Spectral Action in Noncommutative Geometry (Paperback, 1st ed. 2018)

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 a 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.

General

Imprint:	Springer International Publishing AG
Country of origin:	Switzerland
Series:	SpringerBriefs in Mathematical Physics, 27
Release date:	December 2018
First published:	2018
Authors:	Michal Eckstein • Bruno Iochum
Dimensions:	235 x 155mm (L x W)
Format:	Paperback
Pages:	155
Edition:	1st ed. 2018
ISBN-13:	978-3-319-94787-7
Categories:	Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Complex analysis Books > Science & Mathematics > Mathematics > Geometry > Algebraic geometry Books > Science & Mathematics > Mathematics > Applied mathematics > General Books > Science & Mathematics > Physics > Classical mechanics > General Books > Science & Mathematics > Physics > Relativity physics > General Books > Science & Mathematics > Physics > Quantum physics (quantum mechanics) > General
LSN:	3-319-94787-7
Barcode:	9783319947877

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