Deriving confinement via RG decimations

Details Deriving confinement via RG decimations Deriving confinement via RG decimations

2007-10-10

arxiv.org/abs/0710.1894v1

PoSLAT2007:336,2007

Physics

High Energy Physics

High Energy Physics - Lattice

7 pages, presented at the XXV International Symposium on Lattice Field Theoy, July 30 - August 4 2007, Regensburg, Germany

Scientific paper

We present the general framework and building blocks of a recent derivation of the fact that the SU(2) LGT is in a confining phase for all values of the coupling $0 < \beta < \infty$, for space-time dimension $d \leq 4$. The method employs approximate but explicitly computable RG decimations that are shown to constrain the exact partition function and order parameters from above and below, and flow from the weak to the strong coupling regime without encountering a fixed point.

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