Higgs Mechanism and Renormalization Group Flow: Are They Compatible?

Michael Dütsch ()
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Michael Dütsch: Universität Göttingen, Institut für Theoretische Physik

A chapter in Quantum Mathematical Physics, 2016, pp 55-76 from Springer

Abstract: 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.

Keywords: Perturbative quantum gauge theories; Epstein-Glaser renormalization; Higgs mechanism; Renormalization group flow (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-26902-3_4

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DOI: 10.1007/978-3-319-26902-3_4

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