Anti-Differentiation and the Calculation of Feynman Amplitudes

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Author :
Publisher : Springer Nature
ISBN 13 : 3030802191
Total Pages : 551 pages
Book Rating : 4.0/5 (38 download)

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Book Synopsis Anti-Differentiation and the Calculation of Feynman Amplitudes by : Johannes Blümlein

Download or read book Anti-Differentiation and the Calculation of Feynman Amplitudes written by Johannes Blümlein and published by Springer Nature. This book was released on 2021-11-26 with total page 551 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume comprises review papers presented at the Conference on Antidifferentiation and the Calculation of Feynman Amplitudes, held in Zeuthen, Germany, in October 2020, and a few additional invited reviews. The book aims at comprehensive surveys and new innovative results of the analytic integration methods of Feynman integrals in quantum field theory. These methods are closely related to the field of special functions and their function spaces, the theory of differential equations and summation theory. Almost all of these algorithms have a strong basis in computer algebra. The solution of the corresponding problems are connected to the analytic management of large data in the range of Giga- to Terabytes. The methods are widely applicable to quite a series of other branches of mathematics and theoretical physics.

High Performance Computing in Science and Engineering '10

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Publisher : Springer Science & Business Media
ISBN 13 : 3642157483
Total Pages : 594 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis High Performance Computing in Science and Engineering '10 by : Wolfgang E. Nagel

Download or read book High Performance Computing in Science and Engineering '10 written by Wolfgang E. Nagel and published by Springer Science & Business Media. This book was released on 2010-12-14 with total page 594 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the state-of-the-art in simulation on supercomputers. Leading researchers present results achieved on systems of the High Performance Computing Center Stuttgart (HLRS) for the year 2010. The reports cover all fields of computational science and engineering, ranging from CFD to computational physics and chemistry to computer science, with a special emphasis on industrially relevant applications. Presenting results for both vector systems and microprocessor-based systems, the book makes it possible to compare the performance levels and usability of various architectures. As HLRS operates the largest NEC SX-8 vector system in the world, this book gives an excellent insight into the potential of vector systems, covering the main methods in high performance computing. Its outstanding results in achieving the highest performance for production codes are of particular interest for both scientists and engineers. The book includes a wealth of color illustrations and tables.

Introduction to High Energy Physics

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Author :
Publisher : Cambridge University Press
ISBN 13 : 1139643371
Total Pages : 454 pages
Book Rating : 4.1/5 (396 download)

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Book Synopsis Introduction to High Energy Physics by : Donald H. Perkins

Download or read book Introduction to High Energy Physics written by Donald H. Perkins and published by Cambridge University Press. This book was released on 2000-04-13 with total page 454 pages. Available in PDF, EPUB and Kindle. Book excerpt: This highly-regarded text provides a comprehensive introduction to modern particle physics. Extensively rewritten and updated, this 4th edition includes developments in elementary particle physics, as well as its connections with cosmology and astrophysics. As in previous editions, the balance between experiment and theory is continually emphasised. The stress is on the phenomenological approach and basic theoretical concepts rather than rigorous mathematical detail. Short descriptions are given of some of the key experiments in the field, and how they have influenced our thinking. Although most of the material is presented in the context of the Standard Model of quarks and leptons, the shortcomings of this model and new physics beyond its compass (such as supersymmetry, neutrino mass and oscillations, GUTs and superstrings) are also discussed. The text includes many problems and a detailed and annotated further reading list.

Computer Algebra in Quantum Field Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 3709116163
Total Pages : 422 pages
Book Rating : 4.7/5 (91 download)

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Book Synopsis Computer Algebra in Quantum Field Theory by : Carsten Schneider

Download or read book Computer Algebra in Quantum Field Theory written by Carsten Schneider and published by Springer Science & Business Media. This book was released on 2013-10-05 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

An Introduction To Quantum Field Theory

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Author :
Publisher : CRC Press
ISBN 13 : 0429972105
Total Pages : 865 pages
Book Rating : 4.4/5 (299 download)

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Book Synopsis An Introduction To Quantum Field Theory by : Michael E. Peskin

Download or read book An Introduction To Quantum Field Theory written by Michael E. Peskin and published by CRC Press. This book was released on 2018-05-04 with total page 865 pages. Available in PDF, EPUB and Kindle. Book excerpt: An Introduction to Quantum Field Theory is a textbook intended for the graduate physics course covering relativistic quantum mechanics, quantum electrodynamics, and Feynman diagrams. The authors make these subjects accessible through carefully worked examples illustrating the technical aspects of the subject, and intuitive explanations of what is going on behind the mathematics. After presenting the basics of quantum electrodynamics, the authors discuss the theory of renormalization and its relation to statistical mechanics, and introduce the renormalization group. This discussion sets the stage for a discussion of the physical principles that underlie the fundamental interactions of elementary particle physics and their description by gauge field theories.

Basics of Perturbative QCD

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Author :
Publisher : Atlantica Séguier Frontières
ISBN 13 : 9782863321010
Total Pages : 286 pages
Book Rating : 4.3/5 (21 download)

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Book Synopsis Basics of Perturbative QCD by : Yuri Dokshitzer

Download or read book Basics of Perturbative QCD written by Yuri Dokshitzer and published by Atlantica Séguier Frontières. This book was released on 1991 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Polylogarithms and Associated Functions

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Author :
Publisher : North-Holland
ISBN 13 :
Total Pages : 386 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Polylogarithms and Associated Functions by : Leonard Lewin

Download or read book Polylogarithms and Associated Functions written by Leonard Lewin and published by North-Holland. This book was released on 1981 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt:

High Energy Physics Index

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Publisher :
ISBN 13 :
Total Pages : 716 pages
Book Rating : 4.0/5 ( download)

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Book Synopsis High Energy Physics Index by :

Download or read book High Energy Physics Index written by and published by . This book was released on 1990 with total page 716 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Introduction to Soft-Collinear Effective Theory

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Author :
Publisher : Springer
ISBN 13 : 3319148486
Total Pages : 214 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Introduction to Soft-Collinear Effective Theory by : Thomas Becher

Download or read book Introduction to Soft-Collinear Effective Theory written by Thomas Becher and published by Springer. This book was released on 2015-03-04 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: Among resummation techniques for perturbative QCD in the context of collider and flavor physics, soft-collinear effective theory (SCET) has emerged as both a powerful and versatile tool, having been applied to a large variety of processes, from B-meson decays to jet production at the LHC. This book provides a concise, pedagogical introduction to this technique. It discusses the expansion of Feynman diagrams around the high-energy limit, followed by the explicit construction of the effective Lagrangian - first for a scalar theory, then for QCD. The underlying concepts are illustrated with the quark vector form factor at large momentum transfer, and the formalism is applied to compute soft-gluon resummation and to perform transverse-momentum resummation for the Drell-Yan process utilizing renormalization group evolution in SCET. Finally, the infrared structure of n-point gauge-theory amplitudes is analyzed by relating them to effective-theory operators. This text is suitable for graduate students and non-specialist researchers alike as it requires only basic knowledge of perturbative QCD.

Theory of the Muon Anomalous Magnetic Moment

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Publisher : Springer
ISBN 13 : 3540328076
Total Pages : 188 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Theory of the Muon Anomalous Magnetic Moment by : Kirill Melnikov

Download or read book Theory of the Muon Anomalous Magnetic Moment written by Kirill Melnikov and published by Springer. This book was released on 2007-01-09 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of the muon anomalous magnetic moment is particle physics in a nutshell. It is an interesting, exciting and difficult subject, and this book provides a comprehensive review of it. The theory of the muon anomalous magnetic moment is at the cutting edge of current research in particle physics, and any deviation between the theoretical prediction and the experimental value might be interpreted as a signal of an as-yet-unknown new physics.

Dilogarithms and Associated Functions

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Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (118 download)

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Book Synopsis Dilogarithms and Associated Functions by : Leonard Lewin

Download or read book Dilogarithms and Associated Functions written by Leonard Lewin and published by . This book was released on 1998 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

An Introductory Course of Particle Physics

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Author :
Publisher : Taylor & Francis
ISBN 13 : 1482216981
Total Pages : 818 pages
Book Rating : 4.4/5 (822 download)

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Book Synopsis An Introductory Course of Particle Physics by : Palash B. Pal

Download or read book An Introductory Course of Particle Physics written by Palash B. Pal and published by Taylor & Francis. This book was released on 2014-07-29 with total page 818 pages. Available in PDF, EPUB and Kindle. Book excerpt: For graduate students unfamiliar with particle physics, An Introductory Course of Particle Physics teaches the basic techniques and fundamental theories related to the subject. It gives students the competence to work out various properties of fundamental particles, such as scattering cross-section and lifetime. The book also gives a lucid summary of the main ideas involved. In giving students a taste of fundamental interactions among elementary particles, the author does not assume any prior knowledge of quantum field theory. He presents a brief introduction that supplies students with the necessary tools without seriously getting into the nitty-gritty of quantum field theory, and then explores advanced topics in detail. The book then discusses group theory, and in this case the author assumes that students are familiar with the basic definitions and properties of a group, and even SU(2) and its representations. With this foundation established, he goes on to discuss representations of continuous groups bigger than SU(2) in detail. The material is presented at a level that M.Sc. and Ph.D. students can understand, with exercises throughout the text at points at which performing the exercises would be most beneficial. Anyone teaching a one-semester course will probably have to choose from the topics covered, because this text also contains advanced material that might not be covered within a semester due to lack of time. Thus it provides the teaching tool with the flexibility to customize the course to suit your needs.

Lectures on QCD

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Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (6 download)

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Book Synopsis Lectures on QCD by :

Download or read book Lectures on QCD written by and published by . This book was released on 1997 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Supersymmetry and String Theory

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Publisher : Cambridge University Press
ISBN 13 : 113946244X
Total Pages : 481 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Supersymmetry and String Theory by : Michael Dine

Download or read book Supersymmetry and String Theory written by Michael Dine and published by Cambridge University Press. This book was released on 2007-01-04 with total page 481 pages. Available in PDF, EPUB and Kindle. Book excerpt: The past decade has witnessed dramatic developments in the field of theoretical physics. This book is a comprehensive introduction to these recent developments. It contains a review of the Standard Model, covering non-perturbative topics, and a discussion of grand unified theories and magnetic monopoles. It introduces the basics of supersymmetry and its phenomenology, and includes dynamics, dynamical supersymmetry breaking, and electric-magnetic duality. The book then covers general relativity and the big bang theory, and the basic issues in inflationary cosmologies before discussing the spectra of known string theories and the features of their interactions. The book also includes brief introductions to technicolor, large extra dimensions, and the Randall-Sundrum theory of warped spaces. This will be of great interest to graduates and researchers in the fields of particle theory, string theory, astrophysics and cosmology. The book contains several problems, and password protected solutions will be available to lecturers at www.cambridge.org/9780521858410.

The Anomalous Magnetic Moment of the Muon

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 3540726330
Total Pages : 433 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis The Anomalous Magnetic Moment of the Muon by : Fred Jegerlehner

Download or read book The Anomalous Magnetic Moment of the Muon written by Fred Jegerlehner and published by Springer Science & Business Media. This book was released on 2008 with total page 433 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book reviews the present state of knowledge of the anomalous magnetic moment a=(g-2)/2 of the muon. The muon anomalous magnetic moment is one of the most precisely measured quantities in elementary particle physics and provides one of the most stringent tests of relativistic quantum field theory as a fundamental theoretical framework. It allows for an extremely precise check of the standard model of elementary particles and of its limitations.

Computer Algebra and Polynomials

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Publisher : Springer
ISBN 13 : 3319150812
Total Pages : 222 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Computer Algebra and Polynomials by : Jaime Gutierrez

Download or read book Computer Algebra and Polynomials written by Jaime Gutierrez and published by Springer. This book was released on 2015-01-20 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algebra and number theory have always been counted among the most beautiful mathematical areas with deep proofs and elegant results. However, for a long time they were not considered that important in view of the lack of real-life applications. This has dramatically changed: nowadays we find applications of algebra and number theory frequently in our daily life. This book focuses on the theory and algorithms for polynomials over various coefficient domains such as a finite field or ring. The operations on polynomials in the focus are factorization, composition and decomposition, basis computation for modules, etc. Algorithms for such operations on polynomials have always been a central interest in computer algebra, as it combines formal (the variables) and algebraic or numeric (the coefficients) aspects. The papers presented were selected from the Workshop on Computer Algebra and Polynomials, which was held in Linz at the Johann Radon Institute for Computational and Applied Mathematics (RICAM) during November 25-29, 2013, at the occasion of the Special Semester on Applications of Algebra and Number Theory.

Foundations of Perturbative QCD

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Publisher : Cambridge University Press
ISBN 13 : 1139500627
Total Pages : 637 pages
Book Rating : 4.1/5 (395 download)

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Book Synopsis Foundations of Perturbative QCD by : John Collins

Download or read book Foundations of Perturbative QCD written by John Collins and published by Cambridge University Press. This book was released on 2011-04-28 with total page 637 pages. Available in PDF, EPUB and Kindle. Book excerpt: Giving an accurate account of the concepts, theorems and their justification, this book is a systematic treatment of perturbative QCD. It relates the concepts to experimental data, giving strong motivations for the methods. Ideal for graduate students starting their work in high-energy physics, it will also interest experienced researchers.