Nonperturbative two-body dynamics in 2+1-dimensional gravity

DOI10.1063/1.530396zbMath0783.70016OpenAlexW2015231468MaRDI QIDQ4697281

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Publication date: 29 June 1993

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

Full work available at URL: https://doi.org/10.1063/1.530396

zbMATH Keywords

Wilson loopPoincaré gauge theoryChern-Simons-Witten actiongravity Hamiltonianmetrical space-time

Mathematics Subject Classification ID

Gravitational interaction in quantum theory (81V17) (2)-body potential quantum scattering theory (81U05) Relativistic gravitational theories other than Einstein's, including asymmetric field theories (83D05) Relativistic dynamics for problems in Hamiltonian and Lagrangian mechanics (70H40)

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Cites Work

• Einstein's theory in a three-dimensional space-time
• Classical and quantum scattering on a cone
• Topological quantum field theory
• Non-perturbative 2 particle scattering amplitudes in \(2+1\) dimensional quantum gravity
• Role of surface integrals in the Hamiltonian formulation of general relativity
• Classical and quantum scattering on a spinning cone
• 't HOOFT'S SCATTERING AMPLITUDE FROM CHERN–SIMONS–WITTEN GRAVITY IN 2+1 DIMENSIONS
• NON-PERTURBATIVE GAUGE THEORETIC TREATMENT OF TWO-PARTICLE SCATTERING IN (2 + 1)-DIMENSIONAL GRAVITY
• Fixation of Coordinates in the Hamiltonian Theory of Gravitation
• Consistency of the Canonical Reduction of General Relativity
• Quantum Theory of Gravity. I. The Canonical Theory