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Books > Science & Mathematics > Physics > Quantum physics (quantum mechanics)
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Spectral Action in Noncommutative Geometry (Paperback, 1st ed. 2018)
Loot Price: R1,521
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Spectral Action in Noncommutative Geometry (Paperback, 1st ed. 2018)
Series: SpringerBriefs in Mathematical Physics, 27
Expected to ship within 18 - 22 working days
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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.
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