Integrable spin chains can be studied through quantum groups; their striking agreement with neutron scattering experiments is reviewed by Jean-MichelMaillet 
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