Solving RG equations with the Lambert W function
High Energy Physics - Theory
2013-04-17 v2 High Energy Physics - Phenomenology
Abstract
It has been known for some time that 2-loop renormalization group (RG) equations of a dimensionless parameter can be solved in a closed form in terms of the Lambert W function. We apply the method to a generic theory with a Gaussian fixed point to construct RG invariant physical parameters such as a coupling constant and a physical squared mass. As a further application, we speculate a possible exact effective potential for the O(N) linear sigma model in four dimensions.
Keywords
Cite
@article{arxiv.1302.6069,
title = {Solving RG equations with the Lambert W function},
author = {H. Sonoda},
journal= {arXiv preprint arXiv:1302.6069},
year = {2013}
}
Comments
14 pages, 4 figures; errors corrected, relevant references added, 3 figures added