scholarly journals On the Finite Brst Transformations: the Jacobians and the Standard Model with the Gauge-Invariant Gribov Horizon

2017 ◽  
Vol 59 (11) ◽  
pp. 1921-1929 ◽  
Author(s):  
A. A. Reshetnyak ◽  
P. Yu. Moshin
Keyword(s):  
Standard Model ◽  
Gauge Invariant ◽  
The Standard Model

Anomalies, instantons and axions

2018 ◽  
Author(s):  
Michael Kachelriess
Keyword(s):  
Standard Model ◽  
Path Integral ◽  
Electric Charge ◽  
Gauge Invariant ◽  
Axial Anomaly ◽  
Yang Mills ◽  
Integral Measure ◽  
The Standard Model ◽  
Electroweak Sector

The axial anomaly is derived both from the non-invariance of the path-integral measure under UA(1) transformations and calculations of specific triangle diagrams. It is demonstrated that the anomalous terms are cancelled in the electroweak sector of the standard model, if the electric charge of all fermions adds up to zero. The CP-odd term F̃μν‎Fμν‎ introduced by the axial anomaly is a gauge-invariant renormalisable interaction which is also generated by instanton transitions between Yang–Mills vacua with different winding numbers. The Peceei–Quinn symmetry is discussed as a possible explanation why this term does not contribute to the QCD action.

scholarly journals Gauge-invariant three-boson vertices and their Ward identities in the standard model

1995 ◽  
Vol 52 (4) ◽  
pp. 2355-2378 ◽  
Author(s):  
Joannis Papavassiliou ◽  
Kostas Philippides
Keyword(s):  
Standard Model ◽  
Ward Identities ◽  
Gauge Invariant ◽  
The Standard Model

scholarly journals Pair production processes and flavor in gauge-invariant perturbation theory

2017 ◽  
Vol 32 (38) ◽  
pp. 1750212 ◽  
Author(s):  
Larissa Egger ◽  
Axel Maas ◽  
René Sondenheimer
Keyword(s):  
Perturbation Theory ◽  
Standard Model ◽  
Pair Production ◽  
Bound State ◽  
Gauge Invariant ◽  
Quantum Numbers ◽  
The Standard Model ◽  
Invariant States ◽  
The Impact ◽  
Invariant Perturbation Theory

Gauge-invariant perturbation theory is an extension of ordinary perturbation theory which describes strictly gauge-invariant states in theories with a Brout–Englert–Higgs effect. Such gauge-invariant states are composite operators which have necessarily only global quantum numbers. As a consequence, flavor is exchanged for custodial quantum numbers in the Standard Model, recreating the fermion spectrum in the process. Here, we study the implications of such a description, possibly also for the generation structure of the Standard Model. In particular, this implies that scattering processes are essentially bound-state–bound-state interactions, and require a suitable description. We analyze the implications for the pair-production process [Formula: see text] at a linear collider to leading order. We show how ordinary perturbation theory is recovered as the leading contribution. Using a PDF-type language, we also assess the impact of sub-leading contributions. To lowest order, we find that the result is mainly influenced by how large the contribution of the Higgs at large [Formula: see text] is. This gives an interesting, possibly experimentally testable, scenario for the formal field theory underlying the electroweak sector of the Standard Model.

scholarly journals Decays Z → γγ and Z → gg in the Standard Model Extension

2015 ◽  
Vol 30 (35) ◽  
pp. 1550216 ◽  
Author(s):  
J. Castro-Medina ◽  
H. Novales-Sanchez ◽  
J. J. Toscano ◽  
E. S. Tututi
Keyword(s):  
Standard Model ◽  
Background Field ◽  
Standard Model Extension ◽  
Gauge Invariant ◽  
Spatial Component ◽  
Loop Level ◽  
Model Extension ◽  
The Standard Model ◽  
Decay Widths ◽  
The One

The [Formula: see text] and [Formula: see text] decays are studied in the context of the renormalizable version of the Standard Model Extension. The [Formula: see text]-odd [Formula: see text] bilinear interaction, which involves the constant background field [Formula: see text] and which has been a subject of interest in literature, is considered. It is shown that the [Formula: see text] and [Formula: see text] decays, which are strictly zero in the standard model, can be generated radiatively at the one-loop level. It is found that these decays are gauge invariant and free of ultraviolet divergences, and that the corresponding decay widths only depend on the spatial component of the background field [Formula: see text].

scholarly journals COULOMB'S LAW CORRECTIONS FROM A GAUGE-KINETIC MIXING

2011 ◽  
Vol 26 (05) ◽  
pp. 863-871 ◽  
Author(s):  
PATRICIO GAETE ◽  
IVÁN SCHMIDT
Keyword(s):  
Standard Model ◽  
Coulomb Potential ◽  
Wilson Loop ◽  
Quantum Potential ◽  
Gauge Invariant ◽  
Hidden Sector ◽  
The Standard Model ◽  
Dependent Variables ◽  
Path Dependent ◽  
Coulomb's Law

We study the connection or equivalence between two well-known extensions of the Standard Model, that is, for the coupling between the familiar massless electromagnetism U (1) QED and a hidden-sector U (1)h, and axionic electrodynamics. Our discussion is carried out using the gauge-invariant but path-dependent variables formalism, which is an alternative to the Wilson loop approach. When we compute in this way the static quantum potential for the coupling between the familiar massless electromagnetism U (1) QED and a hidden-sector U (1)h, the result of this calculation is a Yukawa correction to the usual static Coulomb potential. Previously,14, we have shown that axionic electrodynamics has a different structure which is reflected in a confining piece. Therefore, both extensions of the Standard Model are not equivalent. Interestingly, when the above calculation is done inside a superconducting box, the Coulombic piece disappears leading to a screening phase.

Indirect measurements in micro-space with the EM

1995 ◽  
Vol 53 ◽  
pp. 598-599
Author(s):  
Sterling P. Newberry
Keyword(s):  
Electron Microscope ◽  
Standard Model ◽  
Particle Physics ◽  
Information Storage ◽  
Storage Space ◽  
Indirect Measurements ◽  
Storage And Retrieval ◽  
Adequate Information ◽  
Compelling Reason ◽  
The Standard Model

At the 1958 meeting of our society, then known as EMSA, the author introduced the concept of microspace and suggested its use to provide adequate information storage space and the use of electron microscope techniques to provide storage and retrieval access. At this current meeting of MSA, he wishes to suggest an additional use of the power of the electron microscope.The author has been contemplating this new use for some time and would have suggested it in the EMSA fiftieth year commemorative volume, but for page limitations. There is compelling reason to put forth this suggestion today because problems have arisen in the “Standard Model” of particle physics and funds are being greatly reduced just as we need higher energy machines to resolve these problems. Therefore, any techniques which complement or augment what we can accomplish during this austerity period with the machines at hand is worth exploring.

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