The next-to-ladder approximation for Dyson-Schwinger equations
Isabella Bierenbaum, Dirk Kreimer, Stefan Weinzierl
TL;DR
This paper introduces a novel approximation method for solving Dyson-Schwinger equations by iterating primitive graphs, providing new insights into non-perturbative quantum field theory calculations.
Contribution
It presents the next-to-ladder approximation for Dyson-Schwinger equations, advancing analytical techniques in quantum field theory.
Findings
Derived solutions for the Dyson-Schwinger equation in Yukawa theory
Demonstrated the effectiveness of the next-to-ladder approximation
Provided insights into non-perturbative regimes
Abstract
We solve the linear Dyson Schwinger equation for a massless vertex in Yukawa theory, iterating the first two primitive graphs.
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