# $$\hbox {Next-to}{}^k$$ Leading Log Expansions by Chord Diagrams

@article{Courtiel2020hboxL,
title={\$\$\hbox \{Next-to\}\{\}^k\$\$ Leading Log Expansions by Chord Diagrams},
author={Julien Courtiel and Karen A. Yeats},
journal={Communications in Mathematical Physics},
year={2020}
}
• Published 12 June 2019
• Mathematics
• Communications in Mathematical Physics
Green functions in a quantum field theory can be expanded as bivariate series in the coupling and a scale parameter. The leading logs are given by the main diagonal of this expansion, i.e. the subseries where the coupling and the scale parameter appear to the same power; then the next-to leading logs are listed by the next diagonal of the expansion, where the power of the coupling is incremented by one, and so on. We give a general method for deriving explicit formulas and asymptotic estimates…
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