Domain walls in a non-linear \mathbbS²-sigma model with homogeneous quartic polynomial potential

2018/06/30 by A. Alonso-Izquierdo, A. J. Balseyro Sebastian, A. J. Balseyro Sebastián +2
Computer Science · Mathematics · Physics and Astronomy · #Advanced Mathematical Modeling in Engineering #Domain (mathematical analysis) #Domain wall (magnetism) #Homogeneous #Nonlinear Dynamics and Pattern Formation #Nonlinear Partial Differential Equations #Polynomial #Quartic function #Stability (learning theory) #hep-th

paper · pdf · doi:10.1007/jhep11(2018)023

published as JHEP 11 (2018) 023 · 23 pages, 5 figures

openalex created_date 2018/07/10 · openalex publication_date 2018/11/01 · arxiv created 2018/12/05 · arxiv updated 2018/12/06 · openalex updated_date 2026/08/05

Abstract

A bstract In this paper the domain wall solutions of a Ginzburg-Landau non-linear \mathbbS² <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msup> <mml:mi>S</mml:mi> <mml:mn>2</mml:mn> </mml:msup> </mml:math> -sigma hybrid model are exactly calculated. There exist two types of basic domain walls and two families of composite domain walls. The domain wall solutions have been identified by using a Bogomolny arrangement in a system of sphero-conical coordinates on the sphere \mathbbS² <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msup> <mml:mi>S</mml:mi> <mml:mn>2</mml:mn> </mml:msup> </mml:math> . The stability of all the domain walls is also investigated.

Citations

• One-loop corrections to classical masses of kink families
• Localizing Gravity on a Stringlike Defect in Six Dimensions
• A unified field theory of mesons and baryons
• Scalar fields, bent branes, and RG flow
• On domain walls in a Ginzburg-Landau non-linear S2-sigma model
• Soliton stability in systems of two real scalar fields
• Bogomol'nyi Equation for Intersecting Domain Walls
• Kinks in a Nonlinear Massive Sigma Model
• Skyrmions and domain walls in dimensions
• Manifest supersymmetry for BPS walls in =2 nonlinear sigma models
• Solvable models of domain walls inN=1supergravity
• Domain wall junctions are 1/4 BPS states
• Localizing gravity on exotic thick 3-branes
• A non-linear field theory
• An Alternative to Compactification
• 4D gravity localized in non Bbb Z2-symmetric thick branes
• Nonlinear Field Theory of Large-Spin Heisenberg Antiferromagnets: Semiclassically Quantized Solitons of the One-Dimensional Easy-Axis Néel State
• Topology of cosmic domains and strings
• Degenerate and critical Bloch branes
• Multisolitons in a two-dimensional Skyrme model
• All exact solutions of a1/4Bogomol’nyi-Prasad-Sommerfield equation