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  Renormalization group and effective potential in classically conformal theories

Meissner, K. A., & Nicolai, H. (2009). Renormalization group and effective potential in classically conformal theories. Acta Physica Polonica, 40, 2737-2752.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-4590-1 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-4591-0
Genre: Journal Article

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 Creators:
Meissner, Krzysztof A., Author
Nicolai, Hermann1, Author              
Affiliations:
1Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24014              

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 Abstract: 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.

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 Dates: 2009
 Publication Status: Published in print
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 Identifiers: eDoc: 374103
Other: arXiv:0809.1338v1
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Title: Acta Physica Polonica
Source Genre: Journal
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Pages: - Volume / Issue: 40 Sequence Number: - Start / End Page: 2737 - 2752 Identifier: -