ID - 131910900 TI - Feynman Integrals : A Comprehensive Treatment for Students and Researchers PY - 2022 SN - 9783030995584 9783030995577 9783030995591 9783030995607 PB - Cham Springer International Publishing DB - UniCat KW - Geometry KW - Mathematical physics KW - Quantum mechanics. Quantumfield theory KW - Elementary particles KW - elementaire deeltjes KW - quantumfysica KW - landmeetkunde KW - theoretische fysica KW - kwantumleer KW - wiskunde KW - fysica KW - Feynman integrals. KW - Function spaces. KW - Quantum field theory. UR - https://www.unicat.be/uniCat?func=search&query=sysid:131910900 AB - 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. ER -