Lens Rigidity for a Particle in a Yang–Mills Field

Lens Rigidity for a Particle in a Yang–Mills Field

We consider the motion of a classical colored spinless particle under the influence of an external Yang–Mills potential A on a compact manifold with boundary of dimension ≥ 3 . We show that under suitable convexity assumptions, we can recover the potential A , up to gauge transformations, from the l...

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Veröffentlicht in:Communications in mathematical physics 2019-03, Vol.366 (2), p.681-707
Hauptverfasser: Paternain, Gabriel P., Uhlmann, Gunther, Zhou, Hanming
Format: Artikel
Sprache:eng
Schlagworte:
Classical and Quantum Gravitation
Complex Systems
Convexity
Mathematical and Computational Physics
Mathematical Physics
Physics
Physics and Astronomy
Quantum Physics
Relativity Theory
Theoretical
Travel time
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Zusammenfassung:We consider the motion of a classical colored spinless particle under the influence of an external Yang–Mills potential A on a compact manifold with boundary of dimension ≥ 3 . We show that under suitable convexity assumptions, we can recover the potential A , up to gauge transformations, from the lens data of the system, namely, scattering data plus travel times between boundary points.
ISSN:0010-3616
1432-0916
DOI:10.1007/s00220-019-03388-6