Phantom field fluctuation induced Higgs effect

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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9 pages, uses elsart.cls, version to appear in Phys. Lett. B

Scientific paper

10.1016/j.physletb.2006.09.058

Symmetry breaking solutions are investigated in the $N\to \infty$ limit for the ground state of a system consisting of a Lorentz-scalar, N component ``phantom'' field and an O(N) singlet. The most general form of O(N) x Z_2 invariant quartic interaction is considered. The non-perturbatively renormalised solution demonstrates the possibility for Z_2 symmetry breaking induced by phantom fluctuations. It becomes also evident that the strength of the ``internal'' dynamics of the N-component field tunes away the ratio of the Higgs condensate and the Higgs mass from its perturbative (nearly tree-level) expression.

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