The Hopf Algebra of Renormalization, Normal Coordinates and Kontsevich Deformation Quantization

Details The Hopf Algebra of Renormalization, Normal Coordinates and Kontsevich Deformation Quantization The Hopf Algebra of Renormalization, Normal Coordinates and Kontsevich Deformation Quantization

2004-04-28

arxiv.org/abs/hep-th/0404233v1

J.Phys. A37 (2004) 7939-7954

Physics

High Energy Physics

High Energy Physics - Theory

21 pages, 15 figures

Scientific paper

10.1088/0305-4470/37/32/008

Using normal coordinates in a Poincar\'e-Birkhoff-Witt basis for the Hopf
algebra of renormalization in perturbative quantum field theory, we investigate
the relation between the twisted antipode axiom in that formalism, the Birkhoff
algebraic decomposition and the universal formula of Kontsevich for quantum
deformation.

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