1995/09/01 by Jouko Mickelsson, Mickelsson, Jouko · 2 citations
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebra over a field #Algebraic structures and combinatorial models #Algorithm #Black Holes and Theoretical Physics #Commutation #FOS: Physical sciences #Field (mathematics) #Hamiltonian (control theory) #High Energy Physics - Theory (hep-th) #Mathematical physics #Mathematics #Operator (biology) #Physics #Pure mathematics #Quantization (signal processing) #Quantum field theory #Quantum mechanics #Renormalization #Theoretical physics #hep-th
paper · pdf · doi:10.48550/arxiv.hep-th/9509002
published in arXiv (Cornell University) (Cornell University) · Lectures given at the Banach Center symposium "Differential Geometry and Mathematical Physics", May 15 - 23, 1995. This is an AMS-TEX file. 18 output pages
arxiv created 1995/09/01 · openalex publication_date 1995/09/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
These notes explain recent developments concerning chiral anomalies and hamiltonian quantization, their relation to the theory of gerbes, and extensions of generalized loop algebras using the residue calculus of pseudodifferential operators. The renormalization of the Dirac field, leading to Schwinger terms in equal time commutation relations, is treated in a mathematically rigorous manner. The same renormalization can be used to prove the existence of S-operator in background field problems.