Variational technique for gauge boson masses

2020/06/30 by Benjamin Koch, Cristobal Laporte, C. Laporte
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Cosmology and Gravitation Theories #Function (biology) #Gauge boson #Gauge symmetry #Gauge theory #Geometry #Gravitation #Hierarchy problem #Higgs boson #Higgs field #Mathematics #Particle physics #Particle physics theoretical and experimental studies #Physics #Quadratic equation #Spontaneous symmetry breaking #Symmetry (geometry) #Symmetry breaking #Theoretical physics #Vacuum expectation value #gr-qc #hep-ph #hep-th

paper · pdf · doi:10.1103/physrevd.103.045011

published as Phys. Rev. D 103, 045011 (2021) · 20 pages, 3 figures, Accepted for publication in PRD

openalex created_date 2020/06/25 · arxiv created 2021/01/29 · openalex publication_date 2021/02/15 · arxiv updated 2021/02/24 · openalex updated_date 2026/08/05

Abstract

In this work, a novel mechanism for spontaneous symmetry breaking is presented. This mechanism incorporates gravity in the generation of masses for gauge fields, showing that the Higgs mechanism can take place even without a quartic self-interaction at the fundamental level. Using the scale-dependent effective action \mathrm\ensuremathΓ_k minimally coupled to a gravitational sector, a variational parameter setting is applied. This provides a mass and vacuum expectation value as a function of the constants arising in the low-scale expansion of Newton and cosmological couplings. A comparison with experimental data, such as the Higgs mass, allows putting restrictions on these constants. This generic approach can be compared with explicit candidates for an effective field theory of gravity. As an example, we use the asymptotic safety scenario, where we find restrictions on the matter content of the theory.

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