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arXiv · 1606.06194

Gauge-invariant description of Higgs phenomenon and quark confinement

Kei-Ichi Kondo
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Abstract

We propose a novel description for the Higgs mechanism by which a gauge boson acquires the mass. We do not assume spontaneous breakdown of gauge symmetry signaled by a non-vanishing vacuum expectation value of the scalar field. In fact, we give a manifestly gauge-invariant description of the Higgs mechanism in the operator level, which does not rely on spontaneous symmetry breaking. This enables us to discuss the confinement-Higgs complementarity from a new perspective. The "Abelian" dominance in quark confinement of the Yang-Mills theory is understood as a consequence of the gauge-invariant Higgs phenomenon for the relevant Yang-Mills-Higgs model.

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Kei-Ichi Kondo. 2016-09-21. Gauge-invariant description of Higgs phenomenon and quark confinement. https://doi.org/10.1016/j.physletb.2016.09.026

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