2016arXiv (Cornell University)Open access

Higgs mechanism without spontaneous symmetry breaking and quark confinement

Keiichi Kondo

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Abstract

We propose a novel description for the Higgs mechanism by which a gauge boson acquires the mass in a manifestly gauge-invariant way. In the Higgs mechanism, we do not assume spontaneous breakdown of gauge symmetry signaled by a non-vanishing vacuum expectation value of the scalar field. The spontaneous symmetry breaking is sufficient but not necessary for the Higgs mechanism to work. This enables us to discuss the confinement-Higgs complementarity from a new perspective.

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What this paper is about

We propose a novel description for the Higgs mechanism by which a gauge boson acquires the mass in a manifestly gauge-invariant way. In the Higgs mechanism, we do not assume spontaneous breakdown of gauge symmetry signaled by a non-vanishing vacuum expectation value of the scalar field. The spontaneous symmetry breaking is sufficient but not necessary for the Higgs mechanism to work. This enables us to discuss the confinement-Higgs complementarity from a new perspective.

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Available abstract

We propose a novel description for the Higgs mechanism by which a gauge boson acquires the mass in a manifestly gauge-invariant way. In the Higgs mechanism, we do not assume spontaneous breakdown of gauge symmetry signaled by a non-vanishing vacuum expectation value of the scalar field. The spontaneous symmetry breaking is sufficient but not necessary for the Higgs mechanism to work. This enables us to discuss the confinement-Higgs complementarity from a new perspective.

Key concepts: Spontaneous symmetry breaking, Higgs mechanism, Physics, Higgs boson, Particle physics, Higgs field, Gauge boson, Explicit symmetry breaking

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