The Effective Potential, the Renormalisation Group and Vacuum Stability
High Energy Physics - Phenomenology
2010-10-27 v2 High Energy Physics - Lattice
High Energy Physics - Theory
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.
Cite
@article{arxiv.hep-ph/0702295,
title = {The Effective Potential, the Renormalisation Group and Vacuum Stability},
author = {Martin B. Einhorn and D. R. Timothy Jones},
journal= {arXiv preprint arXiv:hep-ph/0702295},
year = {2010}
}
Comments
23 pages; 5 figures; v2 includes minor changes in text and additional references