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.

NEW PHYSICS FROM ELECTRIC CHARGE QUANTIZATION?

1991 ◽  
Vol 06 (07) ◽  
pp. 527-529 ◽  
Author(s):  
ROBERT FOOT
Keyword(s):  
Standard Model ◽  
Electric Charge ◽  
New Physics ◽  
Charge Quantization ◽  
The Standard Model

Electric charge quantization is re-examined in the standard model.

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.

CHARGE QUANTIZATION IN THE STANDARD MODEL AND SOME OF ITS EXTENSIONS

1990 ◽  
Vol 05 (32) ◽  
pp. 2721-2731 ◽  
Author(s):  
R. FOOT ◽  
G. C. JOSHI ◽  
H. LEW ◽  
R. R. VOLKAS
Keyword(s):  
Standard Model ◽  
Electric Charge ◽  
Gravitational Anomaly ◽  
Anomaly Cancellation ◽  
Theoretical Understanding ◽  
Electromagnetic Interactions ◽  
Charge Quantization ◽  
Recent Advances ◽  
The Standard Model ◽  
Points Of View

We review recent advances in the theoretical understanding of electric charge quantization in the Standard Model and some of its extensions. We discuss the roles played by classical constraints, gauge and mixed gauge-gravitational anomaly-cancellation and the demand of vector-like electromagnetic interactions. An attempt is made to clearly explain and contrast the points of view of various authors.

ELECTRIC CHARGE QUANTIZATION AND VECTOR-LIKE FERMIONS

1990 ◽  
Vol 05 (24) ◽  
pp. 1947-1949 ◽  
Author(s):  
ROBERT FOOT
Keyword(s):  
Standard Model ◽  
Electric Charge ◽  
Life Time ◽  
New Physics ◽  
Beyond The Standard Model ◽  
Simple Method ◽  
Gauge Models ◽  
Flavor Changing ◽  
Charge Quantization ◽  
The Standard Model

In extended gauge models with gauge group G, electric charge quantization is not always an automatic consequence of the consistency of the theory. Exotic fermions which have SU (3) ⊗ SU (2) L ⊗ U (1) invariant mass terms can provide a simple method for preserving the charge quantization feature of the standard model. This procedure is applied to the segregated isospin model.This approach indicates that precision measurements of the τ-lepton life-time and rare flavor-changing neutral processes may provide the first indications of new physics beyond the standard model.

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 ELECTROWEAK QUARK–LEPTON SYMMETRY AND WEAK TOPOLOGICAL-CHARGE CONFINEMENT IN THE STANDARD MODEL WITH DIRAC NEUTRINOS

2007 ◽  
Vol 22 (21) ◽  
pp. 3669-3691 ◽  
Author(s):  
ERNESTO A. MATUTE
Keyword(s):  
Standard Model ◽  
Topological Charge ◽  
Additive Group ◽  
Weak Field ◽  
Anomaly Cancellation ◽  
Charge Quantization ◽  
Lepton Charge ◽  
The Standard Model ◽  
The One ◽  
Electroweak Model

The standard electroweak model with Dirac neutrinos is extended by way of the principles of electroweak quark–lepton symmetry and weak topological-charge confinement to account for quark–lepton charge relations which, if not accidental, are indicative of charge structures. A mixing in quarks and leptons of underlying integer local charges with integer weak topological charges associated with an additive group Z3, fixed by the anomaly cancellation requirement, is discussed. It is found that the electroweak difference between topological quarks and leptons is the nonequivalence between the topological vacua of their weak field configurations, produced by a four-instanton which carries the topological charge, induces the universal fractional piece of charge distinguishing quarks from leptons, and breaks the underlying symmetry. The constituent quarks of the standard model appear as coming from topological quarks, via the weak four-instanton event. Dual transitions occur for leptons. It is shown that several other fundamental problems left open in the standard electroweak model with Dirac neutrinos are solved: the one-to-one correspondence between quark and lepton flavors, the existence of three generations, the conservation and ungauging of B-L, the electric charge quantization, and the confinement of fractional electric charges.

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