Feynman diagrams and polylogarithms: shuffles and pentagons

被引:4
|
作者
Kreimer, D [1 ]
机构
[1] Univ Mainz, Dept Phys, D-55099 Mainz, Germany
关键词
D O I
10.1016/S0920-5632(00)00858-6
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
We summarize the Hopf algebra structure on Feynman diagrams and emphasize the interest in further algebraic structures hidden in Feynman graphs.
引用
收藏
页码:289 / 294
页数:6
相关论文
共 50 条
  • [1] Generalizations of polylogarithms for Feynman integrals
    Bogner, Christian
    17TH INTERNATIONAL WORKSHOP ON ADVANCED COMPUTING AND ANALYSIS TECHNIQUES IN PHYSICS RESEARCH (ACAT2016), 2016, 762
  • [2] Feynman integrals and multiple polylogarithms
    Weinzierl, Stefan
    RENORMALIZATION AND GALOIS THEORIES, 2009, 15 : 247 - +
  • [3] Elliptic polylogarithms and Feynman parameter integrals
    Broedel, Johannes
    Duhr, Claude
    Dulat, Falko
    Penante, Brenda
    Tancredi, Lorenzo
    JOURNAL OF HIGH ENERGY PHYSICS, 2019, (05):
  • [4] Elliptic polylogarithms and Feynman parameter integrals
    Johannes Broedel
    Claude Duhr
    Falko Dulat
    Brenda Penante
    Lorenzo Tancredi
    Journal of High Energy Physics, 2019
  • [5] Multiple polylogarithms and linearly reducible Feynman graphs
    Bogner, Christian
    Lueders, Martin
    FEYNMAN AMPLITUDES, PERIODS AND MOTIVES, 2015, 648 : 11 - 28
  • [6] Polylogarithms and multizeta values in massless feynman amplitudes
    Institut des Hautes Études Scientifiques, 35 route de Chartres, Bures-sur-Yvette
    91440, France
    不详
    1784, Bulgaria
    Springer Proc. Math. Stat., (155-176):
  • [7] Scattering amplitudes, Feynman integrals and multiple polylogarithms
    Duhr, Claude
    FEYNMAN AMPLITUDES, PERIODS AND MOTIVES, 2015, 648 : 109 - 133
  • [8] STOCHASTIC DIAGRAMS AND FEYNMAN DIAGRAMS
    HUFFEL, H
    LANDSHOFF, PV
    NUCLEAR PHYSICS B, 1985, 260 (3-4) : 545 - 568
  • [9] FEYNMAN DIAGRAMS WITHOUT FEYNMAN PARAMETERS
    MENDELS, E
    NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA A-NUCLEI PARTICLES AND FIELDS, 1978, 45 (01): : 87 - 122
  • [10] DECOMPOSITION OF FEYNMAN DIAGRAMS
    CHANG, CK
    GLEESON, AM
    BULLETIN OF THE AMERICAN PHYSICAL SOCIETY, 1973, 18 (01): : 28 - 28