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Article Dans Une Revue Nuclear Physics B Année : 2001

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

P. Bialas
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A. Morel
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B. Petersson
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K. Petrov
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T. Reisz
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Résumé

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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Dates et versions

hal-00166267 , version 1 (02-08-2007)

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  • HAL Id : hal-00166267 , version 1

Citer

P. Bialas, A. Morel, B. Petersson, K. Petrov, T. Reisz. QCD with Adjoint Scalars in 2D: Properties in the Colourless Scalar Sector. Nuclear Physics B, 2001, 603, pp.369-388. ⟨hal-00166267⟩
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