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PS - there is no Higgs mechanism here in the usual sense. The eight vacuum condensate Goldstone phases that represent macro-quantum coherent Glauber states of virtual (off-shell) massless spin zero bosons are singular multi-valued Cartan 0-forms whose exterior derivatives are the still massless spin 1 strong force vector gluons. Because the 0-forms are singular multivalued the massless spin 1 vector gluon 1-forms are not closed and have non-vanishing 2-form exterior derivatives. Details are shown in Hagen Kleinert’s book.

In the usual Higgs mechanism, we are given a-priori a spin 1 massless local gauge potentials A^a with a set of macro-quantum coherent vacuum state order parameters that are Glauber states of off-mass-shell spin 0 Goldstone bosons. The Goldstone bosons are “eaten” by the gauge potentials. In other words, the massless Goldstone bosons become the longitudinal polarization states of the now massive spin 1 vector field. This is a non-Abelian Meissner effect in the vacuum leading to stringy flux tubes of the massive spin 1 vector field analogous to quantized magnetic flux vortices in superconductors.

However, in the present self-referential case, the spin 1 vector field is not different in nature from the spin 0 Goldstone phases - they are the same field unlike the usual U1xSU2 Higgs mechanism for the W-bosons.

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