Operadic Bridge Between Renormalization Theory and Vertex Algebras

DOI10.1007/978-4-431-55285-7_35zbMath1317.81208OpenAlexW2153401207MaRDI QIDQ5261363

Nikolay M. Nikolov

Publication date: 3 July 2015

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-4-431-55285-7_35

Mathematics Subject Classification ID

Model quantum field theories (81T10) Vertex operators; vertex operator algebras and related structures (17B69) Perturbative methods of renormalization applied to problems in quantum field theory (81T15) Applications of Lie (super)algebras to physics, etc. (17B81)

Related Items (2)

Vertex Algebras in Higher Dimensions Are Homotopy Equivalent to Vertex Algebras in Two Dimensions ⋮ Semi-differential operators and the algebra of operator product expansion of quantum fields

Cites Work

• Unnamed Item
• Vertex algebras in higher dimensions and globally conformal invariant quantum field theory
• The geometry of iterated loop spaces
• Operadic Construction of the Renormalization Group
• Renormalization of massless Feynman amplitudes in configuration space
• Talk on Anomalies in Quantum Field Theory and Cohomologies of Configuration Spaces
• Vertex algebras, Kac-Moody algebras, and the Monster
• Algebraic Operads
• Rationality of conformally invariant local correlation functions on compactified Minkowski space

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