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

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.

1988 ◽  
Vol 2 (3) ◽  
pp. 45-50 ◽  
Author(s):  
Hayne Leland ◽  
Mark Rubinstein

Six months after the market crash of October 1987, we are still sifting through the debris searching for its cause. Two theories of the crash sound plausible -- one based on a market panic and the other based on large trader transactions -- though there is other evidence that is difficult to reconcile. If we are to believe the market panic theory or the Brady Commission's theory that the crash was primarily caused by a few large traders, we must strongly reject the standard model. We need to build models of financial equilibrium which are more sensitive to real life trading mechanisms, which account more realistically for the formation of expectations, and which recognize that, at any one time, there is a limited pool of investors available with the ability to evaluate stocks and take appropriate action in the market.


2020 ◽  
Vol 2020 (3) ◽  
Author(s):  
Junichi Haruna ◽  
Hikaru Kawai

Abstract In the standard model, the weak scale is the only parameter with mass dimensions. This means that the standard model itself cannot explain the origin of the weak scale. On the other hand, from the results of recent accelerator experiments, except for some small corrections, the standard model has increased the possibility of being an effective theory up to the Planck scale. From these facts, it is naturally inferred that the weak scale is determined by some dynamics from the Planck scale. In order to answer this question, we rely on the multiple point criticality principle as a clue and consider the classically conformal $\mathbb{Z}_2\times \mathbb{Z}_2$ invariant two-scalar model as a minimal model in which the weak scale is generated dynamically from the Planck scale. This model contains only two real scalar fields and does not contain any fermions or gauge fields. In this model, due to a Coleman–Weinberg-like mechanism, the one-scalar field spontaneously breaks the $ \mathbb{Z}_2$ symmetry with a vacuum expectation value connected with the cutoff momentum. We investigate this using the one-loop effective potential, renormalization group and large-$N$ limit. We also investigate whether it is possible to reproduce the mass term and vacuum expectation value of the Higgs field by coupling this model with the standard model in the Higgs portal framework. In this case, the one-scalar field that does not break $\mathbb{Z}_2$ can be a candidate for dark matter and have a mass of about several TeV in appropriate parameters. On the other hand, the other scalar field breaks $\mathbb{Z}_2$ and has a mass of several tens of GeV. These results will be verifiable in near-future experiments.


2021 ◽  
Vol 10 (3) ◽  
Author(s):  
Vincenzo Afferrante ◽  
Axel Maas ◽  
René Sondenheimer ◽  
Pascal Törek

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.


clause whereby it was a condition of acceptance that goods would be charged at prices ruling at the date of delivery. The defendant buyers replied on 27 May 1969, giving an order with differences from the sellers’ quotation and with their own terms and conditions, which had no price variation clause. The order had a tear-off acknowledgment for signature and return which accepted the order ‘on the terms and conditions thereon’. On 5 June 1969, the sellers, after acknowledging receipt of the order on 4 June, returned the acknowledgment form duly completed with a covering letter stating that delivery was to be ‘in accordance with our revised quotation of 23 May for delivery in ... March/April 1970’. The machine was ready by about September 1970, but the buyers could not accept delivery until November 1970. The sellers invoked the price increase clause and claimed £2,892 for the increase due to the rise in costs between 27 May 1969 and 1 April 1970, when the machine should have been delivered. Thesiger J gave judgment for the sellers for £2,892 and interest. The buyers appealed. The Court of Appeal unanimously reversed the first instance decision, all three judges feeling that the conclusive act was the sellers’ return of the tear-off acknowledgment slip. However, the reasons given by the judges for arriving at their decision differed. Bridge LJ and Lawton LJ broadly applied the standard model of ‘offer – counter-offer – acceptance’ to this ‘battle of the forms’, although both of them were clearly aware of the difficulties that this would cause. Lord Denning’s approach, not untypically, ranged much more widely. Unlike the other two judges, who can be seen to adopt a broadly ‘last shot’ theory (that is, that the ‘battle’ is won by the person who submits their terms last), Lord Denning was prepared to countenance a number of other possibilities. The following passages serve to indicate these divergences in approach: Butler Machine Tool Co Ltd v Ex-Cell-O Corpn (England) Ltd [1979] 1 WLR 401, CA, p 402

1995 ◽  
pp. 118-124

2019 ◽  
Vol 55 (11) ◽  
Author(s):  
Richard C. Brower ◽  
◽  
Anna Hasenfratz ◽  
Ethan T. Neil ◽  
Simon Catterall ◽  
...  

2016 ◽  
Vol 31 (16) ◽  
pp. 1630015 ◽  
Author(s):  
Robert Delbourgo

Local events are characterized by “where”, “when” and “what”. Just as (bosonic) spacetime forms the backdrop for location and time, (fermionic) property space can serve as the backdrop for the attributes of a system. With such a scenario I shall describe a scheme that is capable of unifying gravitation and the other forces of nature. The generalized metric contains the curvature of spacetime and property separately, with the gauge fields linking the bosonic and fermionic arenas. The super-Ricci scalar can then automatically yield the spacetime Lagrangian of gravitation and the Standard Model (plus a cosmological constant) upon integration over property coordinates.


2005 ◽  
Vol 20 (11) ◽  
pp. 2222-2231 ◽  
Author(s):  
F. CHEN ◽  
U. MOHIDEEN ◽  
P. W. MILONNI

Modern unification theories that seek to unify gravity with the other fundamental forces predict a host of new particles outside the standard model. Many also invoke extra dimensions. Both of these effects lead to deviations from Newtonian gravity. For sub micron distance between two bodies, the Casimir force far exceeds the gravitational force. Thus both understanding and using the Casimir force is very important for checking the relevance of these unification theories. In particular, measurements of the Casimir force has allowed one to set some of the strongest constraints for corresponding distance regions. This paper summarizes the techniques used to measure the Casimir force and some of the limits that follow from them.


2011 ◽  
Vol 2 (1) ◽  
pp. 110-133 ◽  
Author(s):  
Gonçalo Marcelo

This article situates The Course of Recognition in the context of Ricœurian philosophy and contemporary debates on mutual recognition. This article reconstructs the debate between Ricœur and mainstream recognition scholars, as well as with the other figures, such as Boltanski, Thévenot and Hénaff, who had a direct influence in the way Ricœur fleshed out his alternative conception of recognition. By connecting recognition with Ricœur’s notions of ideology and utopia, we are able to uncover a major blind spot in the standard model of recognition,and to undo ideological and reified forms of recognition. Honneth and Ricœur both aim at societies whose members are duly recognized, but they do so in radically different manners. Whereas Honneth’s model must be politicized in order to become relevant to social change, Ricœur evisages social change in a pure ethics of recognition.


2007 ◽  
Vol 22 (06) ◽  
pp. 435-447 ◽  
Author(s):  
WILLIAM A. PONCE ◽  
LUIS A. SÁNCHEZ

We carry out a systematic study of possible extensions of the standard model based on the gauge group SU (3)c⊗ SU (4)L⊗ U (1)X. We consider models with particles having exotic electric charges and also models which do not contain exotic electric charges in the gauge boson sector or in the fermion sector. For the first case an infinite number of models can, in principle, be constructed, while the restriction to non-exotic electric charges only allows for eight different anomaly-free models. Four of them are three-family models in the sense that anomalies cancel by an interplay between the three families, and another two are one-family models where anomalies cancel family by family as in the standard model. The remaining two are two-family models.


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