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math-phOct 1, 2010
2
citations (OpenAlex)
authors
  • Dirk Kreimer
  • Karen Yeats
institutions
  • Institut des Hautes Études Scientifiques
  • Simon Fraser University
arXiv abstractPDF
paper

Tensor structure from scalar Feynman matroids

arXiv:1010.5804 · doi:10.1016/j.physletb.2011.03.037

Abstract

We show how to interpret the scalar Feynman integrals which appear when reducing tensor integrals as scalar Feynman integrals coming from certain nice matroids.

12 pages, corrections suggested by referees

References in corpus (11)

  • Connection between Feynman integrals having different values of the space-time dimension
  • High-precision calculation of multi-loop Feynman integrals by difference equations
  • Space-time dimensionality D as complex variable: calculating loop integrals using dimensional recurrence relation and analytical properties with respect to D
  • On Motives Associated to Graph Polynomials
  • Feynman graph polynomials
  • On the periods of some Feynman integrals
  • Knots and Numbers in ϕ4 Theory to 7 Loops and Beyond
  • A K3 in phi4
  • Calculating multiloop integrals using dimensional recurrence relation and D-analyticity
  • Feynman amplitudes and Landau singularities for 1-loop graphs
  • On the reduction of Feynman integrals to master integrals

Cited by in corpus (2)

  • Hepp's bound for Feynman graphs and matroids
  • Z-Sum Approach to Loop Integrals using Taylor Expansion
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