The Nontrivial Vacuum Structure of an Extended tt BEH (Higgs) Bound State

Abstract

In a recent reformulation of top-quark condensation for the Brout-Englert-Higgs boson we introduced an extended internal wave-function, φ(r). We show how this leads to a manifestly Lorentz invariant formalism, where the absence of ``relative time'' is a gauge invariance of the bilocal field theory. This dictates a novel and nontrivial Lorentz invariant vacuum structure for the BEH boson, the relativistic generalization of a condensed matter state analogous to a BCS condensate.

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