Quantum triangulations. Moduli space, quantum computing, non-linear sigma models and Ricci flow.
Language: English
Published by Cham, Springer, 2017
- Softcover
- Used
Seller: Antiquariat Bookfarm, Löbnitz, GermanyAntiquariat Bookfarm
AbeBooks seller since October 28, 2009
Condition: Used - Very good
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XX, 392 p. Ex-library in GOOD condition with library-signature and stamp(s). Some traces of use. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. C-00186 9783319679365 Sprache: Englisch Gewicht in Gramm: 550.
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- Title
- Quantum triangulations. Moduli space, quantum computing, non-linear sigma models and Ricci flow.
- Author
- Carfora, Mauro:
- Publisher
- Cham, Springer
- Publication year
- 2017
- Condition
- Gut
- Binding
- Softcover
- Language
- English
- ISBN 10
- 3319679368
- ISBN 13
- 9783319679365
- Edition
- Second edition.
- Item weight
- 550 grams
- Series
- Book 169 of 241: Lecture Notes in Physics
- Seller catalogs
- U Physik
This book discusses key conceptual aspects and explores the connection between triangulated manifolds and quantum physics, using a set of case studies ranging from moduli space theory to quantum computing to provide an accessible introduction to this topic.
Research on polyhedral manifolds often reveals unexpected connections between very distinct aspects of mathematics and physics. In particular, triangulated manifolds play an important role in settings such as Riemann moduli space theory, strings and quantum gravity, topological quantum field theory, condensed matter physics, critical phenomena and complex systems. Not only do they provide a natural discrete analogue to the smooth manifolds on which physical theories are typically formulated, but their appearance is also often a consequence of an underlying structure that naturally calls into play non-trivial aspects of representation theory, complex analysis and topology in a way that makes the basic geometric structures of the physical interactions involved clear.
This second edition further emphasizes the essential role that triangulations play in modern mathematical physics, with a new and highly detailed chapter on the geometry of the dilatonic non-linear sigma model and its subtle and many-faceted connection with Ricci flow theory. This connection is treated in depth, pinpointing both the mathematical and physical aspects of the perturbative embedding of the Ricci flow in the renormalization group flow of non-linear sigma models. The geometry of the dilaton field is discussed from a novel standpoint by using polyhedral manifolds and Riemannian metric measure spaces, emphasizing their role in connecting non-linear sigma models’ effective action to Perelman’s energy-functional. No other published account of this matter is so detailed and informative.
This new edition also features an expanded appendix on Riemannian geometry, and a rich set of new illustrations to help the reader grasp the more difficult points of the theory. The book offers a valuable guide for all mathematicians and theoretical physicists working in the field of quantum geometry and its applications."Synopsis" may belong to another edition of this title.
About the Author
His research interests include Geometrical Analysis, and Combinatorial methods in theoretical and mathematical Physics. Applications in quantum gravity and moduli space theory. Ricci flow on Riemannian manifolds. Applications of geometric flows to theoretical and mathematical Phyics. Renormalization group flow and geometrical flows. Relativistic cosmology.
Annalisa Marzuoli received her Laurea in Physics in 1979. She held a research fellowship of the National Research Council in Mathematical Physics from 1979-1984. Then she was a researcher in Theoretical Physics, until she became an associate professor in 2000, all at the University of Pavia.
Her current fields of research include geometric and algebraic aspects of condensed matter systems (graphene and topological insulators) and of Topological Quantum Field Theories, with applications to quantum computing. Quantum integrable systems, their semiclassical analysis and relations with the Askey-Wilson scheme of hypergeometric orthogonal polynomials, with applications to atomic and molecular physics and to discretized gravity models. Improvement of interconnected algebraic, geometric and combinatorial methods to model many-body (quantum and lattice) systems.
"About the title" may belong to another edition of this title.
Antiquariat Bookfarm
Löbnitz, Germany
AbeBooks seller since October 28, 2009
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