Phantom field fluctuation induced Higgs effect

Abstract

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.

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

References in corpus (1)

• The minimal non-minimal standard model

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• Renormalization of 2PI resummation: a renormalization scheme approach
• Phase structure and phase transitions of the SU(2) x O(N) symmetric scalar field theory