RG Decimations and Confinement

Details RG Decimations and Confinement RG Decimations and Confinement

2004-09-06

arxiv.org/abs/hep-lat/0409019v1

Physics

High Energy Physics

High Energy Physics - Lattice

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

Scientific paper

10.1016/j.nuclphysbps.2004.12.01

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.

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