000			02144 a2200229 4500
008			230301b |||||||| |||| 00| 0 eng d
020			_a9783030995577 (HB)
041			_aeng
080			_a530.145 _bWEI
100			_aWeinzierl,Stefan
245			_aFeynman Integrals _bA Comprehensive Treatment for Students and Researchers
260			_bSpringer _c2022 _aSwitzerland
300			_axiv,856 p
490			_aUnitext for physics
505			_aIntroduction Basics Graph polynomials Quantum field theory One-loop integrals Iterated integrals Transformations of differential equations Multiple polylogarithms Nested sums Sector decomposition Hopf algebras, coactions and symbols Cluster algebras Elliptic curves Motives and mixed Hodge structures Numerics Final project
520			_aThis 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
650			_aFeynman integrals
650			_aFeynman integrals
650			_aFeynman-Graph
690			_aPhysics
942			_cBK
999			_c59340 _d59340