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.
CITATION STYLE
Dütsch, M. (2016). Higgs mechanism and renormalization group flow: Are they compatible? In Quantum Mathematical Physics: A Bridge between Mathematics and Physics (pp. 55–76). Springer International Publishing. https://doi.org/10.1007/978-3-319-26902-3_4
Mendeley helps you to discover research relevant for your work.