3d SU(N) + adjoint Higgs theory and finite temperature QCD

Details 3d SU(N) + adjoint Higgs theory and finite temperature QCD 3d SU(N) + adjoint Higgs theory and finite temperature QCD

1997-04-28

arxiv.org/abs/hep-ph/9704416v1

Nucl.Phys. B503 (1997) 357-384

Physics

High Energy Physics

High Energy Physics - Phenomenology

30 pages, 9 figures

Scientific paper

10.1016/S0550-3213(97)00425-2

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/Lambda_MSbar,N,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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