Title Spectral Action in Noncommutative Geometry Author(s) Eckstein, Micha??;Iochum, Bruno Publication Cham, Springer International Publishing, 2018. Description XIV, 155 p. 3 illus : online resource Abstract Note What is spectral action, how to compute it and what are the known examples? This book offers a guided tour through the mathematical habitat of noncommutative geometry ?? la Connes, deliberately unveiling the answers to these questions. 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 serves both as a compendium for researchers in the domain of noncommutative geometry and an invitation to mathematical physicists looking for new concepts ISBN,Price 9783319947884 Keyword(s) 1. Abstract Harmonic Analysis 2. ALGEBRAIC GEOMETRY 3. Classical and Quantum Gravitation, Relativity Theory 4. EBOOK 5. EBOOK - SPRINGER 6. Elementary particles (Physics) 7. Elementary Particles, Quantum Field Theory 8. GRAVITATION 9. HARMONIC ANALYSIS 10. Mathematical Methods in Physics 11. MATHEMATICAL PHYSICS 12. PHYSICS 13. QUANTUM FIELD THEORY Item Type eBook Multi-Media Links Please Click here for eBook Circulation Data Accession#   Call# Status Issued To Return Due On Physical Location I09061     On Shelf