3d SU( N) + adjoint Higgs theory and finitetemperature QCD
Abstract
We study to what extent the threedimensional SU( N) + adjoint Higgs theory can be used as an effective theory for finitetemperature SU( N) gauge theory, with N = 2, 3. The parameters of the 3d theory are computed in 2loop perturbation theory in terms of T/Λ _{overlineMS}, 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 confinementdeconfinement 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 hightemperature phase of the 4d theory are measured. In particular, we measure nonperturbatively the O( g^{2}T) correction to the Debye screening mass. We find that nonperturbative effects are much larger in the SU(2) + adjoint Higgs theory than in the SU(2) + fundamental Higgs theory.
 Publication:

Nuclear Physics B
 Pub Date:
 February 1997
 DOI:
 10.1016/S05503213(97)004252
 arXiv:
 arXiv:hepph/9704416
 Bibcode:
 1997NuPhB.503..357K
 Keywords:

 High Energy Physics  Phenomenology;
 High Energy Physics  Lattice
 EPrint:
 30 pages, 9 figures