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We analyze whether or not Lifshitz field theories in 4 + 1 dimensions may provide ultraviolet-complete domain-wall brane models. We first show that Lifshitz scalar field theory can admit topologically stable domain wall solutions. A…

High Energy Physics - Phenomenology · Physics 2011-01-17 Jayne E. Thompson , Raymond R. Volkas

In case of a spin-polarized current, the magnetization dynamics in nanowires are governed by the classical Landau-Lifschitz equation with Gilbert damping term, augmented by a typically non-variational Slonczewski term. Taking axial symmetry…

Analysis of PDEs · Mathematics 2020-06-24 Lars Siemer , Ivan Ovsyannikov , Jens D. M. Rademacher

We show that the spacetimes of domain wall solutions to the coupled Einstein-scalar field equations with a given scalar field potential fall into two classes, depending on whether or not reflection symmetry on the wall is imposed. Solutions…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Alejandra Melfo , Nelson Pantoja , Aureliano Skirzewski

It is pointed out that it is very unlikely that we can find analytical solutions built up from elementary functions for the domain wall junctions problem in Wess-Zumino models possessing a trivial Kahler potential.

High Energy Physics - Theory · Physics 2007-05-23 Daniele Binosi

We show that chiral symmetry breaking enables traveling domain wall solution for the conservative Landau-Lifshitz equation of a uniaxial ferromagnet with Dzyaloshinskii-Moriya interaction. In contrast to related domain wall models including…

Mesoscale and Nanoscale Physics · Physics 2019-06-28 Stavros Komineas , Christof Melcher , Stephanos Venakides

Domain wall solitons are basic constructs realizing phase transitions in various field-theoretical models and are solutions to some nonlinear ordinary differential equations descending from the corresponding full sets of governing equations…

Mathematical Physics · Physics 2019-06-21 Lei Cao , Shouxin Chen , Yisong Yang

In this note we research the Abelian Higgs model subject to the Born-Infeld theory of electrodynamics for which the BPS equations can be reduced into a quasi-linear differential equation. We show that the equation exists a unique solution…

Mathematical Physics · Physics 2023-07-14 Lei Cao , Xiao Chen

We study the real-time domain-wall dynamics near a quantum critical point of the one-dimensional anisotropic ferromagnetic spin 1/2 chain. By numerical simulation, we find the domain wall is dynamically stable in the Heisenberg-Ising model.…

Materials Science · Physics 2007-11-15 Shengjun Yuan , Hans De Raedt , Seiji Miyashita

Noncommutative U(N) gauge theories at different N may be often thought of as different sectors of a single theory: the U(1) theory possesses a sequence of vacua labeled by an integer parameter N, and the theory in the vicinity of the N-th…

High Energy Physics - Theory · Physics 2009-11-10 S. L. Dubovsky , S. M. Sibiryakov

We report the existence of a new regime for domain wall motion in uniaxial and near-uniaxial ferromagnetic nanowires, characterised by applied magnetic fields sufficiently strong that one of the domains becomes unstable. There appears a new…

Mesoscale and Nanoscale Physics · Physics 2020-02-05 Arseni Goussev , JM Robbins , Valeriy Slastikov , Sergiy Vasylkevych

We present analytical solutions of BPS domain walls in the Einstein-Maxwell flux landscape. We also remove the smeared-branes approximation and write down solutions with localized branes. In these solutions the domain walls induce strong…

High Energy Physics - Theory · Physics 2013-05-29 Ali Masoumi , I-Sheng Yang

Webs of domain walls are constructed as 1/4 BPS states in d=4, N=2 supersymmetric U(Nc) gauge theories with Nf hypermultiplets in the fundamental representation. Web of walls can contain any numbers of external legs and loops like (p,q)…

High Energy Physics - Theory · Physics 2007-05-23 Minoru Eto , Youichi Isozumi , Muneto Nitta , Keisuke Ohashi , Norisuke Sakai

Coupled triple well (phi6) one-dimensional potentials occur in both condensed matter physics and field theory. Here we provide a set of exact periodic solutions in terms of elliptic functions (domain wall arrays) and obtain single domain…

Exactly Solvable and Integrable Systems · Physics 2007-05-23 Avinash Khare , Avadh Saxena

A new numerical domain decomposition method is proposed for solving elliptic equations on compact Riemannian manifolds. The advantage of this method is to avoid global triangulations or grids on manifolds. Our method is numerically tested…

Numerical Analysis · Mathematics 2024-02-23 Shuhao Cao , Lizhen Qin

$4d$ ${\mathcal N}=1$ super Yang-Mills (SYM) with simply connected gauge group $G$ has $h$ gapped vacua arising from the spontaneously broken discrete $R$-symmetry, where $h$ is the dual Coxeter number of $G$. Therefore, the theory admits…

High Energy Physics - Theory · Physics 2021-01-13 Diego Delmastro , Jaume Gomis

We solve vacuum Einstein's field equations with the cosmological constant in space-times admitting 3-parameter group of isometries with 2-dimensional space-like orbits. The general exact solutions, which are represented in the advanced and…

General Relativity and Quantum Cosmology · Physics 2011-04-22 Chih-Hung Wang , Hing-Tong Cho , Yu-Huei Wu

Domain wall, wormhole, particlelike, and cosmic string general relativistic solutions supported by two interacting phantom or ordinary scalar fields with 4th-, 6th-, and 8th-order potentials are studied. Numerical calculations indicate that…

General Relativity and Quantum Cosmology · Physics 2019-01-15 Vladimir Dzhunushaliev , Vladimir Folomeev , Arislan Makhmudov , Ainur Urazalina

We study the multiplicity of BPS domain walls in N=1 super Yang-Mills theory, by passing to a weakly coupled Higgs phase through the addition of fundamental matter. The number of domain walls connecting two specified vacuum states is then…

High Energy Physics - Theory · Physics 2009-11-07 A. Ritz , M. Shifman , A. Vainshtein

We describe some single-sided BPS domain wall configurations in M-theory. These are smooth non-singular resolutions of Calabi--Yau orbifolds obtained by identifying the two sides of the wall under reflection. They may thus be thought of as…

High Energy Physics - Theory · Physics 2009-10-07 G. W. Gibbons , P. Rychenkova

Plane symmetric perturbations are applied to an axially symmetric Kasner spacetime which leads to no momentum flow orthogonal to the planes of symmetry. This flow appears laminar and the structure can be interpreted as a domain wall. We…

General Relativity and Quantum Cosmology · Physics 2012-01-26 George Kotsopoulos , Charles C. Dyer