Higgs mechanism and renormalization group flow: are they compatible?
Abstract
Usually the Lagrangian of a model for massive vector bosons is derived in a geometric way by the Higgs mechanism. We investigate whether this geometric structure is maintained under the renormalization group (RG) flow. Using the framework of Epstein-Glaser renormalization, we find that the answer is 'no', if the renormalization mass scale(s) are chosen in a way corresponding to the minimal subtraction scheme. This result is derived for the -Higgs model to 1-loop order. On the other hand we give a model-independent proof that physical consistency, which is a weak form of BRST-invariance of the time-ordered products, is stable under the RG-flow.
Cite
@article{arxiv.1502.00099,
title = {Higgs mechanism and renormalization group flow: are they compatible?},
author = {Michael Duetsch},
journal= {arXiv preprint arXiv:1502.00099},
year = {2015}
}
Comments
19 pages. Contribution to the proceedings of the conference 'Quantum Mathematical Physics', Regensburg, 29.09.-02.10.2014. Version 2: a few minor improvements