On the global solutions of the Higgs boson equation

Details On the global solutions of the Higgs boson equation On the global solutions of the Higgs boson equation

2010-09-16

arxiv.org/abs/1009.3076v2

Mathematics

Analysis of PDEs

Scientific paper

In this article we study global in time (not necessarily small) solutions of the equation for the Higgs boson in the Minkowski and in the de Sitter spacetimes. We reveal some qualitative behavior of the global solutions. In particular, we formulate sufficient conditions for the existence of the zeros of global solutions in the interior of their supports, and, consequently, for the creation of the so-called bubbles, which have been studied in particle physics and inflationary cosmology. We also give some sufficient conditions for the global solution to be an oscillatory in time solution.

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