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

Arnal D; Brouder Ch Oeckl R; Brouder Ch Schmitt W; Dito G Sternheimer D; Duflo M; Ebrahimi-Fard K Guo L Kreimer D; Gutt S; J D Vergara; Kathotia V; Kontsevich M; Kreimer D; M Rosenbaum; Polyak M; Reutenauer C; Shoikhet B; Takhtajan L A

research

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

Authors: Arnal D
Brouder Ch Oeckl R
Brouder Ch Schmitt W
Dito G Sternheimer D
Duflo M
Ebrahimi-Fard K Guo L Kreimer D
Gutt S
J D Vergara
Kathotia V
Kontsevich M
Kreimer D
M Rosenbaum
Polyak M
Reutenauer C
Shoikhet B
Takhtajan L A
Publication date: 1 January 2004
Publisher: 'IOP Publishing'
Doi

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.Comment: 21 pages, 15 figure

Similar works

Full text

Available Versions

Crossref

Last time updated on 01/04/2019