3-D SU(N) + adjoint Higgs theory and finite temperature QCD
Apr, 1997
30 pages
Published in:
- Nucl.Phys.B 503 (1997) 357-384
e-Print:
- hep-ph/9704416 [hep-ph]
Report number:
- CERN-TH-97-081,
- CERN-TH-97-81,
- BI-TP-97-10,
- HD-THEP-97-17
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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/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.Note:
- 30 pages, 9 figures Report-no: CERN-TH/97-81, BI-TP 97/10, HD-THEP-97-17
- 11.15.Ha
- 12.38.Mh
- 98.80.Cq
- 11.10Wx
- QCD at high temperature
- Dimensional reduction
- Lattice simulations
- gauge field theory: SU(N)
- dimension: 3
- Higgs model
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