Connecting short to long scales in the confining vacuum

Details Connecting short to long scales in the confining vacuum Connecting short to long scales in the confining vacuum

2003-11-17

arxiv.org/abs/hep-lat/0311022v1

Physics

High Energy Physics

High Energy Physics - Lattice

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

Scientific paper

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.

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