Proceedings of the XXIst International Symposium on Lattice Field Theory : Tsukuba, Japan, 15-19 July 2003 Sinya Aoki ... The results converge to the horizontal lines, which represent either the Monte Carlo results (D alt; oo) or the exact result (D = oo). ... The extent of the space-time in the d dimensions (R) and that in the remaining (10 a d) dimensions (r) have been ... It was soon noticed that Schwinger-Dyson equations can be used to reduce the number of Feynman diagrams to beanbsp;...