GEOMETRICALLY RELATING MOMENTUM CUT-OFF AND DIMENSIONAL REGULARIZATION

DOI10.1142/S0219887812500818zbMath1262.81087arXiv1107.5533MaRDI QIDQ4910913

Susama Agarwala

Publication date: 13 March 2013

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1107.5533

zbMATH Keywords

dimensional regularizationHopf algebra\(\beta \) functionmomentum cut-off regularization

Mathematics Subject Classification ID

Model quantum field theories (81T10) Feynman diagrams (81T18) Hopf algebras and their applications (16T05)

Related Items (2)

A GEOMETRIC PERSPECTIVE ON COUNTERTERMS RELATED TO DYSON–SCHWINGER EQUATIONS ⋮ The geometric β-function in curved space-time under operator regularization

Cites Work

• The Hopf algebra of Feynman graphs in quantum electrodynamics
• A perspective on regularization and curvature
• On matrix differential equations in the Hopf algebra of renormalization
• Renormalization of Feynman integrals on the lattice
• Renormalization in quantum field theory and the Riemann-Hilbert problem. I: The Hopf algebra structure of graphs and the main theorem
• Quantum fields and motives
• Spitzer's identity and the algebraic Birkhoff decomposition in pQFT
• Renormalization
• Renormalization in quantum field theory and the Riemann-Hilbert problem. II: The \(\beta\)-function, diffeomorphisms and the renormalization group.

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