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Mass from Nothing
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abstract
We study the Abelian Higgs model with multiple scalar fields, but without mass terms. Solving the model non-perturbatively order-by-order in the number of scalar fields, we find that radiative corrections generate masses for the scalar and gauge boson, without spontaneous symmetry breaking. The mass scales are set by the $\Lambda$-parameter of the electroweak running coupling, thereby naturally avoiding the hierarchy problem. No part of our calculation employs a weak-coupling expansion, and we find that the perturbative vacuum is metastable, and hence must decay to the stable non-perturbative vacuum of the theory, which we identify. Although the field content of our Lagrangian is standard, our results predict the existence of two heavy scalar resonances in addition to the Higgs. We believe that these predicted resonances will ultimately allow experimentalists to discriminate between our method and standard solutions of the Higgs model.
Forward citations
Cited by 2 Pith papers
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Fixed points of classical gravity coupled with a Standard-Model-like theory
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Large N vector models in the Hamiltonian framework
A second-quantized Hamiltonian framework recovers known large N vector model results by interpreting the ground state as a Bose-Einstein condensate of species, with O(N) invariant excitations being bilocal.
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