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hep-thJan 25, 2007
6
citations (OpenAlex)
authors
  • Isabella Bierenbaum
  • Dirk Kreimer
  • Stefan Weinzierl
institutions
  • Boston University
  • German Institute for Adult Education – Leibniz Centre for Lifelong Learning
  • Institut des Hautes Études Scientifiques
  • Johannes Gutenberg University Mainz
arXiv abstractPDF
paper

The next-to-ladder approximation for Dyson-Schwinger equations

arXiv:hep-th/0612180 · doi:10.1016/j.physletb.2007.01.018

Abstract

We solve the linear Dyson Schwinger equation for a massless vertex in Yukawa theory, iterating the first two primitive graphs.

5 pages, final version as to appear in PLB

References in corpus (5)

  • Exact solutions of Dyson-Schwinger equations for iterated one-loop integrals and propagator-coupling duality
  • An Étude in non-linear Dyson--Schwinger Equations
  • Towards cohomology of renormalization: bigrading the combinatorial Hopf algebra of rooted trees
  • Recursion and growth estimates in renormalizable quantum field theory
  • Dimensional renormalization: ladders to rainbows

Cited by in corpus (2)

  • Recursion and growth estimates in renormalizable quantum field theory
  • Renormalization and Mellin transforms
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