Counterterms in the context of the universal Hopf algebra of renormalization-Reference-Cited by-同舟云学术

Counterterms in the context of the universal Hopf algebra of renormalization

Published:2014-03-24 Issue:08 Volume:29 Page:1450045
ISSN:0217-751X
Container-title:International Journal of Modern Physics A
language:en
Short-container-title:Int. J. Mod. Phys. A

Author:

Shojaei-Fard Ali¹

Affiliation:

1. Institute of Mathematics, University of Potsdam, D-14469 Potsdam, Germany

Abstract

The manuscript discovers a new interpretation of counterterms of renormalizable Quantum Field Theories in terms of formal expansions of decorated rooted trees.

Publisher

World Scientific Pub Co Pte Lt

Subject

Astronomy and Astrophysics,Nuclear and High Energy Physics,Atomic and Molecular Physics, and Optics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0217751X14500456

Reference31 articles.

1. Renormalization in Quantum Field Theory and the Riemann-Hilbert Problem I: The Hopf Algebra Structure of Graphs and the Main Theorem

2. Renormalization in Quantum Field Theory and the Riemann--Hilbert Problem II: The β-Function, Diffeomorphisms and the Renormalization Group

3. Colloquium Publications;Connes A.,2008

4. Mixable shuffles, quasi-shuffles and Hopf algebras

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