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.

MASS TERMS IN CP-CONSERVING WEINBERG THREE-HIGGS-DOUBLET MODEL

2009 ◽  
Vol 18 (08) ◽  
pp. 1781-1784 ◽  
Author(s):  
S. ZARRINKAMAR ◽  
H. HASSANABADI ◽  
A. A. RAJABI
Keyword(s):  
Symmetry Breaking ◽  
Spontaneous Symmetry Breaking ◽  
Higgs Doublet ◽  
Higgs Mechanism ◽  
The Real ◽  
Doublet Model ◽  
Mass Terms ◽  
Higgs Fields

By applying two transformations on the vacuum expectations of the Higgs fields, we show that instead of considering three nonvanishing complex fields, one can easily work with the real parts of two fields while CP conservation is assumed. Using this result, we next obtain the mass terms of CP-conserving Weinberg three-Higgs-doublet model (3HDM) which are essential in study of the spontaneous symmetry breaking and the Higgs mechanism.

scholarly journals GAUGE THEORIES AS A GEOMETRICAL ISSUE OF A KALUZA–KLEIN FRAMEWORK

2005 ◽  
Vol 14 (07) ◽  
pp. 1195-1231 ◽  
Author(s):  
FRANCESCO CIANFRANI ◽  
ANDREA MARROCCO ◽  
GIOVANNI MONTANI
Keyword(s):  
Gauge Theory ◽  
Scalar Field ◽  
Symmetry Breaking ◽  
Gauge Theories ◽  
Dimensional Manifold ◽  
Unification Theory ◽  
Klein Theory ◽  
Electroweak Model ◽  
Quark Generation ◽  
Kaluza Klein

We present a geometrical unification theory in a Kaluza–Klein approach that achieve the geometrization of a generic gauge theory bosonic component. We show how it is possible to derive gauge charge conservation from the invariance of the model under extra-dimensional translations and to geometrize gauge connections for spinors, in order to make possible to introducing matter just through free spinorial fields. Then we present the applications to (i) a pentadimensional manifold V4 ⊗ S1 so reproducing the original Kaluza–Klein theory with some extensions related to the rule of the scalar field contained in the metric and to the introduction of matter through spinors with a phase dependance from the fifth coordinate, (ii) a seven-dimensional manifold V4 ⊗ S1 ⊗ S2, in which we geometrize the electroweak model by introducing two spinors for every leptonic family and quark generation and a scalar field with two components with opposite hypercharge responsible for spontaneous symmetry breaking.

scholarly journals STANDARD MODEL IN AdS SLICE WITH UV-LOCALIZED HIGGS FIELD

2010 ◽  
Vol 25 (18n19) ◽  
pp. 3641-3660
Author(s):  
SERGEY MIRONOV ◽  
MIKHAIL OSIPOV ◽  
SABIR RAMAZANOV
Keyword(s):  
Standard Model ◽  
Symmetry Breaking ◽  
Spontaneous Symmetry Breaking ◽  
Gauge Boson ◽  
Higgs Field ◽  
Mass Generation ◽  
Yukawa Couplings ◽  
Fermion Fields ◽  
Suppression Mechanism ◽  
Neutrino Mass Generation

We discuss five-dimensional Standard Model in a slice of AdS space–time with the Higgs field residing near or on the UV brane. Allowing fermion fields to propagate in the bulk, we obtain the hierarchy of their masses and quark mixings without introducing large or small Yukawa couplings. However, the interaction of fermions with the Higgs and gauge boson KK excitations gives rise to FCNC with no built-in suppression mechanism. This strongly constrains the scale of KK masses. We also discuss neutrino mass generation via KK excitations of the Higgs field. We find that this mechanism is subdominant in the scenarios of spontaneous symmetry breaking we consider.

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