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Author: A. P. Balachandran Publisher: World Scientific ISBN: 9812707468 Category : Science Languages : en Pages : 196
Book Description
Noncommutative geometry provides a powerful tool for regularizing quantum field theories in the form of fuzzy physics. Fuzzy physics maintains symmetries, has no fermion-doubling problem and represents topological features efficiently. These lecture notes provide a comprehensive introduction to the field. Starting with the construction of fuzzy spaces, using the concrete examples of the fuzzy sphere and fuzzy complex projective spaces, the book moves on to discuss the technology of star products on noncommutative R2d and on the fuzzy sphere. Scalar, spinor and gauge field theories as well as extended objects such as monopoles and nonlinear sigma modes are treated in considerable detail. A detailed treatment of the regularization of supersymmetry is given using the techniques of fuzzy physics.
Author: A. P. Balachandran Publisher: World Scientific ISBN: 9812707468 Category : Science Languages : en Pages : 196
Book Description
Noncommutative geometry provides a powerful tool for regularizing quantum field theories in the form of fuzzy physics. Fuzzy physics maintains symmetries, has no fermion-doubling problem and represents topological features efficiently. These lecture notes provide a comprehensive introduction to the field. Starting with the construction of fuzzy spaces, using the concrete examples of the fuzzy sphere and fuzzy complex projective spaces, the book moves on to discuss the technology of star products on noncommutative R2d and on the fuzzy sphere. Scalar, spinor and gauge field theories as well as extended objects such as monopoles and nonlinear sigma modes are treated in considerable detail. A detailed treatment of the regularization of supersymmetry is given using the techniques of fuzzy physics.
Author: A. P. Balachandran Publisher: World Scientific ISBN: 9812704663 Category : Science Languages : en Pages : 196
Book Description
Noncommutative geometry provides a powerful tool for regularizing quantum field theories in the form of fuzzy physics. Fuzzy physics maintains symmetries, has no fermion-doubling problem and represents topological features efficiently. These lecture notes provide a comprehensive introduction to the field. Starting with the construction of fuzzy spaces, using the concrete examples of the fuzzy sphere and fuzzy complex projective spaces, the book moves on to discuss the technology of star products on noncommutative R2d and on the fuzzy sphere. Scalar, spinor and gauge field theories as well as extended objects such as monopoles and nonlinear sigma modes are treated in considerable detail. A detailed treatment of the regularization of supersymmetry is given using the techniques of fuzzy physics.
Author: Badis Ydri Publisher: Springer ISBN: 331946003X Category : Science Languages : en Pages : 352
Book Description
These lecture notes provide a systematic introduction to matrix models of quantum field theories with non-commutative and fuzzy geometries. The book initially focuses on the matrix formulation of non-commutative and fuzzy spaces, followed by a description of the non-perturbative treatment of the corresponding field theories. As an example, the phase structure of non-commutative phi-four theory is treated in great detail, with a separate chapter on the multitrace approach. The last chapter offers a general introduction to non-commutative gauge theories, while two appendices round out the text. Primarily written as a self-study guide for postgraduate students – with the aim of pedagogically introducing them to key analytical and numerical tools, as well as useful physical models in applications – these lecture notes will also benefit experienced researchers by providing a reference guide to the fundamentals of non-commutative field theory with an emphasis on matrix models and fuzzy geometries.
Author: Merola Leonardo Publisher: World Scientific ISBN: 9814759724 Category : Computers Languages : en Pages : 528
Book Description
This book aims to provide a deep look into Italian actions taken in some fields of science and high performance computing (HPC), and the Italian effort to bridge the HPC gap with respect to Europe. The Italian PON ReCaS Project is written for graduate readers and professionals in the field of high performance computing. It presents and discusses innovative and important technological solutions, and describes interesting results in various fields of application. ReCaS stands for "Rete di Calcolo per SuperB e altre applicazioni" and is a computing network infrastructure in Southern Italy devoted to scientific and non-scientific applications within the vision of a common European infrastructure for computing, storage and network. The ReCaS project is part of the 2007–2013 European Union strategy, and was funded by the Italian Ministry of Research and Education (MIUR) for the development and enhancement of a distributed computing infrastructure of the Grid/Cloud type over the four EU 'Convergence' regions in Southern Italy: Campania, Puglia and Sicily and Calabria. The network will be open and accessible to all researchers, public and private, and will be characterized by unprecedented computing power and storage capacity. Posted in the European Grid Infrastructure EGI, ReCaS is also an opportunity to the countries of the Mediterranean area and extends the potential of the current network.
Author: Apostolos Syropoulos Publisher: John Wiley & Sons ISBN: 1119445280 Category : Technology & Engineering Languages : en Pages : 382
Book Description
Provides readers with the foundations of fuzzy mathematics as well as more advanced topics A Modern Introduction to Fuzzy Mathematics provides a concise presentation of fuzzy mathematics., moving from proofs of important results to more advanced topics, like fuzzy algebras, fuzzy graph theory, and fuzzy topologies. The authors take the reader through the development of the field of fuzzy mathematics, starting with the publication in 1965 of Lotfi Asker Zadeh's seminal paper, Fuzzy Sets. The book begins with the basics of fuzzy mathematics before moving on to more complex topics, including: Fuzzy sets Fuzzy numbers Fuzzy relations Possibility theory Fuzzy abstract algebra And more Perfect for advanced undergraduate students, graduate students, and researchers with an interest in the field of fuzzy mathematics, A Modern Introduction to Fuzzy Mathematics walks through both foundational concepts and cutting-edge, new mathematics in the field.
Author: M. Jamil Aslam Publisher: World Scientific ISBN: 9812705910 Category : Science Languages : en Pages : 467
Book Description
These proceedings survey the latest developments in a wide area of mathematical physics as presented by internationally renowned experts. The fields surveyed are High Energy Physics, String Theory, Relativity, Astrophysics, Cosmology, Plasma Physics and Formal Aspects of Mathematical Physics. Some of the exciting topics discussed in this volume are fundamental questions about black holes and string theory, supermassive black holes, string theory and the quantum structure of space-time, AdS space-time and holography, the cosmological constant, non-commutative geometry, quantum gravity, symmetries in general relativity, recent developments in neutrino physics and astrophysical plasmas.
Author: Muhammad Jamil Aslam Publisher: World Scientific ISBN: 9814475742 Category : Science Languages : en Pages : 467
Book Description
These proceedings survey the latest developments in a wide area of mathematical physics as presented by internationally renowned experts. The fields surveyed are High Energy Physics, String Theory, Relativity, Astrophysics, Cosmology, Plasma Physics and Formal Aspects of Mathematical Physics. Some of the exciting topics discussed in this volume are fundamental questions about black holes and string theory, supermassive black holes, string theory and the quantum structure of space-time, AdS space-time and holography, the cosmological constant, non-commutative geometry, quantum gravity, symmetries in general relativity, recent developments in neutrino physics and astrophysical plasmas.
Author: T R Govindarajan Publisher: World Scientific ISBN: 9811270449 Category : Science Languages : en Pages : 340
Book Description
A P Balachandran has a long and impressive record of research in particle physics and quantum field theory, bringing concepts of geometry, topology and operator algebras to the analysis of physical problems, particularly in particle physics and condensed matter physics. He has also had an influential role within the physics community, not only in terms of a large number of students, research associates and collaborators, but also serving on the editorial boards of important publications, including the International Journal of Modern Physics A.This book consists of articles by students and associates of Balachandran. Most of the articles are scientific in nature, with topics ranging from noncommutative geometry, particle physics phenomenology, to condensed matter physics. Various chapters focus on new perspectives and directions resulting from Balachandran's contributions to physics, as well as some reminiscences of collaborating and working with Balachandran.
Author: A. P. Balachandran
Author: A. P. Balachandran
Author: A. P. Balachandran
Author: Badis Ydri
Author: Merola Leonardo
Author: Apostolos Syropoulos
Author: M. Jamil Aslam
Author: Muhammad Jamil Aslam
Author: T R Govindarajan
Author: 
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