Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2000-03-03
Nucl.Phys. B581 (2000) 477-498
Physics
High Energy Physics
High Energy Physics - Lattice
27 pages
Scientific paper
10.1016/S0550-3213(00)00263-7
We investigate the three-dimensional SU(3) gauge theory at finite temperature in the framework of dimensional reduction. The large scale properties of this theory are expected to be conceptually more complicated than in four dimensions. The dimensionally reduced action is computed in closed analytical form. The resulting effective two-dimensional theory is studied numerically both in the electric and magnetic sector. We find that dimensional reduction works excellently down to temperatures of 1.5 times the deconfinement phase transition temperature and even on rather short length scales. We obtain strong evidence that for ${\rm QCD}_3$, even at high temperature the colour averaged potential is represented by the exchange of a single state, at variance with the usual Debye screening picture involving a pair of electric gluons.
Bialas Piotr
Morel André
Petersson Bengt
Petrov Konstantin
Reisz Thomas
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