25 May 2017 to 2 June 2017
Mainz Institute for Theoretical Physics, Johannes Gutenberg University
Europe/Berlin timezone

Massive vector bosons: an indication for non-compatibility of the Higgs mechanism with the renormalization group flow

2 Jun 2017, 11:30
45m
02.430 (Mainz Institute for Theoretical Physics, Johannes Gutenberg University)

02.430

Mainz Institute for Theoretical Physics, Johannes Gutenberg University

Staudingerweg 9 / 2nd floor, 55128 Mainz

Speaker

Dr Michael Dütsch (Universität Göttingen)

Description

Part I. The Higgs mechanism is not needed: this is shown by giving a consistent quantization of massive vector bosons without using the Higgs mechanism. Part II. Compatibility of the Higgs mechanism with the RG-flow: the Higgs mechanism implies that the prefactors of the various interaction terms are uniquely determined functions of the coupling constant(s) and masses. We investigate whether these functions are stable under the 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.

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