Duality, Solitons, and Dilute-Gas Approximation in the One-DimensionalX−YModel with Symmetry-Breaking Fields

1979 ◽  
Vol 43 (1) ◽  
pp. 78-82 ◽  
Author(s):  
Jorge V. José ◽  
Paramdeep S. Sahni
Keyword(s):  
Symmetry Breaking ◽  
Dilute Gas ◽  
The One

scholarly journals Electron Symmetry Breaking during Attosecond Charge Migration Induced by Laser Pulses: Point Group Analyses for Quantum Dynamics

Symmetry ◽  
2021 ◽  
Vol 13 (2) ◽  
pp. 205
Author(s):  
Dietrich Haase ◽  
Gunter Hermann ◽  
Jörn Manz ◽  
Vincent Pohl ◽  
Jean Christophe Tremblay
Keyword(s):  
Laser Pulse ◽  
Symmetry Breaking ◽  
Electric Fields ◽  
Quantum Dynamics ◽  
Point Group ◽  
Laser Pulses ◽  
Charge Migration ◽  
Laser Control ◽  
The One ◽  
Superposition States

Quantum simulations of the electron dynamics of oriented benzene and Mg-porphyrin driven by short (<10 fs) laser pulses yield electron symmetry breaking during attosecond charge migration. Nuclear motions are negligible on this time domain, i.e., the point group symmetries G = D6h and D4h of the nuclear scaffolds are conserved. At the same time, the symmetries of the one-electron densities are broken, however, to specific subgroups of G for the excited superposition states. These subgroups depend on the polarization and on the electric fields of the laser pulses. They can be determined either by inspection of the symmetry elements of the one-electron density which represents charge migration after the laser pulse, or by a new and more efficient group-theoretical approach. The results agree perfectly with each other. They suggest laser control of symmetry breaking. The choice of the target subgroup is restricted, however, by a new theorem, i.e., it must contain the symmetry group of the time-dependent electronic Hamiltonian of the oriented molecule interacting with the laser pulse(s). This theorem can also be applied to confirm or to falsify complementary suggestions of electron symmetry breaking by laser pulses.

Symmetry-breaking bifurcation for the one-dimensional Hénon equation

2019 ◽  
Vol 21 (01) ◽  
pp. 1750097
Author(s):  
Inbo Sim ◽  
Satoshi Tanaka
Keyword(s):  
Symmetry Breaking ◽  
Bifurcation Point ◽  
Global Bifurcation ◽  
One Dimensional ◽  
Bifurcation Points ◽  
Connected Set ◽  
Hénon Equation ◽  
The One ◽  
Symmetry Breaking Bifurcation

We show the existence of a symmetry-breaking bifurcation point for the one-dimensional Hénon equation [Formula: see text] where [Formula: see text] and [Formula: see text]. Moreover, employing a variant of Rabinowitz’s global bifurcation, we obtain the unbounded connected set (the first of the alternatives about Rabinowitz’s global bifurcation), which emanates from the symmetry-breaking bifurcation point. Finally, we give an example of a bounded branch connecting two symmetry-breaking bifurcation points (the second of the alternatives about Rabinowitz’s global bifurcation) for the problem [Formula: see text] where [Formula: see text] is a specified continuous parametrization function.

THE ONE-PARAMETER MODEL AT LHC

2011 ◽  
Vol 26 (02) ◽  
pp. 87-100
Author(s):  
JAMES MAXIN ◽  
VAN E. MAYES ◽  
D. V. NANOPOULOS
Keyword(s):  
Large Hadron Collider ◽  
Symmetry Breaking ◽  
Hadron Collider ◽  
Susy Breaking ◽  
Electroweak Symmetry Breaking ◽  
Electroweak Symmetry ◽  
Brane Model ◽  
String Compactifications ◽  
The One ◽  
Breaking Scale

No-scale supergravity is a framework where it is possible to naturally explain radiative electroweak symmetry breaking and correlate it with the effective SUSY breaking scale. Many string compactifications have a classical no-scale structure, resulting in a one-parameter model (OPM) for the supersymmetry breaking soft terms, which results in a highly constrained subset of mSUGRA. We investigate the allowed supersymmetry parameter space for a generic one-parameter model taking into account the most recent experimental constraints. We also survey the possible signatures which may be observable at the Large Hadron Collider (LHC). Finally, we compare collider signatures of OPM to those from a model with non-universal soft terms, in particular those of an intersecting D6-brane model.

CHARGE RADII OF SPIN $\frac{1}{2}^+$ AND SPIN $\frac{3}{2}^+$ CHARMED BARYONS IN THE CHIRAL CONSTITUENT QUARK MODEL

2013 ◽  
Vol 28 (14) ◽  
pp. 1350052 ◽  
Author(s):  
NEETIKA SHARMA ◽  
HARLEEN DAHIYA
Keyword(s):  
Symmetry Breaking ◽  
Quark Model ◽  
Constituent Quark ◽  
Constituent Quark Model ◽  
Qualitative Description ◽  
Charmed Baryons ◽  
Charge Radii ◽  
Parametrization Method ◽  
The One

The chiral constituent quark model (χCQM) with general parametrization method (GPM) has been extended to calculate the charge radii of the charmed spin [Formula: see text] and spin [Formula: see text] baryons. The implications of such a model have been investigated for the effects of symmetry breaking and GPM parameters pertaining to the one-, two- and three-quark contributions. It is found that the χCQM along with these effects is successful in giving a quantitative and qualitative description of the charge radii of charmed baryons. In particular, it is able to account for the nonzero values of charge radii for the neutral charmed baryons.

scholarly journals Sum rules for leptons

2016 ◽  
Vol 31 (17) ◽  
pp. 1630021 ◽  
Author(s):  
Martin Spinrath
Keyword(s):  
Renormalization Group ◽  
Symmetry Breaking ◽  
Wide Class ◽  
Sum Rules ◽  
The Other ◽  
Neutrino Masses ◽  
Mixing Angles ◽  
The One ◽  
Dynamical Description ◽  
The Impact

There is a wide class of models which give a dynamical description of the origin of flavor in terms of spontaneous symmetry breaking of an underlying symmetry. Many of these models exhibit sum rules which relate on the one hand mixing angles and the Dirac CP phase with each other and/or on the other hand neutrino masses and Majorana phases with each other. We will briefly sketch how this happens and discuss briefly the impact of renormalization group corrections to the mass sum rules.

Kinetic Theory for a Dilute Gas of Particles with "Spin"

1971 ◽  
Vol 26 (6) ◽  
pp. 1057-1071 ◽  
Author(s):  
S. Hess ◽  
L. Waldmann
Keyword(s):  
Moment Method ◽  
Dynamic Behaviour ◽  
Particle Distribution ◽  
Static Field ◽  
Viscosity Coefficients ◽  
Dilute Gas ◽  
Starting Point ◽  
The Moment ◽  
The One ◽  
Transport Relaxation

Abstract The Senftleben-Beenakker effect of the viscosity of dilute polyatomic gases is investigated theoretically for the case where an alternating magnetic field parallel to the usual static field is present. The starting point is a set of transport-relaxation equations obtained from the kinetic equation for the one-particle distribution by application of the moment method. The transport-relaxation equations are solved for the viscosity problem and the relevant viscosity coefficients averaged over many periods of the oscillating field are calculated as functions of the frequency of the alternating field and of the magnitudes of both magnetic fields. The importance of the obtained results for the dynamic behaviour of the thermomagnetic gas torque (Scott effect) is discussed.

scholarly journals ONE-LOOP CALCULATION OF COSMOLOGICAL CONSTANT IN A SCALE INVARIANT THEORY

2009 ◽  
Vol 24 (26) ◽  
pp. 2069-2079 ◽  
Author(s):  
PANKAJ JAIN ◽  
SUBHADIP MITRA
Keyword(s):  
Field Theory ◽  
Scalar Field ◽  
Symmetry Breaking ◽  
Cosmological Constant ◽  
Invariant Theory ◽  
Scale Invariance ◽  
Constant Term ◽  
Scale Invariant ◽  
Gravitational Action ◽  
The One

We compute the cosmological constant in a scale invariant scalar field theory. The gravitational action is also suitably modified to respect scale invariance. Due to scale invariance, the theory does not admit a cosmological constant term. The scale invariance is broken by a recently introduced mechanism called cosmological symmetry breaking. This leads to a nonzero cosmological constant. We compute the one-loop corrections to the cosmological constant and show that it is finite.

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