scholarly journals A U(2)×U(3) gauge theory extension of the standard model

2019 ◽  
Vol 141 ◽  
pp. 45-64
Author(s):  
Rafael Herrera ◽  
Alexander Quintero Vélez
Keyword(s):  
Gauge Theory ◽  
Standard Model ◽  
The Standard Model ◽  
Theory Extension

scholarly journals Testing the mechanism of lepton compositeness

2021 ◽  
Vol 10 (3) ◽  
Author(s):  
Vincenzo Afferrante ◽  
Axel Maas ◽  
René Sondenheimer ◽  
Pascal Törek
Keyword(s):  
Gauge Theory ◽  
Standard Model ◽  
Gauge Invariance ◽  
Bound States ◽  
Lattice Gauge Theory ◽  
Higgs Field ◽  
Left Handed ◽  
Lattice Gauge ◽  
The Standard Model ◽  
Weyl Fermions

Strict gauge invariance requires that physical left-handed leptons are actually bound states of the elementary left-handed lepton doublet and the Higgs field within the standard model. That they nonetheless behave almost like pure elementary particles is explained by the Fr"ohlich-Morchio-Strocchi mechanism. Using lattice gauge theory, we test and confirm this mechanism for fermions. Though, due to the current inaccessibility of non-Abelian gauged Weyl fermions on the lattice, a model which contains vectorial leptons but which obeys all other relevant symmetries has been simulated.

scholarly journals Lattice gauge theory for physics beyond the Standard Model

2019 ◽  
Vol 55 (11) ◽  
Author(s):  
Richard C. Brower ◽  
◽  
Anna Hasenfratz ◽  
Ethan T. Neil ◽  
Simon Catterall ◽  
...  
Keyword(s):  
Gauge Theory ◽  
Standard Model ◽  
Lattice Gauge Theory ◽  
Beyond The Standard Model ◽  
Lattice Gauge ◽  
The Standard Model

scholarly journals A FIELD-THEORETIC APPROACH TO CONNES' GAUGE THEORY ON M4 × Z2

2001 ◽  
Vol 16 (19) ◽  
pp. 3203-3216 ◽  
Author(s):  
HIROMI KASE ◽  
KATSUSADA MORITA ◽  
YOSHITAKA OKUMURA
Keyword(s):  
Differential Geometry ◽  
Gauge Theory ◽  
Standard Model ◽  
Field Strength ◽  
Electric Charge ◽  
Theoretic Approach ◽  
Higgs Potential ◽  
Charge Quantization ◽  
Generation Number ◽  
The Standard Model

Connes' gauge theory on M4 × Z2 is reformulated in the Lagrangian level. It is pointed out that the field strength in Connes' gauge theory is not unique. We explicitly construct a field strength different from Connes' and prove that our definition leads to the generation-number independent Higgs potential. It is also shown that the nonuniqueness is related to the assumption that two different extensions of the differential geometry are possible when the extra one-form basis χ is introduced to define the differential geometry on M4 × Z2. Our reformulation is applied to the standard model based on Connes' color-flavor algebra. A connection between the unimodularity condition and the electric charge quantization is then discussed in the presence or absence of νR.

scholarly journals GAUGE THEORY AND MORE — ANOTHER SOLUTION FOR THE DARK MATTER

2009 ◽  
Vol 24 (18n19) ◽  
pp. 3366-3371 ◽  
Author(s):  
W-Y. PAUCHY HWANG
Keyword(s):  
Dark Matter ◽  
Gauge Theory ◽  
Standard Model ◽  
Higgs Mechanism ◽  
Gauge Bosons ◽  
Basic Family ◽  
Visible Matter ◽  
The Family ◽  
The Standard Model ◽  
The Masses

These days we learn that, in our Universe, the dark matter occupies about 25% of the content, compared to only 5% of the "visible" ordinary matter. We propose that the description of the dark matter would be an extension of the Standard Model - a gauge theory. We all know that in the Standard Model we have three generations but still don't know why - the so-called "family problem". On other hand, in view of the masses and oscillations, the neutrinos now present some basic difficulty in the Standard Model. In this note, I propose that on top of the SUc(3)×, SU(2) × U(1) standard model there is an SUf(3) extension - a simple SUc(3) × SU(2) × U(1) × SUf(3) extended standard model. The family gauge bosons (familons) are massive through the so-called "colored" Higgs mechanism while the remaining Higgs particles are also massive. The three neutrinos, the electron-like, muon-like, and tao-like neutrinos, form the basic family triplets. Hopefully all the couplings to the "visible" matter are through the neutrinos, explaining why the dark matter is more than the visible matter in our Universe.

scholarly journals GAUGE THEORY ON A SPACE WITH LINEAR LIE TYPE FUZZINESS

2013 ◽  
Vol 28 (08) ◽  
pp. 1350021 ◽  
Author(s):  
MOHAMMAD KHORRAMI ◽  
AMIR H. FATOLLAHI ◽  
AHMAD SHARIATI
Keyword(s):  
Gauge Theory ◽  
Standard Model ◽  
Field Strength ◽  
Gauge Field ◽  
Field Component ◽  
Lattice Gauge Theory ◽  
Fourier Space ◽  
Lattice Gauge ◽  
The Standard Model

The U(1) gauge theory on a space with Lie type noncommutativity is constructed. The construction is based on the group of translations in Fourier space, which in contrast to space itself is commutative. In analogy with lattice gauge theory, the object playing the role of flux of field strength per plaquette, as well as the action, is constructed. It is observed that the theory, in comparison with ordinary U(1) gauge theory, has an extra gauge field component. This phenomena is reminiscent of similar ones in formulation of SU (N) gauge theory in space with canonical noncommutativity, and also appearance of gauge field component in discrete direction of Connes' construction of the Standard Model.

scholarly journals SOME ASPECTS OF PION PHYSICS IN A DYNAMICALLY BROKEN ABELIAN GAUGE THEORY

1994 ◽  
Vol 09 (33) ◽  
pp. 3053-3062 ◽  
Author(s):  
B. MACHET
Keyword(s):  
Gauge Theory ◽  
Standard Model ◽  
Axial Current ◽  
Chiral Anomaly ◽  
Gauge Fields ◽  
Abelian Gauge ◽  
Abelian Gauge Theory ◽  
The Standard Model ◽  
Abelian Case ◽  
The Subject

We show how an Abelian spontaneously broken gauge theory of fermions endowed with a composite scalar multiplet becomes naturally anomaly-free, and yet correctly describes the couplings of a neutral isoscalar pion to two gauge fields and to leptons: the first coupling is the same as that computed from the chiral anomaly, and the second is identical with that obtained from the 'Partially Conserved Axial Current' hypothesis. The general (non-Abelian) case of the standard model is only mentioned and will be the subject of another work.

A THEORY OF QUARKS AND LEPTONS

1990 ◽  
Vol 05 (17) ◽  
pp. 1345-1357 ◽  
Author(s):  
R. FOOT ◽  
H. LEW
Keyword(s):  
Gauge Theory ◽  
Standard Model ◽  
Symmetry Breaking ◽  
Discrete Symmetries ◽  
Particle Content ◽  
New Approach ◽  
Heavy Mesons ◽  
Classical Symmetries ◽  
Fermion Fields ◽  
The Standard Model

The gauge theory with gauge group [SU(3)]2 ⊗ [SU(2)]2 ⊗ [U(1)Y′]3 supplemented by quark-lepton, left-right, and generation discrete symmetries represents a new approach to the understanding of the particle content of the standard model. All of the fermion fields of the model are interconnected by the discrete symmetries. The classical symmetries and the symmetry breaking content of the model explain the electric charges of all of the observed particles. The theory also predicts the existence of new heavy mesons. Some implications of this theory are discussed.

scholarly journals ANALYSIS OF SU(3)c⊗SU(3)L ⊗U(1)X LOCAL GAUGE THEORY

2002 ◽  
Vol 17 (05) ◽  
pp. 643-659 ◽  
Author(s):  
WILLIAM A. PONCE ◽  
JUÁN B. FLÓREZ ◽  
LUIS A. SÁNCHEZ
Keyword(s):  
Gauge Theory ◽  
Standard Model ◽  
The Other ◽  
Local Gauge ◽  
The Standard Model ◽  
Family Models

Six different models, straightforward extensions of the standard model to of SU (3)c ⊗ SU (3)L ⊗ U (1)X, which do not contain particles with exotic electric charges are presented. Two of the models are one family and four are three family models. In two of the three family models one of the families transforms different from the others, and in the other two all the three families are different.

scholarly journals The underlying geometry of the CAM gauge model of the Standard Model of particle physics

2020 ◽  
Vol 35 (07) ◽  
pp. 2050037
Author(s):  
Brian Jonathan Wolk
Keyword(s):  
Gauge Theory ◽  
Standard Model ◽  
Particle Physics ◽  
Clifford Algebras ◽  
Weak Interactions ◽  
Composition Algebra ◽  
Dirac Spinor ◽  
Yang Mills ◽  
Local Gauge Symmetry ◽  
The Standard Model

The Composition Algebra-based Methodology (CAM) [B. Wolk, Pap. Phys. 9, 090002 (2017); Phys. Scr. 94, 025301 (2019); Adv. Appl. Clifford Algebras 27, 3225 (2017); J. Appl. Math. Phys. 6, 1537 (2018); Phys. Scr. 94, 105301 (2019), Adv. Appl. Clifford Algebras 30, 4 (2020)], which provides a new model for generating the interactions of the Standard Model, is geometrically modeled for the electromagnetic and weak interactions on the parallelizable sphere operator fiber bundle [Formula: see text] consisting of base space, the tangent bundle [Formula: see text] of space–time [Formula: see text], projection operator [Formula: see text], the parallelizable spheres [Formula: see text] conceived as operator fibers [Formula: see text] attaching to and operating on [Formula: see text] [Formula: see text] as [Formula: see text] varies over [Formula: see text], and as structure group, the norm-preserving symmetry group [Formula: see text] for each of the division algebras which is simultaneously the isometry group of the associated unit sphere. The massless electroweak [Formula: see text] Lagrangian is shown to arise from [Formula: see text]’s generation of a local coupling operation on sections of Dirac spinor and Clifford algebra bundles over [Formula: see text]. Importantly, CAM is shown to be a new genre of gauge theory which subsumes Yang–Mills Standard Model gauge theory. Local gauge symmetry is shown to be at its core a geometric phenomenon inherent to CAM gauge theory. Lastly, the higher-dimensional, topological architecture which generates CAM from within a unified eleven [Formula: see text]-dimensional geometro-topological structure is introduced.

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