Phantom field fluctuation induced Higgs effect

TL;DR

This paper explores how phantom field fluctuations can induce symmetry breaking and alter Higgs properties in a large-N scalar field model with O(N) symmetry, revealing non-perturbative effects beyond standard perturbation theory.

Contribution

It demonstrates the possibility of Z_2 symmetry breaking driven by phantom fluctuations and shows how internal dynamics modify Higgs parameters non-perturbatively.

Findings

Z_2 symmetry can be broken by phantom fluctuations.

Internal dynamics affect Higgs condensate and mass ratios.

Non-perturbative solutions differ from perturbative predictions.

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.