The Fr\"ohlich-Morchio-Strocchi mechanism and quantum gravity

Understand

Taking manifest invariance under both gauge symmetry and diffeomorphisms as a guiding principle physical objects are constructed for Yang-Mills-Higgs theory coupled to quantum gravity.

• These objects are entirely classified by quantum numbers defined in the tangent space.
• Applying the Fr\"ohlich-Morchio-Strocchi mechanism to these objects reveals that they coincide with ordinary correlation functions in quantum-field theory, if quantum fluctuations of gravity and curvature become small.
• Taking these descriptions literally exhibits how quantum gravity fields need to dress quantum fields to create physical objects, i.e.