Leading log expansion of combinatorial Dyson Schwinger equations

2016/02/28 by Lucas Delage, Delage, Lucas
Mathematics · #Advanced Combinatorial Mathematics #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Combinatorics (math.CO) #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th)

paper · pdf · doi:10.48550/arxiv.1602.08705

openalex publication_date 2016/02/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study combinatorial Dyson Schwinger equations, expressed in the Hopf algebra of words with a quasi shuffle product. We map them into an algebra of polynomials in one indeterminate L and show that the leading log expansion one obtains with such a mapping are simple power law like expression

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