The Hopf Algebra of Renormalization, Normal Coordinates and Kontsevich Deformation Quantization
High Energy Physics - Theory
2009-11-10 v1
Abstract
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.
Cite
@article{arxiv.hep-th/0404233,
title = {The Hopf Algebra of Renormalization, Normal Coordinates and Kontsevich Deformation Quantization},
author = {M. Rosenbaum and J. D. Vergara},
journal= {arXiv preprint arXiv:hep-th/0404233},
year = {2009}
}
Comments
21 pages, 15 figures