ENGLISH

Quantum spaces: Poincaré Seminar 2007

By Vincent Rivasseau

Book information

Publisher
Birkhäuser Basel
Year
2007
ISBN
9783764385217, 3764385219
LCC
QC20.7.D52 P65 2007
Open Library ID
OL16725067M
Language
english
Format
PDF
Filesize
2 MB (2515418 bytes)
Series
Progress in Mathematical Physics
Edition
1
Pages
237\237
Time added
2009-08-06 05:14:26

Description

This book starts with an introduction by V. Pasquier on the usefulness of non-commutative geometry, especially in the condensed matter context of the Hall effect. This theme is further developed by A. Polychronakos, who together with L. Susskind introduced the concept of non-commutative fluids. Jean-Michel Maillet compares the experimental results on one dimensional magnetic chains to the theoretical predictions based on the algebraic Bethe Ansatz and related to quantum group symmetries that he actively developed with many collaborators. On the high energy side of non-commutative geometry the book includes two complementary reviews. A. Connes describes the striking progress recently made in gathering all the interactions and fields of the standard model into a non-commutative geometry on a simple internal space, while V. Rivasseau describes in a large review the very recent technique of renormalization of quantum field theories on non-commutative space-time, which lead to the surprising discovery of their improved short-distance behavior.

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