Constrained quantization in algebraic field theory

1998/07/24 by N. P. Landsman, Landsman, N. P.
Mathematics · Physics and Astronomy · #81T05 #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Operator Algebras (math.OA) #math-ph #math.MP #math.OA #msc:81T05

paper · pdf · doi:10.48550/arxiv.math-ph/9807029

5 pages

arxiv created 1998/07/24 · arxiv updated 2009/11/30

Abstract

Quantization relates Poisson algebras to C^*-algebras. The analysis of local gauge symmetries in algebraic quantum field theory is approached through the quantization of classical gauge theories, regarded as constrained dynamical systems. This approach is based on the analogy between symplectic reduction and Rieffel induction on the classical and on the quantum side, respectively. Thus one is led to a description of e.g. θ-angles and gauge anomalies in the algebraic setting.

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