Feynman Integrals: A Comprehensive Treatment for Students and Researchers

This textbook provides a comprehensive introduction to Feynman integrals, covering topics such as representations, integration by parts, differential equations, intersection theory, multiple polylogarithms, Gelfand-Kapranov-Zelevinsky systems, actions, symbols, cluster algebras, elliptic Feynman integrals, and motives. It is suitable for students at the master's level in physics or mathematics, physicists who want to learn how to calculate Feynman integrals, and mathematicians who are interested in the mathematical aspects underlying Feynman integrals.

Format: Hardback
Length: 857 pages
Publication date: 12 June 2022
Publisher: Springer Nature Switzerland AG

This comprehensive textbook on Feynman integrals provides a solid foundation for those seeking to delve into the realm of quantum field theory. Starting from the basics, it assumes only a knowledge of special relativity and undergraduate mathematics, making it accessible to a wide range of readers. Feynman integrals play a crucial role in precision calculations within this field, and their mathematical beauty adds an extra layer of fascination. As the text progresses, it introduces topics from quantum field theory and advanced mathematics as necessary, ensuring a smooth and coherent understanding of the subject matter.

The book encompasses modern advancements in the field of Feynman integrals, covering a wide range of topics. These include representations of Feynman integrals, integration-by-parts techniques, differential equations, intersection theory, multiple polylogarithms, Gelfand-Kapranov-Zelevinsky systems, actions and symbols, cluster algebras, elliptic Feynman integrals, and motives associated with Feynman integrals. This volume is designed to cater to a diverse audience. It serves as a valuable resource for students at the master's level in physics or mathematics, providing them with a comprehensive understanding of Feynman integrals and their applications. Physicists who wish to learn how to calculate Feynman integrals will find this book particularly useful, as it offers state-of-the-art techniques and computations to facilitate their understanding and exploration of this complex subject. Additionally, mathematicians with an interest in the mathematical aspects underlying Feynman integrals will find this text intriguing, as it delves into the interwoven nature of physics and mathematics that makes Feynman integrals so captivating.

In conclusion, this textbook on Feynman integrals is a must-read for anyone interested in quantum field theory and mathematics. Its accessible writing style, comprehensive coverage, and modern developments make it an invaluable resource for students, physicists, and mathematicians alike. By unraveling the mysteries of Feynman integrals, readers will gain a deeper appreciation for the intricate interplay between physics and mathematics, and their applications in the world of quantum mechanics.

Weight: 1466g
Dimension: 235 x 155 (mm)
ISBN-13: 9783030995577
Edition number: 1st ed. 2022