Phantom field fluctuation induced Higgs effect

Jul, 2006
9 pages
Published in:
  • Phys.Lett.B 642 (2006) 384-388
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Abstract:
Symmetry breaking solutions are investigated in the NN\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.
  • 12.38.Cy
  • 11.10.Gh
  • 11.10.Wx
  • Higgs mass
  • Phantom field
  • Dyson-Schwinger equations
  • Large N approximation
  • Dyson–Schwinger equations
  • gauge field theory: SU(2)
  • symmetry: O(N)