Factorization in quantum field theory: an exercise in Hopf algebras and local singularities

2003/06/03 by Dirk Kreimer, Kreimer, Dirk
Mathematics · Physics and Astronomy · #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Quantum Algebra (math.QA) #hep-th #math.QA

paper · pdf · doi:10.48550/arxiv.hep-th/0306020

20 p., Contributed to "Frontiers in Number Theory, Physics and Geometry", Les Houches, March 2003 (minor typos corrected)

arxiv created 2003/06/10 · arxiv updated 2009/11/30

Abstract

I discuss the role of Hochschild cohomology in Quantum Field Theory with particular emphasis on Dyson--Schwinger equations.

Related

• Hopf algebras and Dyson-Schwinger equations
• Algebra for quantum fields
• Quantum field theory in terms of consistency conditions I: General framework, and perturbation theory via Hochschild cohomology
• Factorization algebra
• Lessons from Quantum Field Theory - Hopf Algebras and Spacetime Geometries