scholarly journals Non-Abelian moduli on domain walls

2014 ◽  
Vol 29 (32) ◽  
pp. 1450193 ◽  
Author(s):  
E. Kurianovych ◽  
M. Shifman
Keyword(s):  
Sigma Model ◽  
Domain Walls ◽  
Cosmic Strings ◽  
Equations Of Motion ◽  
Orbit Interaction ◽  
Low Energy ◽  
Spin Orbit ◽  
Energy Limit ◽  
Wall Profile ◽  
Bulk Parameters

We study a simple model supporting domain walls which possess two orientational moduli in addition to the conventional translational modulus. This model is conceptually close to Witten's cosmic strings. We observe an O(3) sigma model on the wall worldvolume in the low-energy limit. We solve (numerically) classical static equations of motion and find the wall profile functions and the value of the coupling of the O(3) model in terms of the bulk parameters. In the second part a term describing a spin-orbit interaction in the bulk is added, which gives rise to an entanglement between rotational and translational moduli. The corresponding extra term in the low-energy Lagrangian is calculated.

scholarly journals Strings and skyrmions on domain walls

2018 ◽  
Vol 33 (18n19) ◽  
pp. 1850111
Author(s):  
Vladimir Bychkov ◽  
Michael Kreshchuk ◽  
Evgeniy Kurianovych
Keyword(s):  
Sigma Model ◽  
Domain Walls ◽  
Analytic Solution ◽  
Low Energy ◽  
Two Dimensional ◽  
Initial Model ◽  
Energy Limit ◽  
One Dimensional ◽  
Energy Theory ◽  
Dimensional Domain

We address a simple model allowing the existence of domain walls with orientational moduli localized on them. Within this model, we discuss an analytic solution and explore it in the context of previously known results. We discuss the existence of one-dimensional domain walls localized on two-dimensional ones, and construct the corresponding effective action. In the low-energy limit, which is the [Formula: see text] sigma-model, we discuss the existence of skyrmions localized on domain walls, and provide a solution for a skyrmion configuration, based on an analogy with instantons. We perform symmetry analysis of the initial model and of the low-energy theory on the domain wall worldvolume.

scholarly journals THE EFFECTIVE LAGRANGIAN OF THREE DIMENSIONAL QUANTUM CHROMODYNAMICS

1992 ◽  
Vol 07 (32) ◽  
pp. 7989-8000 ◽  
Author(s):  
G. FERRETTI ◽  
S.G. RAJEEV ◽  
Z. YANG
Keyword(s):  
Quantum Chromodynamics ◽  
Sigma Model ◽  
Three Dimensional ◽  
Low Energy ◽  
Nonlinear Sigma Model ◽  
Flavor Symmetry ◽  
Energy Limit ◽  
Long Wavelength ◽  
Effective Lagrangian ◽  
Chern Simons

We consider the low energy limit of three dimensional quantum chromodynamics (QCD) with an even number of flavors. We show that parity is not spontaneously broken, but the global (flavor) symmetry is spontaneously broken. The low energy effective Lagrangian is a nonlinear sigma model on the Grassmannian. Some Chern-Simons terms are necessary in the Lagrangian to realize the discrete symmetries correctly. We consider also another parametrization of the low energy sector which leads to a three dimensional analogue of the Wess-Zumino-Witten-Novikov model. Since three dimensional QCD is believed to be a model for quantum antiferromagnetism, our effective Lagrangian can describe their long wavelength excitations (spin waves).

scholarly journals Effects of Rashba Spin-Orbit Coupling On the Anisotropic Magneto Resistance in Domain Wall -=SUP=-*-=/SUP=-

2018 ◽  
Vol 60 (7) ◽  
pp. 1321
Author(s):  
J. Azizi
Keyword(s):  
Domain Wall ◽  
Domain Walls ◽  
Orbit Interaction ◽  
Spin Orbit Coupling ◽  
Spin Orbit ◽  
Electron Current ◽  
Rashba Spin ◽  
Magneto Resistance ◽  
Rashba Coupling ◽  
Classical Boltzmann Equation

AbstractThe present paper, based on semi-classical Boltzmann equation, aims to investigate the effects of Rashba and Dresselhaus spin orbit interaction and impurities on domain wall anisotropic magneto resistance. It has been shown that the mentioned effects play a remarkable role in anisotropic magneto resistance of electron current in domain walls. It was also concluded that while an increase in Rashba coupling strength can effectively enhance anisotropic magneto resistance of the domain wall, an increase in the wave-vector and exchange interaction leads to their decrease.

Ab initio derivation of low-energy Hamiltonians for systems with strong spin-orbit interaction: Application to Ca5Ir3O12

2021 ◽  
Vol 104 (7) ◽  
Author(s):  
Maxime Charlebois ◽  
Jean-Baptiste Morée ◽  
Kazuma Nakamura ◽  
Yusuke Nomura ◽  
Terumasa Tadano ◽  
...  
Keyword(s):  
Ab Initio ◽  
Orbit Interaction ◽  
Low Energy ◽  
Spin Orbit ◽  
Spin Orbit Interaction ◽  
Strong Spin

?a1 Transitions and low-energy limit in the linear sigma model

1991 ◽  
Vol 86 (3) ◽  
pp. 265-269
Author(s):  
M. K. Volkov ◽  
A. A. Osipov
Keyword(s):  
Sigma Model ◽  
Low Energy ◽  
Linear Sigma Model ◽  
Energy Limit

THE BASIN OF ATTRACTION OF A SPIN-ORBIT RESONANCE

1993 ◽  
Vol 03 (05) ◽  
pp. 1305-1309
Author(s):  
ALESSANDRA CELLETTI ◽  
CORRADO FALCOLINI ◽  
LAURA TEDESCHINI-LALLI
Keyword(s):  
Initial Data ◽  
Equations Of Motion ◽  
Basin Of Attraction ◽  
Orbit Interaction ◽  
Spin Orbit ◽  
Numerical Implementation ◽  
Direct Integration ◽  
Spin Orbit Interaction ◽  
The Basin Of Attraction

In this paper we investigate the different behaviors of some satellites, subject to a spin-orbit interaction. In particular we compute, in the space of initial data, the basin of attraction of the 3:2 resonance for the Mercury–Sun and Moon–Earth coupling systems. The results are obtained either by direct integration of the equations of motion or by a numerical implementation of the "straddle" technique to draw the boundary of the basin.

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