Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2000-12-15
Nucl.Phys. B603 (2001) 369-388
Physics
High Energy Physics
High Energy Physics - Lattice
27 pages, improved presentation of results and some references added, as accepted by Nucl. Phys. B
Scientific paper
10.1016/S0550-3213(01)00152-3
We present a numerical study of an SU(3) gauged 2D model for adjoint scalar fields, defined by dimensional reduction of pure gauge QCD in (2+1)D at high temperature. In the symmetric phase of its global Z_2 symmetry, two colourless boundstates, even and odd under Z_2, are identified. Their respective contributions (poles) in correlation functions of local composite operators A_n of degree n=2p and 2p+1 in the scalar fields (p=1,2) fulfill factorization. The contributions of two particle states (cuts) are detected. Their size agrees with estimates based on a meanfield-like decomposition of the p=2 operators into polynomials in p=1 operators. No sizable signal in any A_n correlation can be attributed to 1/n times a Debye screening length associated with n elementary fields. These results are quantitatively consistent with the picture of scalar ``matter'' fields confined within colourless boundstates whose residual ``strong'' interactions are very weak.
Bialas Piotr
Morel André
Petersson Bengt
Petrov Konstantin
Reisz Thomas
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