Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2008-09-08
Acta Phys.Polon.B40:2737-2752,2009
Physics
High Energy Physics
High Energy Physics - Theory
17 pages, 2 figures, formulas corrected, references added
Scientific paper
We derive a general formula for the RG improved effective (Coleman-Weinberg) potential for classically conformal models, applying it to several examples of physical interest, and in particular a model of QCD coupled via quarks to a colorless scalar field. The closed form expressions allow us to discuss the range of validity of the effective potential as well as the issue of `large logarithms' in a way different from previous such analyses. Remarkably, in all examples considered, convexity of the effective potential is restored by the RG improvement, or otherwise the potential becomes unstable. In the former case, symmetry breaking becomes unavoidable due to the appearance of an infrared barrier $\Lambda_{IR}$, which hints at a so far unsuspected link between $\Lambda_{QCD}$ and the scale of electroweak symmetry breaking.
Meissner Krzysztof A.
Nicolai Hermann
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