The Maxwell, Yang-Mills and Einstein equations and closed path parallel propagation (Q1079749)

From authors' introduction: ''The subject of this paper is the reformulation of gauge theories in terms of a non-local variable. A gauge theory will mean either Maxwell theory, Yang-Mills theory or Einstein's general relativity or combinations of them. The Maxwell or Yang-Mills theories could be in either flat space or in curved space. The nonlocal variable, which has a simple geomeric interpretation, played (in one form or another) an important role in understanding the SU 2 and general relativistic instanton solutions as well as Penrose's nonlinear graviton construction. It was the desire to see how this variable could be used in the general cases.''