Anti-Differentiation and the Calculation of Feynman Amplitudes

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Release : 2021-11-26
Genre : Science
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Book Rating : 191/5 ( reviews)

Anti-Differentiation and the Calculation of Feynman Amplitudes - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Anti-Differentiation and the Calculation of Feynman Amplitudes write by Johannes Blümlein. This book was released on 2021-11-26. Anti-Differentiation and the Calculation of Feynman Amplitudes available in PDF, EPUB and Kindle. 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.

Feynman Integrals

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Release : 2022-06-11
Genre : Science
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Book Rating : 585/5 ( reviews)

Feynman Integrals - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Feynman Integrals write by Stefan Weinzierl. This book was released on 2022-06-11. Feynman Integrals available in PDF, EPUB and Kindle. This textbook on Feynman integrals starts from the basics, requiring only knowledge of special relativity and undergraduate mathematics. Feynman integrals are indispensable for precision calculations in quantum field theory. At the same time, they are also fascinating from a mathematical point of view. Topics from quantum field theory and advanced mathematics are introduced as needed. The book covers modern developments in the field of Feynman integrals. Topics included are: representations of Feynman integrals, integration-by-parts, differential equations, intersection theory, multiple polylogarithms, Gelfand-Kapranov-Zelevinsky systems, coactions and symbols, cluster algebras, elliptic Feynman integrals, and motives associated with Feynman integrals. This volume is aimed at a) students at the master's level in physics or mathematics, b) physicists who want to learn how to calculate Feynman integrals (for whom state-of-the-art techniques and computations are provided), and c) mathematicians who are interested in the mathematical aspects underlying Feynman integrals. It is, indeed, the interwoven nature of their physical and mathematical aspects that make Feynman integrals so enthralling.

An Introduction To Quantum Field Theory

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Release : 2018-05-04
Genre : Science
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Book Rating : 182/5 ( reviews)

An Introduction To Quantum Field Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook An Introduction To Quantum Field Theory write by Michael E. Peskin. This book was released on 2018-05-04. An Introduction To Quantum Field Theory available in PDF, EPUB and Kindle. 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.

Introduction to Effective Field Theory

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Release : 2020-12-10
Genre : Science
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Book Rating : 470/5 ( reviews)

Introduction to Effective Field Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Introduction to Effective Field Theory write by C. P. Burgess. This book was released on 2020-12-10. Introduction to Effective Field Theory available in PDF, EPUB and Kindle. This advanced, accessible textbook on effective field theories uses worked examples to bring this important topic to a wider audience.

The Anomalous Magnetic Moment of the Muon

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Release : 2008
Genre : Science
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Book Rating : 330/5 ( reviews)

The Anomalous Magnetic Moment of the Muon - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Anomalous Magnetic Moment of the Muon write by Fred Jegerlehner. This book was released on 2008. The Anomalous Magnetic Moment of the Muon available in PDF, EPUB and Kindle. 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.