Access this book
Tax calculation will be finalised at checkout
Other ways to access
Table of contents (5 chapters)
Keywords
About this book
After a brief preface flashing the panorama of the spectral approach, a concise primer on spectral triples is given. Chapter 2 is designed to serve as a toolkit for computations. The third chapter offers an in-depth view into the subtle links between the asymptotic expansions of traces of heat operators and meromorphic extensions of the associated spectral zeta functions. Chapter 4 studies the behaviour of the spectral action under fluctuations by gauge potentials. A subjective list of open problems in the field is spelled out in the fifth Chapter. The book concludes with an appendix including some auxiliary tools from geometry and analysis, along with examples of spectral geometries.
The book servesboth as a compendium for researchers in the domain of noncommutative geometry and an invitation to mathematical physicists looking for new concepts.
Reviews
Authors and Affiliations
About the authors
Bibliographic Information
Book Title: Spectral Action in Noncommutative Geometry
Authors: Michał Eckstein, Bruno Iochum
Series Title: SpringerBriefs in Mathematical Physics
DOI: https://doi.org/10.1007/978-3-319-94788-4
Publisher: Springer Cham
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: The Author(s) 2018
Softcover ISBN: 978-3-319-94787-7Published: 03 January 2019
eBook ISBN: 978-3-319-94788-4Published: 18 December 2018
Series ISSN: 2197-1757
Series E-ISSN: 2197-1765
Edition Number: 1
Number of Pages: XIV, 155
Number of Illustrations: 3 b/w illustrations
Topics: Mathematical Methods in Physics, Mathematical Physics, Elementary Particles, Quantum Field Theory, Classical and Quantum Gravitation, Relativity Theory, Algebraic Geometry, Abstract Harmonic Analysis