  Spherical reduction of generic four-dimensional theories is revisited. Three
different notions of "spherical symmetry" are defined. The following sectors
are investigated: Einstein-Cartan theory, spinors, (non-)abelian gauge fields
and scalar fields. In each sector a different formalism seems to be most
convenient: the Cartan formulation of gravity works best in the purely
gravitational sector, the Einstein formulation is convenient for the Yang-Mills
sector and for reducing scalar fields, and the Newman-Penrose formalism seems
to be the most transparent one in the fermionic sector. Combining them the
spherically reduced Standard Model of particle physics together with the
usually omitted gravity part can be presented as a two-dimensional (dilaton
gravity) theory.
