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

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.

27 pages, improved presentation of results and some references added, as accepted by Nucl. Phys. B

References in corpus (3)

• The spectrum of the three-dimensional adjoint Higgs model and hot SU(2) gauge theory
• Screening Masses in SU(2) Pure Gauge Theory
• High Temperature 3D QCD: Dimensional Reduction at Work

Cited by in corpus (9)

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• Deconfinement in Matrix Models about the Gross--Witten Point
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• A Gauge Theory of Wilson Lines as a Dimensionally Reduced Model of QCD_3
• Three dimensional finite temperature SU(3) gauge theory near the phase transition
• Screening Masses in Dimensionally Reduced (2+1)D Gauge Theory
• Dimensional reduction and a Z(3) symmetric model
• SU(3) gauge theory at finite temperature in 2 + 1 dimensions