QCD Confinement: Wilson Loops & Quantum Fluctuations

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Which is the connection between the perimeter law for Wilson loops and quantum fluctuations of matter fields (presenting in the QCD Lagrangian); and why quantum fluctuations of gauge (Yang-Mills, gluonic) fields infolve the area law for appropriate Wilson loops? Senk You. Leonid.
 
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Garmonic potential

Can the "garmonic" ("squared") potential V\sim r^2 supply the correct infrared behaviour necessary for confinement (i.e. the q^(-\alpha), \alpha>0 as q\to 0 in the momentum space)?
Leonid.
 
QCD, FP ghosts

Why (Faddeev-Popov) ghosts are absent in the axial gauge A_3=0?
Sincerelly, Leonid.
 
because ghost does not couple to gauge field in axial gauge
 
vertices in the path integral formalism

The origin of the ln det G item (where G(\phi) is the Green function in the \lambda \phi^4 model, for instance)?
Sincerelly, Leonid.
 

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