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Deriving confinement via RG decimations

Presenter: Terry Tomboulis — UCLA

E. T. Tomboulis

We present the building blocks of a recently completed derivation of the fact that the SU(2) LGT is in a confining phase for all values of the coupling, 0 < β <∞, for space-time dimension d ≤ 4. The method employs explicitly computable RG decimations that are shown to constrain the exact partition function and appropriate order parameters from above and below, and flow from the weak to the strong coupling regime without encountering a fixed point.