Renormalization in Combinatorially Non-Local Field Theories: the BPHZ Momentum Scheme

• Veröffentlicht in: Symmetry, Integrability and Geometry: Methods and Applications
• Datum: 2021
• 1. Verfasser: Thürigen, Johannes
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут математики НАН України 2021
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/211433
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: Renormalization in Combinatorially Non-Local Field Theories: the BPHZ Momentum Scheme. Johannes Thürigen. SIGMA 17 (2021), 094, 14 pages

Various combinatorially non-local field theories are known to be renormalizable. Still, explicit calculations of amplitudes are very rare and restricted to matrix field theory. In this contribution, I want to demonstrate how the BPHZ momentum scheme in terms of the Connes-Kreimer Hopf algebra applie...