Some results on Landau poles and Feynman diagram cut structure by Hopf algebra
William Dallaway, Karen Yeats
TL;DR
This paper explores the mathematical structure of Feynman diagrams in quantum field theory, focusing on Landau poles and the cut structure using Hopf algebra techniques.
Contribution
It introduces a novel combinatorial approach to analyze the cut structure of Feynman diagrams via Hopf algebra methods.
Findings
New insights into Landau poles in scalar field theory
Enhanced understanding of Feynman diagram cut structures
Development of algebraic tools for quantum field theory analysis
Abstract
We investigate a system of differential equations for the beta function of massless scalar theory and continue the combinatorial investigation of the cut structure of Feynman diagrams.
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Taxonomy
TopicsAdvanced Topics in Algebra · Black Holes and Theoretical Physics · Algebraic structures and combinatorial models