[PDF] Physics In Non Commutative World

Physics in Non commutative World PDF
Author: Miao Li
Publisher: Rinton PressInc
ISBN: 9781589490215
Size: 32.47 MB
Format: PDF, ePub, Docs
Category : Science
Languages : en
Pages : 596
View: 2690

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Physics In Non Commutative World

by Miao Li, release date 2002, Physics In Non Commutative World Books available in PDF, EPUB, Mobi Format. Download Physics In Non Commutative World books, A study of field theories relating to physics in noncommutative worlds. This reprint is designed to serve young students and interested researchers with a source of original ideas and techniques. It includes eight chapters, each commencing with a brief introduction.




[PDF] An Invitation To Noncommutative Geometry

An Invitation to Noncommutative Geometry PDF
Author: Masoud Khalkhali
Publisher: World Scientific
ISBN: 9812814337
Size: 45.97 MB
Format: PDF, Kindle
Category : Mathematics
Languages : en
Pages : 515
View: 331

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An Invitation To Noncommutative Geometry

by Masoud Khalkhali, release date 2008, An Invitation To Noncommutative Geometry Books available in PDF, EPUB, Mobi Format. Download An Invitation To Noncommutative Geometry books, A walk in the noncommutative garden / A. Connes and M. Marcolli -- Renormalization of noncommutative quantum field theory / H. Grosse and R. Wulkenhaar -- Lectures on noncommutative geometry / M. Khalkhali -- Noncommutative bundles and instantons in Tehran / G. Landi and W. D. van Suijlekom -- Lecture notes on noncommutative algebraic geometry and noncommutative tori / S. Mahanta -- Lectures on derived and triangulated categories / B. Noohi -- Examples of noncommutative manifolds: complex tori and spherical manifolds / J. Plazas -- D-branes in noncommutative field theory / R. J. Szabo




[PDF] Noncommutative Geometry And Particle Physics

Noncommutative Geometry and Particle Physics PDF
Author: Walter D. van Suijlekom
Publisher: Springer
ISBN: 9401791627
Size: 46.77 MB
Format: PDF, ePub
Category : Science
Languages : en
Pages : 237
View: 7137

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Noncommutative Geometry And Particle Physics

by Walter D. van Suijlekom, release date 2014-07-21, Noncommutative Geometry And Particle Physics Books available in PDF, EPUB, Mobi Format. Download Noncommutative Geometry And Particle Physics books, This book provides an introduction to noncommutative geometry and presents a number of its recent applications to particle physics. It is intended for graduate students in mathematics/theoretical physics who are new to the field of noncommutative geometry, as well as for researchers in mathematics/theoretical physics with an interest in the physical applications of noncommutative geometry. In the first part, we introduce the main concepts and techniques by studying finite noncommutative spaces, providing a “light” approach to noncommutative geometry. We then proceed with the general framework by defining and analyzing noncommutative spin manifolds and deriving some main results on them, such as the local index formula. In the second part, we show how noncommutative spin manifolds naturally give rise to gauge theories, applying this principle to specific examples. We subsequently geometrically derive abelian and non-abelian Yang-Mills gauge theories, and eventually the full Standard Model of particle physics, and conclude by explaining how noncommutative geometry might indicate how to proceed beyond the Standard Model.




[PDF] Noncommutative Geometry And Physics 3

Noncommutative Geometry and Physics 3 PDF
Author: Giuseppe Dito
Publisher: World Scientific
ISBN: 981442501X
Size: 65.29 MB
Format: PDF, ePub, Mobi
Category : D-branes
Languages : en
Pages : 536
View: 3910

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Noncommutative Geometry And Physics 3

by Giuseppe Dito, release date 2013, Noncommutative Geometry And Physics 3 Books available in PDF, EPUB, Mobi Format. Download Noncommutative Geometry And Physics 3 books, Noncommutative differential geometry has many actual and potential applications to several domains in physics ranging from solid state to quantization of gravity. The strategy is to formulate usual differential geometry in a somewhat unusual manner, using in particular operator algebras and related concepts, so as to be able to plug in noncommutativity in a natural way. Algebraic tools such as K-theory and cyclic cohomology and homology play an important role in this field.




[PDF] Noncommutative Structures In Mathematics And Physics

Noncommutative Structures in Mathematics and Physics PDF
Author: Steven Duplij
Publisher: Springer Science & Business Media
ISBN: 9780792369998
Size: 37.58 MB
Format: PDF, Kindle
Category : Science
Languages : en
Pages : 484
View: 2221

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Noncommutative Structures In Mathematics And Physics

by Steven Duplij, release date 2001-05-31, Noncommutative Structures In Mathematics And Physics Books available in PDF, EPUB, Mobi Format. Download Noncommutative Structures In Mathematics And Physics books, A presentation of outstanding achievements and ideas, of both eastern and western scientists, both mathematicians and physicists. Their presentations of recent work on quantum field theory, supergravity, M-theory, black holes and quantum gravity, together with research into noncommutative geometry, Hopf algebras, representation theory, categories and quantum groups, take the reader to the forefront of the latest developments. Other topics covered include supergravity and branes, supersymmetric quantum mechanics and superparticles, (super) black holes, superalgebra representations, and SUSY GUT phenomenology. Essential reading for workers in the modern methods of theoretical and mathematical physics.




[PDF] Quantization Geometry And Noncommutative Structures In Mathematics And Physics

Quantization  Geometry and Noncommutative Structures in Mathematics and Physics PDF
Author: Alexander Cardona
Publisher: Springer
ISBN: 3319654276
Size: 63.75 MB
Format: PDF, ePub
Category : Science
Languages : en
Pages : 341
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Quantization Geometry And Noncommutative Structures In Mathematics And Physics

by Alexander Cardona, release date 2017-10-26, Quantization Geometry And Noncommutative Structures In Mathematics And Physics Books available in PDF, EPUB, Mobi Format. Download Quantization Geometry And Noncommutative Structures In Mathematics And Physics books, This monograph presents various ongoing approaches to the vast topic of quantization, which is the process of forming a quantum mechanical system starting from a classical one, and discusses their numerous fruitful interactions with mathematics.The opening chapter introduces the various forms of quantization and their interactions with each other and with mathematics.A first approach to quantization, called deformation quantization, consists of viewing the Planck constant as a small parameter. This approach provides a deformation of the structure of the algebra of classical observables rather than a radical change in the nature of the observables. When symmetries come into play, deformation quantization needs to be merged with group actions, which is presented in chapter 2, by Simone Gutt.The noncommutativity arising from quantization is the main concern of noncommutative geometry. Allowing for the presence of symmetries requires working with principal fiber bundles in a non-commutative setup, where Hopf algebras appear naturally. This is the topic of chapter 3, by Christian Kassel. Nichols algebras, a special type of Hopf algebras, are the subject of chapter 4, by Nicolás Andruskiewitsch. The purely algebraic approaches given in the previous chapters do not take the geometry of space-time into account. For this purpose a special treatment using a more geometric point of view is required. An approach to field quantization on curved space-time, with applications to cosmology, is presented in chapter 5 in an account of the lectures of Abhay Ashtekar that brings a complementary point of view to non-commutativity.An alternative quantization procedure is known under the name of string theory. In chapter 6 its supersymmetric version is presented. Superstrings have drawn the attention of many mathematicians, due to its various fruitful interactions with algebraic geometry, some of which are described here. The remaining chapters discuss further topics, as the Batalin-Vilkovisky formalism and direct products of spectral triples.This volume addresses both physicists and mathematicians and serves as an introduction to ongoing research in very active areas of mathematics and physics at the border line between geometry, topology, algebra and quantum field theory.




[PDF] Noncommutative Geometry And Physics 2005

Noncommutative Geometry and Physics 2005 PDF
Author:
Publisher: World Scientific
ISBN: 9812779647
Size: 51.95 MB
Format: PDF, Kindle
Category : Electronic books
Languages : en
Pages : 332
View: 2855

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Noncommutative Geometry And Physics 2005

by , release date 2007, Noncommutative Geometry And Physics 2005 Books available in PDF, EPUB, Mobi Format. Download Noncommutative Geometry And Physics 2005 books, This book provides a comprehensive overview of the authors' pioneering contributions to nonlinear set-valued analysis by topological methods. The coverage includes fixed point theory, degree theory, the KKM principle, variational inequality theory, the Nash equilibrium point in mathematical economics, the Pareto optimum in optimization, and applications to best approximation theory, partial equations and boundary value problems. Self-contained and unified in presentation, the book considers the existence of equilibrium points of abstract economics in topological vector spaces from the viewpoint of Ky Fan minimax inequalities. It also provides the latest developments in KKM theory and degree theory for nonlinear set-valued mappings.




[PDF] Non Commutative Geometry

Non commutative Geometry PDF
Author: Supriya Kar
Publisher: World Scientific Publishing Company Incorporated
ISBN: 9789812380524
Size: 50.75 MB
Format: PDF, ePub, Mobi
Category : Mathematics
Languages : en
Pages : 250
View: 3038

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Non Commutative Geometry

by Supriya Kar, release date 2018-01-31, Non Commutative Geometry Books available in PDF, EPUB, Mobi Format. Download Non Commutative Geometry books, This book provides a systematic, comprehensive and up-to-date account of the recent developments in non-commutative geometry, at a pedagogical level. It does not go into the details of rigorous (advanced level) mathematical formulation of non-commutative geometry; rather, it restricts itself to the domain of strings and quantum fields.Since non-commutative geometry has recently aroused renewed interest in open string theory, the author motivates the text from the viewpoint of a string theory. He begins with an introduction to the subject, explaining what one means by non-commutative geometry and why it is relevant to study such geometry, and discussing its possible origin in a string theory.The book comprises nine chapters. Chapter 1 gives a sound mathematical ntroduction to non-commutative spacetime coordinates in classical and quantum physics. In Chapter 2, non-commutativity in a string theory is discussed at a pedagogic level. Chapter 3 deals with an aribitrary D-brane dynamics and Chapter 4 describes the non-commutative gauge theories on a D-brane. In Chapters 5-9, non-commutative quantum field theory (NCQFT) is addressed. In particular, Chapter 5 deals with the real scalar NCQFT, Chapter 6 with that of complex scalar field, Chapter 7 describes spontaneous symmetry breaking in scalar NCQFT, Chapter 8 deals with the U(1) Gauge theory and Chapter 9 with SU(n) Gauge theories.Students will find this book useful as a bridge between string and field theories. In addition, it will prove invaluable for interdisciplinary areas of study.




[PDF] Hopf Algebras In Noncommutative Geometry And Physics

Hopf Algebras in Noncommutative Geometry and Physics PDF
Author: Stefaan Caenepeel
Publisher: CRC Press
ISBN: 0429530072
Size: 25.21 MB
Format: PDF, ePub, Docs
Category : Mathematics
Languages : en
Pages : 344
View: 2718

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Hopf Algebras In Noncommutative Geometry And Physics

by Stefaan Caenepeel, release date 2019-05-07, Hopf Algebras In Noncommutative Geometry And Physics Books available in PDF, EPUB, Mobi Format. Download Hopf Algebras In Noncommutative Geometry And Physics books, This comprehensive reference summarizes the proceedings and keynote presentations from a recent conference held in Brussels, Belgium. Offering 1155 display equations, this volume contains original research and survey papers as well as contributions from world-renowned algebraists. It focuses on new results in classical Hopf algebras as well as the




[PDF] Noncommutative Geometry And Physics 4 Workshop On Strings Membranes And Topological Field Theory

Noncommutative Geometry And Physics 4   Workshop On Strings  Membranes And Topological Field Theory PDF
Author: Kotani Motoko
Publisher: World Scientific
ISBN: 9813144629
Size: 18.91 MB
Format: PDF, Mobi
Category : Mathematics
Languages : en
Pages : 412
View: 4465

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Noncommutative Geometry And Physics 4 Workshop On Strings Membranes And Topological Field Theory

by Kotani Motoko, release date 2017-03-16, Noncommutative Geometry And Physics 4 Workshop On Strings Membranes And Topological Field Theory Books available in PDF, EPUB, Mobi Format. Download Noncommutative Geometry And Physics 4 Workshop On Strings Membranes And Topological Field Theory books, This book is a collection of the lectures and talks presented in the Tohoku Forum for Creativity in the thematic year 2015 "Fundamental Problems in Quantum Physics: Strings, Black Holes and Quantum Information", and related events in the period 2014–2016. This volume especially contains an overview of recent developments in the theory of strings and membranes, as well as topological field theory.