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Counterterms in the context of the universal Hopf algebra of renormalization. (English) Zbl 1286.81142

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

MSC:

81T15 Perturbative methods of renormalization applied to problems in quantum field theory
81R05 Finite-dimensional groups and algebras motivated by physics and their representations
16T05 Hopf algebras and their applications
17B81 Applications of Lie (super)algebras to physics, etc.
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