Gauge-invariant description of Higgs phenomenon and quark confinement

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 m...

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Bibliographic Details
Main Author: Kei-Ichi Kondo
Format: Article
Language:English
Published: Elsevier 2016-11-01
Series:Physics Letters B
Online Access:http://www.sciencedirect.com/science/article/pii/S0370269316305202
Description
Summary: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.
ISSN:0370-2693