Computer Algebra In Quantum Field Theory PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Computer Algebra In Quantum Field Theory PDF full book. Access full book title Computer Algebra In Quantum Field Theory.
| Author | : Carsten Schneider |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 422 |
| Release | : 2013-10-05 |
| Genre | : Science |
| ISBN | : 3709116163 |
Download Computer Algebra in Quantum Field Theory Book in PDF, ePub and Kindle
The book focuses on advanced computer algebra methods and special functions that have striking applications in the context of quantum field theory. It presents the state of the art and new methods for (infinite) multiple sums, multiple integrals, in particular Feynman integrals, difference and differential equations in the format of survey articles. The presented techniques emerge from interdisciplinary fields: mathematics, computer science and theoretical physics; the articles are written by mathematicians and physicists with the goal that both groups can learn from the other field, including most recent developments. Besides that, the collection of articles also serves as an up-to-date handbook of available algorithms/software that are commonly used or might be useful in the fields of mathematics, physics or other sciences.
| Author | : W.-H. Steeb |
| Publisher | : World Scientific |
| Total Pages | : 245 |
| Release | : 2010 |
| Genre | : Mathematics |
| ISBN | : 9814307173 |
Download Quantum Mechanics Using Computer Algebra Book in PDF, ePub and Kindle
This book collects standard and advanced methods in quantum mechanics and implements them using SymbolicC++ and Maxima, two popular computer algebra packages. Throughout, the sample programs and their outputs are accompanied with explantory text of the underlying mathematics and physics explained in detail. Selected problems have also been implemented using two other popular packages --- Mathematica and Maple --- while some problems are implemented in C++. --
| Author | : Edson de Faria |
| Publisher | : Cambridge University Press |
| Total Pages | : |
| Release | : 2010-08-12 |
| Genre | : Science |
| ISBN | : 1139489801 |
Download Mathematical Aspects of Quantum Field Theory Book in PDF, ePub and Kindle
Over the last century quantum field theory has made a significant impact on the formulation and solution of mathematical problems and inspired powerful advances in pure mathematics. However, most accounts are written by physicists, and mathematicians struggle to find clear definitions and statements of the concepts involved. This graduate-level introduction presents the basic ideas and tools from quantum field theory to a mathematical audience. Topics include classical and quantum mechanics, classical field theory, quantization of classical fields, perturbative quantum field theory, renormalization, and the standard model. The material is also accessible to physicists seeking a better understanding of the mathematical background, providing the necessary tools from differential geometry on such topics as connections and gauge fields, vector and spinor bundles, symmetries and group representations.
| Author | : Michael Creutz |
| Publisher | : World Scientific |
| Total Pages | : 448 |
| Release | : 1992 |
| Genre | : Science |
| ISBN | : 9789810209407 |
Download Quantum Fields on the Computer Book in PDF, ePub and Kindle
This book provides an overview of recent progress in computer simulations of nonperturbative phenomena in quantum field theory, particularly in the context of the lattice approach. It is a collection of extensive self-contained reviews of various subtopics, including algorithms, spectroscopy, finite temperature physics, Yukawa and chiral theories, bounds on the Higgs meson mass, the renormalization group, and weak decays of hadrons.Physicists with some knowledge of lattice gauge ideas will find this book a useful and interesting source of information on the recent developments in the field.
| Author | : Damien Calaque |
| Publisher | : Springer |
| Total Pages | : 572 |
| Release | : 2015-01-06 |
| Genre | : Science |
| ISBN | : 3319099493 |
Download Mathematical Aspects of Quantum Field Theories Book in PDF, ePub and Kindle
Despite its long history and stunning experimental successes, the mathematical foundation of perturbative quantum field theory is still a subject of ongoing research. This book aims at presenting some of the most recent advances in the field, and at reflecting the diversity of approaches and tools invented and currently employed. Both leading experts and comparative newcomers to the field present their latest findings, helping readers to gain a better understanding of not only quantum but also classical field theories. Though the book offers a valuable resource for mathematicians and physicists alike, the focus is more on mathematical developments. This volume consists of four parts: The first Part covers local aspects of perturbative quantum field theory, with an emphasis on the axiomatization of the algebra behind the operator product expansion. The second Part highlights Chern-Simons gauge theories, while the third examines (semi-)classical field theories. In closing, Part 4 addresses factorization homology and factorization algebras.
| Author | : Karen Yeats |
| Publisher | : Springer |
| Total Pages | : 120 |
| Release | : 2016-11-23 |
| Genre | : Science |
| ISBN | : 3319475517 |
Download A Combinatorial Perspective on Quantum Field Theory Book in PDF, ePub and Kindle
This book explores combinatorial problems and insights in quantum field theory. It is not comprehensive, but rather takes a tour, shaped by the author’s biases, through some of the important ways that a combinatorial perspective can be brought to bear on quantum field theory. Among the outcomes are both physical insights and interesting mathematics. The book begins by thinking of perturbative expansions as kinds of generating functions and then introduces renormalization Hopf algebras. The remainder is broken into two parts. The first part looks at Dyson-Schwinger equations, stepping gradually from the purely combinatorial to the more physical. The second part looks at Feynman graphs and their periods. The flavour of the book will appeal to mathematicians with a combinatorics background as well as mathematical physicists and other mathematicians.
| Author | : Kasia Rejzner |
| Publisher | : Springer |
| Total Pages | : 186 |
| Release | : 2016-03-16 |
| Genre | : Science |
| ISBN | : 3319259016 |
Download Perturbative Algebraic Quantum Field Theory Book in PDF, ePub and Kindle
Perturbative Algebraic Quantum Field Theory (pAQFT), the subject of this book, is a complete and mathematically rigorous treatment of perturbative quantum field theory (pQFT) that doesn’t require the use of divergent quantities and works on a large class of Lorenzian manifolds. We discuss in detail the examples of scalar fields, gauge theories and the effective quantum gravity. pQFT models describe a wide range of physical phenomena and have remarkable agreement with experimental results. Despite this success, the theory suffers from many conceptual problems. pAQFT is a good candidate to solve many, if not all, of these conceptual problems. Chapters 1-3 provide some background in mathematics and physics. Chapter 4 concerns classical theory of the scalar field, which is subsequently quantized in chapters 5 and 6. Chapter 7 covers gauge theory and chapter 8 discusses effective quantum gravity. The book aims to be accessible to researchers and graduate students, who are interested in the mathematical foundations of pQFT.
| Author | : Jürg Fröhlich |
| Publisher | : Springer |
| Total Pages | : 438 |
| Release | : 2006-11-15 |
| Genre | : Mathematics |
| ISBN | : 3540476113 |
Download Quantum Groups, Quantum Categories and Quantum Field Theory Book in PDF, ePub and Kindle
This book reviews recent results on low-dimensional quantum field theories and their connection with quantum group theory and the theory of braided, balanced tensor categories. It presents detailed, mathematically precise introductions to these subjects and then continues with new results. Among the main results are a detailed analysis of the representation theory of U (sl ), for q a primitive root of unity, and a semi-simple quotient thereof, a classfication of braided tensor categories generated by an object of q-dimension less than two, and an application of these results to the theory of sectors in algebraic quantum field theory. This clarifies the notion of "quantized symmetries" in quantum fieldtheory. The reader is expected to be familiar with basic notions and resultsin algebra. The book is intended for research mathematicians, mathematical physicists and graduate students.
| Author | : Romeo Brunetti |
| Publisher | : Springer |
| Total Pages | : 460 |
| Release | : 2015-09-04 |
| Genre | : Science |
| ISBN | : 3319213539 |
Download Advances in Algebraic Quantum Field Theory Book in PDF, ePub and Kindle
This text focuses on the algebraic formulation of quantum field theory, from the introductory aspects to the applications to concrete problems of physical interest. The book is divided in thematic chapters covering both introductory and more advanced topics. These include the algebraic, perturbative approach to interacting quantum field theories, algebraic quantum field theory on curved spacetimes (from its structural aspects to the applications in cosmology and to the role of quantum spacetimes), algebraic conformal field theory, the Kitaev's quantum double model from the point of view of local quantum physics and constructive aspects in relation to integrable models and deformation techniques. The book is addressed to master and graduate students both in mathematics and in physics, who are interested in learning the structural aspects and the applications of algebraic quantum field theory.
| Author | : Willi-Hans Steeb |
| Publisher | : World Scientific Publishing Company |
| Total Pages | : 244 |
| Release | : 2010-03-24 |
| Genre | : Mathematics |
| ISBN | : 9813107898 |
Download Quantum Mechanics Using Computer Algebra Book in PDF, ePub and Kindle
Solving problems in quantum mechanics is an essential skill and research activity for physicists, mathematicians, engineers and others. Nowadays, the labor of scientific computation has been greatly eased by the advent of computer algebra packages, which do not merely perform number crunching, but also enable users to manipulate algebraic expressions and equations symbolically. For example, the manipulations of noncommutative operators, differentiation and integration can now be carried out algebraically by the computer algebra package. This book collects standard and advanced methods in quantum mechanics and implements them using SymbolicC++ and Maxima, two popular computer algebra packages. Throughout, the sample programs and their outputs are accompanied with explanatory text of the underlying mathematics and physics explained in detail. Selected problems have also been implemented using two other popular packages — Mathematica and Maple — while some problems are implemented in C++. Modern developments in quantum theory are covered extensively, beyond the standard quantum mechanical techniques. The new research topics added to this second edition are: entanglement, teleportation, Berry phase, Morse oscillator, Magnus expansion, wavelets, Pauli and Clifford groups, coupled Bose–Fermi systems, super-Lie algebras, etc.
