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Higgs Mechanism and Renormalization Group Flow: Are They Compatible?

In: Quantum Mathematical Physics

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  • Michael Dütsch

    (Universität Göttingen, Institut für Theoretische Physik)

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 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.

Suggested Citation

  • Michael Dütsch, 2016. "Higgs Mechanism and Renormalization Group Flow: Are They Compatible?," Springer Books, in: Felix Finster & Johannes Kleiner & Christian Röken & Jürgen Tolksdorf (ed.), Quantum Mathematical Physics, edition 1, pages 55-76, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-26902-3_4
    DOI: 10.1007/978-3-319-26902-3_4
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