Spontaneous Symmetry Breaking and Higgs' Mechanism in the Nonsymmetric Jordan-Thiry Theory

1986 ◽  
Vol 34 (6) ◽  
pp. 361-396
Author(s):  
M. W. Kalinowski
Keyword(s):  
Symmetry Breaking ◽  
Spontaneous Symmetry Breaking ◽  
Higgs Mechanism

scholarly journals Fermion fields in the (non)symmetric Kaluza–Klein theory

2018 ◽  
Vol 96 (5) ◽  
pp. 529-554 ◽  
Author(s):  
M.W. Kalinowski
Keyword(s):  
Symmetry Breaking ◽  
Spontaneous Symmetry Breaking ◽  
Higher Dimensions ◽  
Higgs Mechanism ◽  
Fermion Fields ◽  
Klein Theory ◽  
Spin Fields ◽  
Mass Terms ◽  
Bosonic Part ◽  
Kaluza Klein

The paper is devoted to the unification of fermions within nonsymmetric Kaluza–Klein theories. We obtain a Lagrangian for fermions in non-Abelian Kaluza–Klein theory and non-Abelian Kaluza–Klein theory with spontaneous symmetry breaking and Higgs’ mechanism. A Lagrangian for fermions for geometrized bosonic part of GSW (Glashow–Salam–Weinberg) model in our approach has been derived. Yukawa-type terms and mass terms coming from higher dimensions have been obtained. In the paper, 1/2-spin fields and 3/2-spin fields are considered.

scholarly journals DIRAC'S OBSERVABLES FOR THE SU(3)×SU(2)×U(1) STANDARD MODEL

1998 ◽  
Vol 13 (27) ◽  
pp. 4605-4690 ◽  
Author(s):  
LUCA LUSANNA ◽  
PAOLO VALTANCOLI
Keyword(s):  
Symmetry Breaking ◽  
Spontaneous Symmetry Breaking ◽  
Hamiltonian Formulation ◽  
Canonical Basis ◽  
Higgs Mechanism ◽  
Strong Interactions ◽  
Self Energy ◽  
Hamiltonian Theory ◽  
Fermion Fields ◽  
Energy Part

The missing complete Hamiltonian treatment of the standard SU(3) × SU(2) × U(1) model with Grassmann-valued fermion fields in the Higgs phase is given. We bypass the complications of the Hamiltonian theory in the Higgs phase, resulting from the spontaneous symmetry breaking with the Higgs mechanism, by studying the Hamiltonian formulation of the Higgs phase for the gauge-equivalent Lagrangian in the unitary gauge. A canonical basis of Dirac's observables is found and the reduced physical Hamiltonian is evaluated. Its self-energy part is nonlocal for the electromagnetic and strong interactions, but local for the weak ones. Therefore, the Fermi four-fermion interaction reappears at the nonperturbative level.

scholarly journals Symmetry breaking via internal geometry

2005 ◽  
Vol 2005 (13) ◽  
pp. 2023-2030 ◽  
Author(s):  
Andrew Talmadge
Keyword(s):  
Symmetry Breaking ◽  
Spontaneous Symmetry Breaking ◽  
Principal Bundle ◽  
Gauge Theories ◽  
Higgs Mechanism ◽  
Internal Space ◽  
Hermitian Metric ◽  
Unitary Transformations ◽  
Vector Valued ◽  
Higgs Scalar

Gauge theories commonly employ complex vector-valued fields to reduce symmetry groups through the Higgs mechanism of spontaneous symmetry breaking. The geometry of the internal spaceVis tacitly assumed to be the metric geometry of some static, nondynamical hermitian metrick. In this paper, we considerG-principal bundle gauge theories, whereGis a subgroup ofU(V,k)(the unitary transformations on the internal vector spaceVwith hermitian metrick) and we consider allowing the hermitian metric on the internal spaceVto become an additional dynamical element of the theory. We find a mechanism for interpreting the Higgs scalar field as a feature of the geometry of the internal space while retaining the successful aspects of the Higgs mechanism and spontaneous symmetry breaking

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