Lens rigidity for a particle in a Yang-Mills field

DOI10.1007/s00220-019-03388-6zbMath1415.53011arXiv1710.01836OpenAlexW2964027508MaRDI QIDQ1731122

Gabriel P. Paternain, Gunther Uhlmann, Hanming Zhou

Publication date: 20 March 2019

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

Full work available at URL: https://arxiv.org/abs/1710.01836

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07)

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Cites Work

• Classical limits for quantum particles in external Yang-Mills potentials
• Local Lens rigidity with incomplete data for a class of non-simple Riemannian manifolds
• Isoholonomic problems and some applications
• Canonical formulations of a classical particle in a Yang-Mills field and Wong's equations
• Rigidity for metrics with the same lengths of geodesics
• A universal phase space for particles in Yang-Mills fields
• Semiglobal boundary rigidity for Riemannian metrics
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• Inverting the local geodesic X-ray transform on tensors
• Semiclassical asymptotics, gauge fields, and quantum chaos
• Fourier integral operators. II
• The inverse problem for the local geodesic ray transform
• Boundary rigidity with partial data
• Recovering a tensor on the boundary from polarization and phase measurements
• Minimal coupling and the symplectic mechanics of a classical particle in the presence of a Yang-Mills field
• Inverse problems: seeing the unseen
• The geodesic X-ray transform with matrix weights
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