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Renormalized Polyakov loops in many representations

Renormalized Polyakov loops in many representations

We present a renormalization procedure for Polyakov loops which explicitly implements the fact that the renormalization constant depends only on the ultraviolet cutoff. Using this we study the renormalized Polyakov loops in all representations up to the $\mathbf{27}$ of the gauge group SU(3). We find good evidence for Casimir scaling …