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Anti-Differentiation and the Calculation of Feynman Amplitudes

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

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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. This book was released on 2021-11-26. 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.

Feynman Integrals

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

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Book Synopsis Feynman Integrals by : Stefan Weinzierl

Download or read book Feynman Integrals written by Stefan Weinzierl. This book was released on 2022-06-11. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Generalized Feynman Amplitudes. (AM-62), Volume 62

2016-03-02 Mathematics
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Release : 2016-03-02
Genre : Mathematics
Kind : eBook
Book Rating : 862/5 ( reviews)

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Book Synopsis Generalized Feynman Amplitudes. (AM-62), Volume 62 by : Eugene R. Speer

Download or read book Generalized Feynman Amplitudes. (AM-62), Volume 62 written by Eugene R. Speer. This book was released on 2016-03-02. Available in PDF, EPUB and Kindle. Book excerpt: This book contains a valuable discussion of renormalization through the addition of counterterms to the Lagrangian, giving the first complete proof of the cancellation of all divergences in an arbitrary interaction. The author also introduces a new method of renormalizing an arbitrary Feynman amplitude, a method that is simpler than previous approaches and can be used to study the renormalized perturbation series in quantum field theory.

Generalized Feynman amplitudes

Biography & Autobiography
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Genre : Biography & Autobiography
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Book Rating : 325/5 ( reviews)

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Book Synopsis Generalized Feynman amplitudes by : Eugene R. Speer

Download or read book Generalized Feynman amplitudes written by Eugene R. Speer. This book was released on . Available in PDF, EPUB and Kindle. Book excerpt:

An Introduction To Quantum Field Theory

2018-05-04 Science
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Release : 2018-05-04
Genre : Science
Kind : eBook
Book Rating : 105/5 ( reviews)

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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. This book was released on 2018-05-04. 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.

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