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arXiv · 1909.10921

Stratified structure of the observable algebra of Hamiltonian lattice gauge theory

Sebastian Knappe·Gerd Rudolph·Matthias Schmidt
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Abstract

We consider Kaehler quantized models whose underlying classical phase space has a stratified structure induced from the Hamiltonian action of a compact Lie group. We show how to implement the classical stratification on the level of the C*-algebra of observables and discuss the relation to the costratification (in the sense of Huebschmann) of the physical Hilbert space. Our analysis is based on the T-procedure as developed by Grundling and Hurst. We apply the general theory to Yang-Mills theory on a finite lattice, where the stratification is given by the classical gauge orbit types.

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Sebastian Knappe, Gerd Rudolph, Matthias Schmidt. 2020-01-09. Stratified structure of the observable algebra of Hamiltonian lattice gauge theory. https://arxiv.org/abs/1909.10921

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