Abstract
Another motivation for introducing non-local variables is t o study global properties of Yang-Mills theory like the scattering matrix between "in" and "out" states. To study this problem one begins by using the conformal invariance of Yang-Mills equations to I = ~ 2 r l a b a s work in compactified Minkowski space, that is, to use a rescaled metric gab ! the background geometry. The scalar field 12 and metric gab are assumed to be smooth on a compactified space consisting of Minkowski space and two boundaries I +. These boundaries are hypersurfaces where f~ = 0 and represent the idea of infinity along null directions [7].
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