The quantum holonomy-diffeomorphism algebra and quantum gravity

DOI10.1142/S0217751X16500482zbMath1338.81216arXiv1404.1500MaRDI QIDQ2812735

Johannes Aastrup, Jesper Møller Grimstrup

Publication date: 13 June 2016

Published in: International Journal of Modern Physics A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1404.1500

zbMATH Keywords

noncommutative geometryquantum gravityunification

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Gravitational interaction in quantum theory (81V17) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Noncommutative geometry in quantum theory (81R60) Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70)

Related Items (4)

The metric nature of matter ⋮ Non‐perturbative Quantum Field Theory and the Geometry of Functional Spaces ⋮ On Representations of the Quantum Holonomy Diffeomorphism Algebra ⋮ On nonperturbative quantum field theory and noncommutative geometry

Cites Work

• On semi-classical states of quantum gravity and noncommutative geometry
• From quantum gravity to quantum field theory via noncommutative geometry

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