On The Equivalence Of Four Dimensional And Two dimensional Field Theories

Abstract

We investigate the dimensional, the dynamical and the topological structures of four dimensional Einstein and Yang-Mills theories. It is shown that these theories are constructed from two dimensional quantities, so that they possess always a distinguished two dimensional substructure. In this sense the four dimensional field theories are equivalent to related two dimensional field theories.

arXiv comment19 pages, Latex, a revised version