000 02299nam a22002897a 4500
003 OSt
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020 _a9783030995607
040 _aNISER LIBRARY
_beng
_cNISER LIBRARY
082 _a517.3
_bWEI-F
100 _aWeinzierl, Stefan
245 _aFeynman integrals :
_ba comprehensive treatment for students and researchers
260 _aCham, Switzerland :
_bSpringer,
_c2022.
300 _axiv, 857 pages :
_billustrations (110 b/w illustrations, 32 illustrations in colour) ;
490 _aUnitext for physics,
_x2198-7882
504 _aIncludes bibliographical references and index
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 _aPerturbation theory
650 _aGraph polynomials
650 _aMultiple polylogarithms
650 _aGKZ Systems
856 _3Table of content
_uhttps://link.springer.com/content/pdf/bfm:978-3-030-99558-4/1
856 _3Reviews
_uhttps://www.goodreads.com/book/show/84884672-feynman-integrals?ref=nav_sb_ss_1_13#CommunityReviews
942 _2udc
_cBK
999 _c35878
_d35878