Related papers: The '3-1' model: the minimal model of calculable d…
The gauge symmetry breaking in some versions of 3-3-1 models can be implemented dynamically because at the scale of a few TeVs the $U(1)_X$ coupling constant becomes strong. In this work we consider the dynamical symmetry breaking in a…
The paper is withdrawn by the author due to a recently discovered flaw in a basic proof.
We study several models of relevance for the dynamical breaking of supersymmetry which could provide a scalar component with equation of state $p=w\rho$, $-1<w<0$. Such models would provide a natural explanation for recent data on the…
We show that due to the \rho parameter bound and the Landau pole limit, the reduced 3-3-1 model is unrealistic, while due to the \rho parameter and FCNCs bounds, the simple 3-3-1 model is experimentally unfavored. All such conditions…
The 3-2 model of dynamical supersymmetry breaking is revisited, with some incidentally new observations on the vacuum structure. Extra matter is then added, and the vacuum structure is further studied. The parametric dependence of the…
A detailed study of the criteria for stability of the scalar potential and the proper electroweak symmetry breaking pattern in the economical 3-3-1 model, is presented. For the analysis we use, and improve, a method previously developed to…
This paper has been withdrawn by the authors, because the authors have second thought that the new ideas in this paper are better to be contained in another paper.
Relatively simple models can be constructed in which supersymmetry is dynamically broken at energies of $10^5-10^7$ GeV. Models of this kind do not suffer from the naturalness and cosmological difficulties of conventional supergravity…
This paper has been withdrawn by the author due to a crucial error in the proof of Theorem 1.
The paper was withdrawn due to a gap in the proof of Lemma 3.
This paper has been withdrawn by the authors due to need of essential revision.
We show that in SU(3)_C X SU(3)_L X U(1)_N (3-3-1) models embedded with a singlet scalar playing the role of the axion, after imposing scale invariance, dynamical symmetry breaking of Peccei-Quinn symmetry occurs through the one-loop…
This paper has been withdrawn by the author due to incomplete interpretation for the results.
This paper has been withdrawn due a crucial mistake due to a crucial mistake in the proof of Lemma 2.3.
We study the five dimensional SU(3)_c \times SU(3)_L \times U(1)_X gauge theory (3-3-1 Model) in which the gauge symmetry is broken down through orbifold compactification to four dimensions. The new model has several distinguishing features…
The gauge symmetry breaking in 3-3-1 models can be implemented dynamically because at the scale of a few TeVs the U(1)_X coupling constant becomes strong. The exotic quark T introduced in the model will form a condensate breaking SU(3)_L x…
We propose an extension of the Standard Model (SM) based on the $SU(3)_C\otimes SU(3)_L\otimes U(1)_X$ (3-3-1) gauge symmetry and scale invariance. Maintaining the main features of the so-called 3-3-1 models, such as the cancellation of…
We present a model in which supersymmetry is dynamically broken at comparatively low energies. Previous efforts to construct simple models of this sort have been hampered by the presence of axions. The present model, which exploits an…
The planar grasshopper problem, originally introduced in (Goulko & Kent 2017 Proc. R. Soc. A 473, 20170494), is a striking example of a model with long-range isotropic interactions whose ground states break rotational symmetry. In this work…
This paper has been withdrawn. It will be split into two separate papers. New results will be added in both papers.