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Feynman Integrals - A Comprehensive Treatment for Students and Researchers (Hardcover, 1st ed. 2022)
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Feynman Integrals - A Comprehensive Treatment for Students and Researchers (Hardcover, 1st ed. 2022)
Series: UNITEXT for Physics
Expected to ship within 12 - 17 working days
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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.
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