Gauge-invariant description of Higgs phenomenon and quark confinement

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.

7 pages, no figures, final version to be published in Physics Letters B, Title changed

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Cited by in corpus (15)

• Brout-Englert-Higgs physics: From foundations to phenomenology
• Non-perturbative aspects of Euclidean Yang-Mills theories in linear covariant gauges: Nielsen identities and a BRST invariant two-point correlation function
• Complex poles and spectral function of Yang-Mills theory
• Analytical relations for the bound state spectrum of gauge theories with a Brout-Englert-Higgs mechanism
• Reflection positivity and complex analysis of the Yang-Mills theory from a viewpoint of gluon confinement
• Gauge-independent Brout-Englert-Higgs mechanism and Yang-Mills theory with a gauge-invariant gluon mass term
• Confinement, Holonomy and Correlated Instanton-Dyon Ensemble I: SU(2) Yang-Mills Theory
• Magnetic monopoles in pure $SU(2)$ Yang--Mills theory with a gauge-invariant mass
• Gauge-independent Higgs mechanism and the implications for quark confinement
• Gauge-independent transition separating confinement and Higgs phases in lattice SU(2) gauge theory with a scalar field in the fundamental representation
• Color confinement and restoration of residual local gauge symmetries
• Complex poles, spectral function and reflection positivity violation of Yang-Mills theory
• Mass-deformed Yang-Mills theory in the covariant gauge and its gauge-invariant extension through the gauge-independent BEH mechanism
• Dyon in the $SU(2)$ Yang--Mills theory with a gauge-invariant gluon mass toward quark confinement
• Quark confinement in the Yang-Mills theory with a gauge-invariant gluon mass in view of the gauge-invariant BEH mechanism