The necklace Lie coalgebra and renormalization algebras

DOI10.4171/JNCG/19zbMath1225.17024arXivmath-ph/0702055OpenAlexW2155151418MaRDI QIDQ933191

Travis Schedler, Wee Liang Gan

Publication date: 21 July 2008

Published in: Journal of Noncommutative Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0702055

Mathematics Subject Classification ID

Perturbative methods of renormalization applied to problems in quantum field theory (81T15) Lie bialgebras; Lie coalgebras (17B62) Hopf algebras and their applications (16T05)

Related Items

General Dyson-Schwinger equations and systems, Wells sequences for abelian extensions of Lie coalgebras, Coderivations, abelian extensions and cohomology of Lie coalgebras

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Loops on surfaces, Feynman diagrams, and trees
• Necklace Lie algebras and noncommutative symplectic geometry.
• The Hopf algebras of decorated rooted trees. II
• The symplectic nature of fundamental groups of surfaces
• Hopf algebras, renormalization and noncommutative geometry
• On the Hopf algebra strucutre of perturbative quantum field theories
• On the Lie enveloping algebra of a pre-Lie algebra.
• The Poisson structure on the moduli space of flat connections and chord diagrams
• The cohomology structure of an associative ring
• Zeroth Hochschild homology of preprojective algebras over the integers
• Skein quantization of Poisson algebras of loops on surfaces
• Non-commutative symplectic geometry, quiver varieties, and operads