Project Details
Die mathematische Struktur von renormierbaren Quantenfeldtheorien, Hopf-Algebren und algebraische Geometrie
Applicant
Professor Dr. Elmar Vogt
Subject Area
Mathematics
Term
from 2005 to 2008
Project identifier
Deutsche Forschungsgemeinschaft (DFG) - Project number 5444021
Final Report Year
2008
Final Report Abstract
No abstract available
Publications
- Algebraic aspects of perturbative and non-perturbative QFT, International Congress on Mathematical Physics (Rio de Janeiro), August 2006
C. Bergbauer
- Hopf algebras in renormalization theory: Locality and Dyson-Schwinger equations from Hochschild cohomology. IR- NIA Lect. Math. Theor. Phys. 10 (2006) 133-164, "Physics and Number Theory", L. Nyssen (ed.), EMS
C. Bergbauer and D. Kreimer
- Hopf- and Lie algebras in perturbative renormalization, and Dyson-Schwinger equations. Fourth East-Coast Operator Algebra Symposium, Georgia Tech, Atlanta, September 2006
C. Bergbauer
- Locality and Dyson-Schwinger equations from Hochschild cohomology of Renormalization Hopf algebras. Mathematisches Forschungsinstitut Oberwolfach, Mai 2006
C. Bergbauer
- Locality and Dyson-Schwinger equations from the Hochschild cohomology of renormalization Hopf algebras. Oberwolfach Rep. 3 no 2 (2006) 1252-1253
C. Bergbauer
- On the Cutkosky rules for Feynman graphs, Boston University Mathematical Physics Seminar, Oktober 2006
C. Bergbauer
- On renormalization in coordinate space, Boston University Mathematical Physics Seminar, Oktober 2007
C. Bergbauer
- On rooted trees and Dyson-Schwinger equations with a view towards Epsteln-Glaser renormalization, Erwin Schrödinger-Institut Wien, März 2007
C. Bergbauer
- On the renormalization and computation of Feynman graphs in coordinate space, Kolloquium des SFB TR 45, Universität Mainz, Dezember 2007
C. Bergbauer