Quantum Groups Noncommutative Geometry And Fundamental Physical Interactions
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Quantum Groups Noncommutative Geometry And Fundamental Physical Interactions
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Author : Daniel Kastler
language : en
Publisher:
Release Date : 1999
Quantum Groups Noncommutative Geometry And Fundamental Physical Interactions written by Daniel Kastler and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Mathematics categories.
Contents include: Hochschild Homology of Function Algebras Associated with Singularities; On the KK-Theory of Stable Projective Limits; Noncommutative Integrability; Gauge Invariance of the Chern-Simons Action in Noncommutative Geometry; The Analysis of the Hochshild Homology; Coproducts and Operations on Cyclic Cohomology; Powers of Quantum Matrices and Relations Between Them; Introductory Notes on Extensions of Hopf Algebras; Hopf Algebras from the Quantum Geometry Point of View; Equation Pentagonale, Bige bres et Espaces de Modules; Chiral Anomalies in the Spectral Action; Standard Model and Unimodularity Condition; On Feynman Graphs as Elements of a Hopf Algebra.
Noncommutative Geometry And Number Theory
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Author : Caterina Consani
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-12-18
Noncommutative Geometry And Number Theory written by Caterina Consani and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-12-18 with Mathematics categories.
In recent years, number theory and arithmetic geometry have been enriched by new techniques from noncommutative geometry, operator algebras, dynamical systems, and K-Theory. This volume collects and presents up-to-date research topics in arithmetic and noncommutative geometry and ideas from physics that point to possible new connections between the fields of number theory, algebraic geometry and noncommutative geometry. The articles collected in this volume present new noncommutative geometry perspectives on classical topics of number theory and arithmetic such as modular forms, class field theory, the theory of reductive p-adic groups, Shimura varieties, the local L-factors of arithmetic varieties. They also show how arithmetic appears naturally in noncommutative geometry and in physics, in the residues of Feynman graphs, in the properties of noncommutative tori, and in the quantum Hall effect.
Geometry And Quantum Physics
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Author : H. Gausterer
language : en
Publisher: Springer
Release Date : 2008-01-11
Geometry And Quantum Physics written by H. Gausterer and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-01-11 with Science categories.
In modern mathematical physics, classical together with quantum, geometrical and functional analytic methods are used simultaneously. Non-commutative geometry in particular is becoming a useful tool in quantum field theories. This book, aimed at advanced students and researchers, provides an introduction to these ideas. Researchers will benefit particularly from the extensive survey articles on models relating to quantum gravity, string theory, and non-commutative geometry, as well as Connes' approach to the standard model.
An Introduction To Noncommutative Differential Geometry And Its Physical Applications
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Author : J. Madore
language : en
Publisher: Cambridge University Press
Release Date : 1999-06-24
An Introduction To Noncommutative Differential Geometry And Its Physical Applications written by J. Madore and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-06-24 with Mathematics categories.
A thoroughly revised introduction to non-commutative geometry.
Infinite Dimensional Geometry Noncommutative Geometry Operator Algebras And Fundamental Interactions Proceedings Of The First Caribbean Spring School Of Mathematics And Theoretical Physics
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Author : Robert Coquereaux
language : en
Publisher: World Scientific
Release Date : 1995-06-28
Infinite Dimensional Geometry Noncommutative Geometry Operator Algebras And Fundamental Interactions Proceedings Of The First Caribbean Spring School Of Mathematics And Theoretical Physics written by Robert Coquereaux and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-06-28 with categories.
Structural Aspects Of Quantum Field Theory And Noncommutative Geometry Second Edition In 2 Volumes
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Author : Gerhard Grensing
language : en
Publisher: World Scientific
Release Date : 2021-07-15
Structural Aspects Of Quantum Field Theory And Noncommutative Geometry Second Edition In 2 Volumes written by Gerhard Grensing and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-07-15 with Science categories.
The book is devoted to the subject of quantum field theory. It is divided into two volumes. The first volume can serve as a textbook on main techniques and results of quantum field theory, while the second treats more recent developments, in particular the subject of quantum groups and noncommutative geometry, and their interrelation.The second edition is extended by additional material, mostly concerning the impact of noncommutative geometry on theories beyond the standard model of particle physics, especially the possible role of torsion in the context of the dark matter problem. Furthermore, the text includes a discussion of the Randall-Sundrum model and the Seiberg-Witten equations.
Particles And Fields Proceedings Of The X Jorge Andre Swieca Summer School
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Author : Joao Carlos Alves Barata
language : en
Publisher: World Scientific
Release Date : 2000-06-27
Particles And Fields Proceedings Of The X Jorge Andre Swieca Summer School written by Joao Carlos Alves Barata and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-06-27 with Science categories.
This book constitutes the proceedings of the X Jorge André Swieca Summer School — Particles and Fields. It includes topics on non-commutative geometry, constructive quantum field theory and duality in quantum field theory, as well as various subjects in high energy physics and phenomenology.
On The Structure Of Physical Vacuum And A New Interaction In Nature Theory Experiment Applications
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Author : I︠U︡. A. Baurov
language : en
Publisher: Nova Publishers
Release Date : 2000
On The Structure Of Physical Vacuum And A New Interaction In Nature Theory Experiment Applications written by I︠U︡. A. Baurov and has been published by Nova Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Science categories.
In the book, an unconventional physical model of creation of the observed physical space from a finite set of special discrete objects, byuons is presented. The global space anisotropy associated with a cosmological vectorial potential appearing in the definition of byuons, as well as a new interaction due to this anisotropy, are predicted. Results of an experimental investigation of the proposed new interaction are given. A new method of power production based on the new interaction, as well as a new principle of motion of objects in nature with the use of physical space as a support medium, are advanced. The book is intended for the general reading public, physicists (theorists and experimenters), astrophysicists, engineers (specialists in space technology and power engineering), and physical students.
Quantum Groups And Their Applications In Physics
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Author : Società italiana di fisica
language : en
Publisher: IOS Press
Release Date : 1996
Quantum Groups And Their Applications In Physics written by Società italiana di fisica and has been published by IOS Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Science categories.
This book focuses on quantum groups, i.e., continuous deformations of Lie groups, and their applications in physics. These algebraic structures have been studied in the last decade by a growing number of mathematicians and physicists, and are found to underlie many physical systems of interest. They do provide, in fact, a sort of common algebraic ground for seemingly very different physical problems. As it has happened for supersymmetry, the q-group symmetries are bound to play a vital role in physics, even in fundamental theories like gauge theory or gravity. In fact q-symmetry can be considered itself as a generalization of supersymmetry, evident in the q-commutator formulation. The hope that field theories on q-groups are naturally reguralized begins to appear founded, and opens new perspectives for quantum gravity. The topics covered in this book include: conformal field theories and quantum groups, gauge theories of quantum groups, anyons, differential calculus on quantum groups and non-commutative geometry, poisson algebras, 2-dimensional statistical models, (2+1) quantum gravity, quantum groups and lattice physics, inhomogeneous q-groups, q-Poincaregroup and deformed gravity and gauging of W-algebras.
Quantum Groups And Noncommutative Spaces
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Author : Matilde Marcolli
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-11-02
Quantum Groups And Noncommutative Spaces written by Matilde Marcolli and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-11-02 with Mathematics categories.
This book is aimed at presenting different methods and perspectives in the theory of Quantum Groups, bridging between the algebraic, representation theoretic, analytic, and differential-geometric approaches. It also covers recent developments in Noncommutative Geometry, which have close relations to quantization and quantum group symmetries. The volume collects surveys by experts which originate from an acitvity at the Max-Planck-Institute for Mathematics in Bonn.