Noncommutative Geometry and the Standard Model of Elementary Particle Physics
Contributors: Florian Scheck (Editor); Wend Werner (Editor); Harald Upmeier (Editor)
Edition: 1 edition
Publisher: Springer
Published: January 17, 2003
Language: eng
Format: Hardcover
Number of pages: 346
ISBN-13: 9783540440710
Subjects: Algebraic geometry; Mathematics for scientists & engineers; Particle & high-energy physics; Science; Mathematics; Standard model (Nuclear physic; Physics; Science/Mathematics; Nuclear Physics; Noncommutative differential ge; Algebra - General; General; Mathematics-Algebra - General; Medical-General; Science / Mathematical Physics; Science / Nuclear Physics; Standard model (Nuclear physics); Congresses; Mathematical Physics; Noncommutative differential geometry
First sentence: The aim of the following note is to give a short introduction to the notions of curvature and Yang-Mills functional for vector potentials ( "case " ) and for connections on Hermitian finitely generated projective modules ("case ").
Description: The outcome of a close collaboration between mathematicians and mathematical physicists, these lecture notes present the foundations of A. Connes noncommutative geometry as well as its applications in particular to the field of theoretical particle physics. The coherent and systematic approach makes this book useful for experienced researchers and postgraduate students alike.