Connecting short to long scales in the confining vacuum

Abstract

We study approximate decimations in SU(N) LGT that connect the short to long distance regimes. Simple `bond-moving' decimations turn out to provide both upper and lower bounds on the exact partition function. This leads to a representation of the exact partition function in terms of successive decimations whose effective couplings flows are related to those of the easily computable bond-moving decimations. The implications for a derivation of confinement from first principles are discussed.

Comments: 10 pages, 2 figures, Latex, Invited talk at Confinement 2003, Tokyo, Japan, July 21-24, 2003, to appear in the proceedings