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The effective potential, the renormalisation group and vacuum stability

Einhorn, Martin B. and Jones, D. R. Timothy (2007) The effective potential, the renormalisation group and vacuum stability. Journal of High Energy Physics (04). Article Number: 051. ISSN 1029-8479

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Abstract

We review the calculation of the the effective potential with particular emphasis on cases when the tree potential or the renormalisation-group-improved, radiatively corrected potential exhibits non-convex behaviour. We illustrate this in a simple Yukawa model which exhibits a novel kind of dimensional transmutation. We also review briefly earlier work on the Standard Model. We conclude that, despite some recent claims to the contrary, it can be possible to infer reliably that the tree vacuum does not represent the true ground state of the theory.

Item Type:Article
Additional Information:LTH 738; arXiv Number: arXiv:hep-ph/0702295v2. 22 pages. Published: April 16, 2007. Issue: April 2007.
Uncontrolled Keywords:Renormalization Group; Spontaneous Symmetry Breaking; LATTICE PHI-4 THEORY; ONE-COMPONENT MODEL; STANDARD-MODEL; HIGGS MASS; TRIVIALITY BOUNDS; FERMION MASSES; SCALING LAWS; PHASE; LIGHT
Subjects:Q Science > QC Physics
Departments, Research Centres and Related Units:Academic Faculties, Institutes and Research Centres > Faculty of Science > Department of Mathematical Sciences
DOI:10.1088/1126-6708/2007/04/051
Publisher's Statement:Copyright © Institute of Physics and IOP Publishing Limited 2008
Related URLs:
Refereed:No
Status:Published
ID Code:107
Deposited On:10 Oct 2007 16:11
Last Modified:20 May 2011 19:29

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