Higgs mechanism and renormalization group flow: are they compatible?

Michael Dütsch
January 31, 2015
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 $U(1)$-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.
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%%% contains utf-8, see: http://inspirehep.net/info/faq/general#utf8 %%% add \usepackage[utf8]{inputenc} to your latex preamble @inproceedings{Duetsch:2015txa, author = "Dütsch, Michael", title = "{Higgs mechanism and renormalization group flow: are they compatible?}", booktitle = "{Proceedings, Conference on Quantum Mathematical Physics: A Bridge between Mathematics and Physics: Regensburg, Germany, September 29-October 2, 2014}", year = "2016", pages = "55-76", doi = "10.1007/978-3-319-26902-3_4", eprint = "1502.00099", archivePrefix = "arXiv", primaryClass = "hep-th", SLACcitation = "%%CITATION = ARXIV:1502.00099;%%" }