Geometric Inverse Problems in Gauge Theory

07.01.2021, 16:15  –  Online-Seminar
Forschungsseminar Differentialgeometrie

Chen Xi (Cambridge, UK)

The fundamental interactions of elementary particles are described by the Euler-Lagrange equations in the Standard Model of particle physics. The Yang-Mills equation addresses the electroweak and strong interactions of gauge bosons. We will discuss the uniqueness of the detection of gauge bosons from local measurements. In terms of differential geometry, the interactions of gauge bosons are modelled by the connections of the fibre bundle of the Standard Model, the parallel transport of the Yang-Mills connection is viewed as a broken X-ray transform, the detection of gauge bosons amounts to the reconstruction of connections via the X-ray transform.

This is a joint work with M. Lassas (Helsinki), L. Oksanen (UCL) and G. Paternain (Cambridge).

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