From gauging nonrelativistic translations to \(N\)-body dynamics

DOI10.1006/aphy.2000.6120zbMath0981.81064arXivhep-th/0007102OpenAlexW1999836771WikidataQ62579714 ScholiaQ62579714MaRDI QIDQ5931234

Wojciech J. Zakrzewski, Jerzy Lukierski, Peter C. Stichel

Publication date: 21 March 2002

Published in: Annals of Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0007102

zbMATH Keywords

general relativitycontinuum of particlesextragravitational physicsfractional momentum eigenvaluesmonodimensional modelnonlinear Hamiltoniantorsion tensors

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Quantum field theory on curved space or space-time backgrounds (81T20) Methods of quantum field theory in general relativity and gravitational theory (83C47)

Related Items

General coordinate invariance and conformal invariance in nonrelativistic physics: unitary Fermi gas, A new type of conformal dynamics., Translational Chern-Simons action and new planar particle dynamics., Deformed Chern-Simons interaction for nonrelativistic point particles, A new formulation of non-relativistic diffeomorphism invariance

Cites Work

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• \(2+1\)-dimensional gravity as an exactly soluble system
• Topology, unitary representations and charged particles
• Role of surface integrals in the Hamiltonian formulation of general relativity
• Gauging of 1D-space translations for nonrelativistic matter -- geometric bags
• Problems with metric-teleparallel theories of gravitation
• Quantum mechanics of a point particle in -dimensional gravity