The confined-deconfined interface tension, wetting, and the spectrum of the transfer matrix

Physics – High Energy Physics – High Energy Physics - Lattice

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Talk presented at the International Conference on Lattice Field Theory, Lattice 92, to be published in the proceedings, 4 page

Scientific paper

10.1016/0920-5632(93)90344-6

The reduced tension $\sigma_{cd}$ of the interface between the confined and the deconfined phase of $SU(3)$ pure gauge theory is determined from numerical simulations of the first transfer matrix eigenvalues. At $T_c = 1/L_t$ we find $\sigma_{cd} = 0.139(4) T_c^2$ for $L_t = 2$. The interfaces show universal behavior because the deconfined-deconfined interfaces are completely wet by the confined phase. The critical exponents of complete wetting follow from the analytic interface solutions of a $\Z(3)$-symmetric $\Phi^4$ model in three dimensions. We find numerical evidence that the confined-deconfined interface is rough.

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