Exponential renormalisation. II. Bogoliubov's R-operation and momentum subtraction schemes

DOI10.1063/1.4742185zbMath1278.81131arXiv1104.3415OpenAlexW3098134691MaRDI QIDQ2872240

Frédéric Patras, Kurusch Ebrahimi-Fard

Publication date: 14 January 2014

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1104.3415

Mathematics Subject Classification ID

Perturbative methods of renormalization applied to problems in quantum field theory (81T15) Hopf algebras and their applications (16T05)

Related Items (3)

The bialgebra of specified graphs and external structures ⋮ Doubling bialgebras of graphs and Feynman rules ⋮ An algebraic formulation of the locality principle in renormalisation

Cites Work

• Exponential renormalization
• Über die Multiplikation der Kausalfunktionen in der Quantentheorie der Felder
• Hopf algebras, renormalization and noncommutative geometry
• On the Hopf algebra strucutre of perturbative quantum field theories
• Renormalization in quantum field theory and the Riemann-Hilbert problem. I: The Hopf algebra structure of graphs and the main theorem
• A Lie theoretic approach to renormalization
• Convergence of Bogoliubov's method of renormalization in momentum space
• Simple approach to renormalization theory
• Hopf Algebras in Renormalisation
• The combinatorics of Bogoliubov’s recursion in renormalization
• The Field Theoretic Renormalization Group in Critical Behavior Theory and Stochastic Dynamics
• Bogolyubov'sR-operation and the Bogolyubov-Parasyuk theorem
• Renormalization
• COMBINATORIAL HOPF ALGEBRAS IN QUANTUM FIELD THEORY I
• Chen's iterated integral represents the operator product expansion
• Renormalization in quantum field theory and the Riemann-Hilbert problem. II: The \(\beta\)-function, diffeomorphisms and the renormalization group.

This page was built for publication: Exponential renormalisation. II. Bogoliubov's R-operation and momentum subtraction schemes