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Wick Theorem and Hopf Algebra Structure in Causal Perturbative Quantum Field Theory

2022/02/16 by Dan-Radu Grigore, Grigore, Dan-Radu
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Noncommutative and Quantum Gravity Theories

paper · pdf · doi:10.48550/arxiv.2202.08056

openalex publication_date 2022/02/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider the general framework of perturbative quantum field theory for the pure Yang-Mills model. We give a more precise version of the Wick theorem using Hopf algebra notations for chronological products and not for Feynman graphs. Next we prove that Wick expansion property can be preserved for all cases in order n = 2. However, gauge invariance is broken for chronological products of Wick submonomials.

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