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QCD with Adjoint Scalars in 2D: Properties in the Colourless Scalar Sector

P. Bialas·A. Morel·B. Petersson·K. Petrov·T. Reisz
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Abstract

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.

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P. Bialas, A. Morel, B. Petersson, K. Petrov, T. Reisz. 2001-03-23. QCD with Adjoint Scalars in 2D: Properties in the Colourless Scalar Sector. https://doi.org/10.1016/s0550-3213(01)00152-3

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