Abstract
We study to what extent the three-dimensional SU( N) + adjoint Higgs theory can be used as an effective theory for finite-temperature SU( N) gauge theory, with N = 2, 3. The parameters of the 3d theory are computed in 2-loop perturbation theory in terms of T/Λ MS , N and N f . The perturbative effective potential of the 3d theory is computed to two loops for N = 2. While the Z(N) symmetry probably driving the 4d confinement-deconfinement phase transition (for N f = 0) is not explicit in the effective Lagrangian, it is partly reinstated by radiative effects in the 3d theory. Lattice simulations in the 3d theory are carried out for N = 2, and the static screening masses relevant for the high-temperature phase of the 4d theory are measured. In particular, we measure non-perturbatively the O( g 2 T) correction to the Debye screening mass. We find that non-perturbative effects are much larger in the SU(2) + adjoint Higgs theory than in the SU(2) + fundamental Higgs theory.
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