CLASSICAL AND QUANTUM COMPARISON OF KINK AND BELL SOLITONS AS ZERO-BRANES

2000 ◽  
Vol 15 (01) ◽  
pp. 67-81 ◽  
Author(s):  
KONSTANTIN G. ZLOSHCHASTIEV
Keyword(s):  
Solitary Wave Solution ◽  
Dynamical Symmetry ◽  
Spontaneous Breaking ◽  
Coupling Constant ◽  
Quantum Equation ◽  
Higher Derivatives ◽  
The Masses ◽  
Negative Coupling ◽  
Brane Action ◽  
Rule Out

The self-interacting scalar field theory with the negative coupling constant gives rise to the bell-shaped solitary wave solution which can be interpreted as a massive Bose particle. We compare its properties with those of the kink solution (also known as the domain-wall potential) arisen in the theory with the positive constant introducing the simplest example of the spontaneous breaking of symmetry. We rule out the uniform p-brane action for the kink and bell solutions as the nonminimal point particles with curvature. When quantizing it as the theory with higher derivatives, it is shown that the appearing quantum equation has SU (2) dynamical symmetry group realizing the exact spin-coordinate correspondence. Finally, we calculate the quantum corrections to the masses of kink and bell bosons which cannot be obtained by means of the perturbation theory starting from the vacuum sector.

scholarly journals DYNAMICAL SYMMETRY BREAKING IN A MINIMAL 3-3-1 MODEL

2012 ◽  
Vol 27 (26) ◽  
pp. 1250156 ◽  
Author(s):  
A. DOFF ◽  
A. A. NATALE
Keyword(s):  
Gauge Symmetry ◽  
Symmetry Breaking ◽  
Dynamical Symmetry ◽  
Mass Scale ◽  
Coupling Constant ◽  
Walking Behavior ◽  
Dynamical Symmetry Breaking ◽  
Dynamical Generation ◽  
Breaking Scale

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 minimal SU(3) TC × SU(3)L × U(1)X model, where we propose a new scheme to cancel the chiral anomalies, including two-index symmetric (6) technifermions, which incorporates naturally the walking behavior in the Technicolor (TC) sector. The composite scalar content of the model is minimal and all the symmetry breaking is implemented by a multiplet of technifermions. The choice of TC representations not only provides the anomaly cancelation with a walking behavior, but is crucial to promote the model's full dynamical symmetry breaking. We consider the dynamical generation of technigluon masses and, depending on the 3-3-1 symmetry breaking scale (μ331), we verify that the technigluon mass is strongly linked to the Z′ mass scale, for instance, if μ331 = 1 TeV , we have MZ′ > 1 TeV only if M TG < 350 GeV .

scholarly journals A radical departure from the ‘steady-state’ concept in cosmology

1966 ◽  
Vol 290 (1421) ◽  
pp. 162-176 ◽  
Keyword(s):  
Steady State ◽  
Cosmic Rays ◽  
High Energy ◽  
Expansion Rate ◽  
Coupling Constant ◽  
De Sitter ◽  
Observable Universe ◽  
State Expansion ◽  
The Masses ◽  
Creation Of Matter

The results in this paper are based on an entirely different choice of the undetermined coupling constant f which appears in the theory of creation of matter. Previously f was chosen to make the steady-state expansion rate coincident with the observed expansion rate. Now that we take a much larger value for f , the corresponding steady-state expansion rate is much greater than the observed value. We interpret this difference as showing that we live in a wide, possibly temporary, fluctuation from the steady-state situation. The expansion rate in such a fluctuation follows the Einstein-de Sitter relations. The natural scale set by the new steady-state corresponds to the masses of clusters of galaxies, we obtain 10 13 M0 instead of 10 23 M@ for the ‘observable universe’. It is suggested that elliptical galaxies were formed early in the development of a fluctuation. Our discussion of high energy phenomena leads to im m ediate explanations of the energy spectrum of cosmic rays, of the presence of e + in cosmic rays and of the rate of energy production associated with radio sources.

scholarly journals Fermion mass and mixing in a low-scale seesaw model based on the S4 flavor symmetry

2019 ◽  
Vol 2019 (11) ◽  
Author(s):  
V V Vien ◽  
H N Long ◽  
A E Cárcamo Hernández
Keyword(s):  
Low Energy ◽  
Spontaneous Breaking ◽  
Fermion Mass ◽  
Recent Experimental Data ◽  
Neutrino Masses ◽  
Flavor Symmetry ◽  
Seesaw Model ◽  
Mixing Parameters ◽  
The Masses ◽  
Good Agreement

Abstract We construct a low-scale seesaw model to generate the masses of active neutrinos based on $S_4$ flavor symmetry supplemented by the $Z_2 \times Z_3 \times Z_4 \times Z_{14}\times U(1)_L$ group, capable of reproducing the low-energy Standard Model (SM) fermion flavor data. The masses of the SM fermions and the fermionic mixing parameters are generated from a Froggatt–Nielsen mechanism after spontaneous breaking of the $S_4\times Z_2 \times Z_3 \times Z_4 \times Z_{14}\times U(1)_L$ group. The obtained values for the physical observables of the quark and lepton sectors are in good agreement with the most recent experimental data. The leptonic Dirac CP-violating phase $\delta _\mathrm{CP}$ is predicted to be $259.579^\circ$ and the predictions for the absolute neutrino masses in the model can also saturate the recent constraints.

scholarly journals Electroweak phase transition with three phases in the SU(2)1 ⊗ SU(2)2 ⊗ U(1)Y model

2019 ◽  
Vol 34 (15) ◽  
pp. 1950073
Author(s):  
Vo Quoc Phong ◽  
Minh Anh Nguyen
Keyword(s):  
Phase Transition ◽  
Coupling Constant ◽  
Gauge Bosons ◽  
Electroweak Phase Transition ◽  
First Order ◽  
First Order Phase Transition ◽  
200 Gev ◽  
Strength Formula ◽  
The Masses ◽  
First Order Phase

Our analysis shows that SM-like electroweak phase transition (EWPT) in the [Formula: see text] (2-2-1) model is a first-order phase transition at the 200 GeV scale (the SM scale). Its strength [Formula: see text] is about 1–2.7 and the masses of new gauge bosons are larger than 1.7 TeV when the second VEV is larger than 535 GeV in a three-stage EWPT scenario and the coupling constant of [Formula: see text] group must be larger than 2. Therefore, this first-order EWPT can be used to fix VEVs and the coupling constant of the gauge group in electroweak models.

Dynamical variables in the Bethe-Salpeter formalism

1955 ◽  
Vol 233 (1193) ◽  
pp. 248-266 ◽  
Keyword(s):  
Matrix Element ◽  
Bound States ◽  
Dynamical Variable ◽  
Wave Functions ◽  
Coupling Constant ◽  
Scattering States ◽  
The Matrix ◽  
The Masses

It is shown that a knowledge of the behaviour of the propagators around their singularities enables one to determine not only the masses of bound states, but also the matrix element of any dynamical variable between two bound states. One is thus enabled to find such a matrix element, to any order in the coupling constant, by the integration of certain expressions over the corresponding Bethe-Salpeter wave-functions. As a consequence, it is possible to find normalization and orthogonality properties of these wave-functions, which in turn lead to the condition which must be imposed on their singularities a t the origin. More light is thus shed on Goldstein’s difficulty concerning the existence of a continuous infinity of bound states. The formalism is extended to scattering states in which some of the particles may be composite—in particular, an expression for the S -matrix is obtained

scholarly journals COMPLETE CLASSES OF GUTS WITH VANISHING ONE-LOOP BETA FUNCTIONS

1994 ◽  
Vol 09 (29) ◽  
pp. 5053-5075
Author(s):  
WOLFGANG LUCHA ◽  
FRANZ F. SCHÖBERL
Keyword(s):  
Gauge Coupling ◽  
Coupling Constants ◽  
Coupling Constant ◽  
Finiteness Conditions ◽  
Grand Unified Theories ◽  
Unified Theories ◽  
Dimensionless Coupling ◽  
The One ◽  
The Masses ◽  
Gauge Coupling Constant

By explicit solution of the one-loop finiteness conditions for all dimensionless coupling constants (i.e. the gauge coupling constant as well as Yukawa and quartic scalar-boson self-interaction coupling constants), two classes of grand unified theories characterized by renormalization-group beta functions which all vanish at least at the one-loop level are constructed and analyzed with respect to the (suspected) appearance of quadratic divergences, with the result that without exception in all of these models the masses of both vector and scalar bosons receive quadratically divergent one-loop contributions.

Chiral Symmetry

2019 ◽  
pp. 217-230
Author(s):  
Michael E. Peskin
Keyword(s):  
Symmetry Breaking ◽  
Spontaneous Symmetry Breaking ◽  
Chiral Symmetry ◽  
Goldstone Boson ◽  
Spontaneous Breaking ◽  
Quark Masses ◽  
Zero Mass ◽  
K Mesons ◽  
The Masses

This chapter introduces chiral symmetry, the extra symmetry that QCD acquires when the masses of quarks are set to zero. It introduces the concept of spontaneous symmetry breaking and explains the spontaneous breaking of chiral symmetry in QCD. It introduces the concept of a Goldstone boson, a particle that has zero mass as the result of spontaneous symmetry breaking, and explains how this concept explains properties of the pi and K mesons and allows us to determine the underlying values of the quark masses.

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