Snyder space revisited

DOI10.1016/j.nuclphysb.2011.09.022zbMath1229.81152arXiv1108.1832OpenAlexW2056822923MaRDI QIDQ659402

Juan-Miguel Gracia

Publication date: 18 January 2012

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1108.1832

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) Noncommutative geometry in quantum theory (81R60)

Related Items (16)

Deformed quantum phase spaces, realizations, star products and twists ⋮ Symmetric ordering and Weyl realizations for quantum Minkowski spaces ⋮ From phase space to multivector matrix models ⋮ Dynamics of a Dirac fermion in the presence of spin noncommutativity ⋮ Quantum mechanics on a curved Snyder space ⋮ A Poincaré covariant noncommutative spacetime ⋮ Symmetries of \(\kappa\)-Minkowski space-time: a possibility of exotic momentum space geometry? ⋮ \(\kappa\)-Galilean and \(\kappa\)-Carrollian noncommutative spaces of worldlines ⋮ Covariant dynamics on the momentum space ⋮ Effect of Snyder–de Sitter Model on the black hole thermodynamics in the context of rainbow gravity ⋮ Covariant dynamics on the energy-momentum space: scalar field theory ⋮ Supersymmetric extension of the Snyder algebra ⋮ Particle dynamics on Snyder space ⋮ Thermal and spectral dimension of (generalized) Snyder noncommutative spacetimes ⋮ Lorentzian Snyder spacetimes and their Galilei and Carroll limits from projective geometry ⋮ Path integral in Snyder space

Cites Work

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• Relativistic particles on quantum space-time
• The area quantum and Snyder space
• Particle dynamics on Snyder space
• Scalar field theory in Snyder space-time: alternatives
• Quantum mechanics of a point particle in -dimensional gravity
• A dynamical model for the origin of Snyder's quantized spacetime algebra
• Quantization of point particles in (2 + 1)-dimensional gravity and spacetime discreteness
• Quantized Space-Time
• Quantized Space-Time

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