scholarly journals Manifestly Covariant Canonical Formulation of Yang-Mills Field Theories. II: SU(2) Higgs-Kibble Model with Spontaneous Symmetry Breaking

1979 ◽  
Vol 61 (1) ◽  
pp. 294-314 ◽  
Author(s):  
T. Kugo ◽  
I. Ojima
Keyword(s):  
Symmetry Breaking ◽  
Spontaneous Symmetry Breaking ◽  
Field Theories ◽  
Yang Mills ◽  
Canonical Formulation ◽  
Mills Field

scholarly journals Abelian-Higgs model from Cho–Faddeev–Niemi decomposition

2014 ◽  
Vol 29 (08) ◽  
pp. 1450047 ◽  
Author(s):  
A. Mohamadnejad ◽  
S. Deldar
Keyword(s):  
Symmetry Breaking ◽  
Spontaneous Symmetry Breaking ◽  
Magnetic Monopoles ◽  
Higgs Model ◽  
Abelian Higgs Model ◽  
Yang Mills ◽  
Vortex Solutions ◽  
Mills Field

Applying Cho–Faddeev–Niemi decomposition for SU(2) Yang–Mills field, we obtain the Abelian–Higgs Lagrangian by some approximation. Abelian–Higgs Lagrangian with a spontaneous symmetry breaking potential has vortex solutions known as Nielsen–Olesen solutions. We conclude that vortices as well as magnetic monopoles can exist in Cho–Faddeev–Niemi decomposition of SU(2) Yang–Mills field.

scholarly journals Higgs fields induced by Yang–Mills type Lagrangians on gauge-natural prolongations of principal bundles

2019 ◽  
Vol 16 (03) ◽  
pp. 1950049
Author(s):  
Marcella Palese ◽  
Ekkehart Winterroth
Keyword(s):  
Symmetry Breaking ◽  
Spontaneous Symmetry Breaking ◽  
Higgs Field ◽  
Field Theories ◽  
Conserved Quantities ◽  
Principal Bundles ◽  
Yang Mills ◽  
Covariant Gauge ◽  
Higgs Fields ◽  
Natural Bundle

We address some new issues concerning spontaneous symmetry breaking. We define classical Higgs fields for gauge-natural invariant Yang–Mills type Lagrangian field theories through the requirement of the existence of canonical covariant gauge-natural conserved quantities. As an illustrative example, we consider the ‘gluon Lagrangian’, i.e. a Yang–Mills Lagrangian on the [Formula: see text]-order gauge-natural bundle of [Formula: see text]-principal connections, and canonically define a ‘gluon’ classical Higgs field through the split reductive structure induced by the kernel of the associated gauge-natural Jacobi morphism.

scholarly journals Spontaneous symmetry breaking and the Goldstone theorem in non-Hermitian field theories

2018 ◽  
Vol 98 (4) ◽  
Author(s):  
Jean Alexandre ◽  
John Ellis ◽  
Peter Millington ◽  
Dries Seynaeve
Keyword(s):  
Symmetry Breaking ◽  
Spontaneous Symmetry Breaking ◽  
Field Theories ◽  
Goldstone Theorem
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