RG Decimations and Confinement

Abstract

We outline the steps in a derivation of the statement that the SU(2) gauge theory is in a confining phase for all values of the coupling, $0<\beta <\infty$, defined at lattice spacing a. The approach employed is to obtain both upper and lower bounds for the partition function and the `twisted' partition function in terms of approximate decimation transformations. The behavior of the exact quantities is thus constrained by that of the easily computable bounding decimations.

Comments: 6 pages, 1 figure, latex using espcrc2.sty, presented at `QCD Down Under', Adelaide, Australia, May 10-19, 2004