Topology and Geometry in Physics (Lecture Notes in Physics (659))

application Of The Concepts And Methods Of Topology And Geometry Have Led To A Deeper Understanding Of Many Crucial Aspects In Condensed Matter Physics, Cosmology, Gravity And Particle Physics. This Book Can Be Considered An Advanced Textbook On Modern Applications And Recent Developments In These Fields Of Physical Research. Written As A Set Of Largely Self-contained Extensive Lectures, The Book Gives An Introduction To Topological Concepts In Gauge Theories, Brst Quantization, Chiral Anomalies, Supersymmetric Solitons And Noncommutative Geometry. It Will Be Of Benefit To Postgraduate Students, Educating Newcomers To The Field And Lecturers Looking For Advanced Material. The concepts and methods of toplogy and geometry have led to a deeper understanding of many crucial aspects in condensed matter physics, cosmology, gravity and particle physics. This book can be considered an advanced textbook on modern applications and recent developments in this field of research. Written as a set of largely self-contained extensive lectures, the book gives an introduction to toplogical concepts in gauge theories, BRST quantization, chiral anomalies, sypersymmetric solitons and noncommutative geometry. It will be of benefit to postgraduate students, teaching newcomers to the field and lecturers looking for advanced material. TOC:Introduction and Overview (E. Bick, F.D. Steffen).- Topological Concepts in Gauge Theories (F. Lenz).- Aspects of BRST Quantization (J.W. van Holten).- Chiral Anomalies and Toplogy (J. Zinn-Justin).- Supersymmetric Solitons and Topology (M. Shifman).- Forces From Connes`Geometry (T. SChücker)

Application of the concepts and methods of topology and geometry have led to a deeper understanding of many crucial aspects in condensed matter physics, cosmology, gravity and particle physics. This book can be considered an advanced textbook on modern applications and recent developments in these fields of physical research. Written as a set of largely self-contained extensive lectures, the book gives an introduction to topological concepts in gauge theories, BRST quantization, chiral anomalies, sypersymmetric solitons and noncommutative geometry. It will be of benefit to postgraduate students, educating newcomers to the field and lecturers looking for advanced material.

"This book can be considered an advanced textbook on modern applications and recent developments in these fields of physical research. Written as a set of largely self-contained extensive lectures, the book gives an introduction to topological concepts in gauge theories, BRST quantization, chiral anomalies, supersymmetric solitons and noncommutative geometry. It will be of benefit to postgraduate students, educating newcomers to the field and lecturers looking for advanced material."--Résumé de l'éditeur "This book can be considered an advanced textbook on modern applications and recent developments in these fields of physical research. Written as a set of largely self-contained extensive lectures, the book gives an introduction to topological concepts in gauge theories, BRST quantization, chiral anomalies, supersymmetric solitons and noncommutative geometry. It will be of benefit to postgraduate students, educating newcomers to the field and lecturers looking for advanced material."--Jacket Introduction and Overview....Pages 1-5 Topological Concepts in Gauge Theories....Pages 7-98 Aspects of BRST Quantization....Pages 99-166 Chiral Anomalies and Topology....Pages 167-236 Supersymmetric Solitons and Topology....Pages 237-284 Forces from Connes’ Geometry....Pages 285-350 The first part of the 20th century saw the most revolutionary breakthroughs in the history of theoretical physics, the birth of general relativity and quantum field theory.