Phantom field fluctuation induced Higgs effect
A. Patkos, Zs. Szep
Abstract
Symmetry breaking solutions are investigated in the N ∞ 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 Z2 invariant quartic interaction is considered. The non-perturbatively renormalised solution demonstrates the possibility for Z2 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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