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          Institute: MPI für Gravitationsphysik     Collection: Quantum Gravity and Unified Theories     Display Documents



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ID: 374103.0, MPI für Gravitationsphysik / Quantum Gravity and Unified Theories
Renormalization group and effective potential in classically conformal theories
Authors:Meissner, Krzysztof A.; Nicolai, Hermann
Date of Publication (YYYY-MM-DD):2009
Title of Journal:Acta Physica Polonica
Volume:40
Start Page:2737
End Page:2752
Review Status:not specified
Audience:Not Specified
Abstract / Description:For a classically conformal model of QCD coupled via quarks to a colorless scalar field we present an exact solution of the RG improved effective (Coleman-Weinberg) potential at one loop. This closed form expression allows 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, which hints at a so far unsuspected link between $\Lambda_{QCD}$ and the scale of electroweak symmetry breaking.
External Publication Status:published
Document Type:Article
Communicated by:Hermann Nicolai
Affiliations:MPI für Gravitationsphysik/Quantum Gravity and Unified Theories
Identifiers:LOCALID:arXiv:0809.1338v1
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