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arXiv · 1401.4275

Strict Deformation Quantisation of the G-connections via Lie Groupoid

Alan Lai
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Abstract

Motivated by the compactification process of the space of connections in loop quantum gravity literature. A description of the space of G-connections using the tangent groupoid is given. As the tangent groupoid parameter is away from zero, the G-connections are (strictly) deformation quantised to noncommuting elements using C*-algebraic formalism. The approach provides a mean to obtaining a semi-classical limit in loop quantum gravity.

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Alan Lai. 2014-01-17. Strict Deformation Quantisation of the G-connections via Lie Groupoid. https://arxiv.org/abs/1401.4275

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